Advertisement
| john napier contributions to mathematics: The Life and Works of John Napier Brian Rice, Enrique González-Velasco, Alexander Corrigan, 2017-03-09 For the first time, all five of John Napier’s works have been brought together in English in a single volume, making them more accessible than ever before. His four mathematical works were originally published in Latin: two in his lifetime (1550–1617), one shortly after he died, and one over 200 years later. The authors have prepared three introductory chapters, one covering Napier himself, one his mathematical works, and one his religious work. The former has been prepared by one of Napier’s descendants and contains many new findings about Napier’s life to provide the most complete biography of this enigmatic character, whose reputation has previously been overshadowed by rumour and speculation. The latter has been written by an academic who was awarded a PhD for his thesis on Napier at the University of Edinburgh, and it provides the most lucid and coherent coverage available of this abstruse and little understood work. The chapter on Napier’s mathematical texts has been authored by an experienced and respected academic, whose recent works have specialised in the history of mathematics and whose Journey through Mathematics was selected in March of 2012 as an Outstanding Title in Mathematics by Choice magazine, a publication of the American Library Association. All three authors have revisited the primary sources extensively and deliver new insights about Napier and his works, whilst revising the many myths and assumptions that surround his life and character. |
| john napier contributions to mathematics: John Napier Julian Havil, 2014-10-05 The most comprehensive account of the mathematician's life and work John Napier (1550–1617) is celebrated today as the man who invented logarithms—an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s. Yet, despite Napier's pioneering efforts, his life and work have not attracted detailed modern scrutiny. John Napier is the first contemporary biography to take an in-depth look at the multiple facets of Napier’s story: his privileged position as the eighth Laird of Merchiston and the son of influential Scottish landowners; his reputation as a magician who dabbled in alchemy; his interest in agriculture; his involvement with a notorious outlaw; his staunch anti-Catholic beliefs; his interactions with such peers as Henry Briggs, Johannes Kepler, and Tycho Brahe; and, most notably, his estimable mathematical legacy. Julian Havil explores Napier’s original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napier’s inventive mathematical ideas also include formulas for solving spherical triangles, Napier’s Bones (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napier’s study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. John—the work for which Napier believed he would be most remembered. John Napier assesses one man’s life and the lasting influence of his advancements on the mathematical sciences and beyond. |
| john napier contributions to mathematics: John Napier and the Invention of Logarithms, 1614 Ernest William Hobson, 1914 |
| john napier contributions to mathematics: Making up Numbers: A History of Invention in Mathematics Ekkehard Kopp, 2020-10-23 Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject. |
| john napier contributions to mathematics: The Construction of the Wonderful Canon of Logarithms John Napier, 1889 |
| john napier contributions to mathematics: John Napier , Presents a biographical sketch of Scottish mathematician John Napier (1550-1617), compiled as part of the MacTutor History of Mathematics Archive of the School of Mathematics and Statistics at the University of Saint Andrews in Scotland. Highlights Naimark's work on logarithms. |
| john napier contributions to mathematics: Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences I. Grattan-Guinness, 2003 The first book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics. |
| john napier contributions to mathematics: Leonardo Pisano (Fibonacci) L. E. Sigler, 2014-06-28 The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system. |
| john napier contributions to mathematics: Curves for the Mathematically Curious Julian Havil, 2019-10-15 Ten amazing curves personally selected by one of today's most important math writers Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of a curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves—and now you can share in this adventure. Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling. |
| john napier contributions to mathematics: Beyond Infinity Eugenia Cheng, 2017-03-09 SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small. |
| john napier contributions to mathematics: Handbook of Mathematical Functions Milton Abramowitz, Irene A. Stegun, 1965-01-01 An extensive summary of mathematical functions that occur in physical and engineering problems |
| john napier contributions to mathematics: Elusive Destiny Paul Litt, 2011-10-21 “Going my way?” asked John Turner’s campaign brochure in 1962, “my way is the Liberal way.” It was, that is, until Pierre Trudeau came to power. Turner was his party’s star apprentice in the Liberal art of managing a heterogeneous nation through brokerage politics, but in the 1968 election Canadians opted instead for a newly minted celebrity leader for a re-imagined nation. A political biography extraordinaire, Elusive Destiny reveals the inner workings of the Liberal Party in its heyday as charted through the meteoric rise and fall of John Napier Turner. It highlights Turner’s vision for the country and tallies the political price he paid when he deviated from the Trudeau legacy on matters such as language rights, social spending, and Quebec. It also provides a new perspective on federal politics from the 1960s through the 1980s while giving John Turner his rightful place in Canadian history. |
| john napier contributions to mathematics: A History of Mathematics Florian Cajori, 1893 |
| john napier contributions to mathematics: Makers of Mathematics Alfred Hooper, 1949 |
| john napier contributions to mathematics: The Foundations of Geometry David Hilbert, 1902 |
| john napier contributions to mathematics: History Of Mathematics David Eugene Smith, Wooster Woodruff Beman, 2022-10-26 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| john napier contributions to mathematics: Stamping through Mathematics Robin J. Wilson, 2006-05-07 The astonishing variety and beauty of mathematical elements in stamp design is brought to life in this collection of more than 350 stamps, each reproduced in enlarged format, in full color. With simple explantory text to accompany each stamp, the book makes the perfect gift for students, teachers, and anyone interested in the fascinating world of stamps, and mathematics. |
| john napier contributions to mathematics: The Irrationals Julian Havil, 2014-09-22 Annotation The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. InThe Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, asThe Irrationalsshows, these are the real complex numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apéry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between ordinary irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is random. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it. |
| john napier contributions to mathematics: An Account of the Life, Writings, and Inventions of John Napier of Merchiston David Stewart Erskine Earl of Buchan, Walter Minto, 1778 |
| john napier contributions to mathematics: Modern Instruments and Methods of Calculation, a Handbook of the Napier Tercentenary Exhibition E M Ed Horsburgh, 2015-08-08 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| john napier contributions to mathematics: Journey through Mathematics Enrique A. González-Velasco, 2011-08-08 This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math. |
| john napier contributions to mathematics: A History of Mathematics Victor J. Katz, 2013-10-03 A History of Mathematics, Third Edition, provides students with a solid background in the history of mathematics and focuses on the most important topics for today’s elementary, high school, and college curricula. Students will gain a deeper understanding of mathematical concepts in their historical context, and future teachers will find this book a valuable resource in developing lesson plans based on the history of each topic. This book is ideal for a junior or senior level course in the history of mathematics for mathematics majors intending to become teachers. |
| john napier contributions to mathematics: Institutes of the Christian Religion Jean Calvin, 1970 |
| john napier contributions to mathematics: Scottish National Consciousness in the Age of James VI Arthur Williamson, 2003-11-24 This book deals with the problem of Scottish identity within the British context in the sixteenth and seventeenth centuries. On James VI's succession to the English throne in 1603 the Scots were troubled at the prospect of Scotland's nationhood being absorbed by a supremely confident and intolerant England. Their strategic response was to develop a self-conscious attention to Scotland's past. The non-institutionalised nature of Scottish society made it difficult for the Scots to produce a long and respectable history to vie with England's much-vaunted and impressive pedigree. The idea that the Scots seized on to define and validate their identity was that of the covenant with God – and this had profound and far-reaching results. This original and stimulating book provides a valuable contribution to the understanding of the processes of secularisation in early modern Europe, and indicates the significant ways in which the Scottish experience differed from that of England. It therefore provides a useful corrective to an Anglocentric interpretation of 'Britain'. |
| john napier contributions to mathematics: A Treatise on Universal Algebra Alfred North Whitehead, 1898 |
| john napier contributions to mathematics: The Geometry of René Descartes René Descartes, 1925 The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. The greatest single step ever made in the progress of the exact sciences. -- John Stuart Mill. |
| john napier contributions to mathematics: The Saga of Mathematics Marty Lewinter, William Widulski, 2001 For undergraduate-level courses in the History of Mathematics, or Liberal Arts Mathematics. Perfect for the non-math major, this inexpensive paperback text uses lively language to put mathematics in an interesting, historical context and points out the many links to art, philosophy, music, computers, navigation, science, and technology. The arithmetic, algebra, and geometry are presented in a way that makes them relevant to daily life as well as larger issues. |
| john napier contributions to mathematics: A Concise History of Mathematics Dirk Struik, 1999 |
| john napier contributions to mathematics: When Least Is Best Paul Nahin, 2021-05-18 By combining the mathematical history of extremes with contemporary examples, Paul J. Nahin answers some intriguing questions such as: what is the best way to photograph a speeding bullet?; and why does light move through glass in the least possible amount of time? |
| john napier contributions to mathematics: The Arithmetic of Infinitesimals John Wallis, 2013-06-29 The book is the first English translation of John Wallis's Arithmetica Infinitorum (1656), a key text on the seventeenth-century development of the calculus. Accompanied with annotations and an introductory essay, the translation makes Wallis's work fully available for the first time to modern readers. It shows how Wallis drew on some of the most important new ideas from the preceding twenty years, and took them forward to lay the foundations on which Newton was to build. Above all, the book displays the crucial mid-seventeenth-century shift from geometry to arithmetic and algebra as the primary language of mathematics. |
| john napier contributions to mathematics: Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita Paul Stäckel, 2023-07-18 This classic work of mathematical physics by Euler is presented in a clear and accessible new translation by Paul Stäckel. With detailed explanations and rigorous proofs, Euler lays out the principles of classical mechanics and explores the physics of motion in great detail. A must-read for anyone interested in the history and nature of physical science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| john napier contributions to mathematics: Heavenly Mathematics Glen Van Brummelen, 2017-04-04 Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth.--Jacket. |
| john napier contributions to mathematics: Napier's Bones D. J. Bryden, 1992 |
| john napier contributions to mathematics: Napier Tercentenary Memorial Volume Cargill Gilston Knott, 2018-10-09 This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| john napier contributions to mathematics: Euclid's Elements Euclid, Dana Densmore, 2002 The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary --from book jacket. |
| john napier contributions to mathematics: A History of Mathematics Carl Benjamin Boyer, 1985 The Description for this book, A History of Mathematics, will be forthcoming. |
| john napier contributions to mathematics: Contributions to Probability Eugene Lukacs, 1981 Probability; Applications of probability; Information theory; Statistical theory. |
| john napier contributions to mathematics: Euclid's Elements A. C. McKay, R. A. Thompson, 2016-08-26 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| john napier contributions to mathematics: André Weil, 1906-1998 François Digne, 1999 |
| john napier contributions to mathematics: Analytical Institutions Maria Gaetana Agnesi, 2012-03-02 Hardcover reprint of the original 1801 edition - beautifully bound in brown cloth covers featuring titles stamped in gold, 8vo - 6x9. No adjustments have been made to the original text, giving readers the full antiquarian experience. For quality purposes, all text and images are printed as black and white. This item is printed on demand. Book Information: Agnesi, Maria Gaetana. Analytical Institutions In Four Books: Originally Written In Italian. Indiana: Repressed Publishing LLC, 2012. Original Publishing: Agnesi, Maria Gaetana. Analytical Institutions In Four Books: Originally Written In Italian, . London: Printed By Taylor And Wilks, 1801. Subject: Mathematics |
John 1 NIV - The Word Became Flesh - In the - Bible Gateway
John the Baptist Denies Being the Messiah. 19 Now this was John’s testimony when the Jewish leaders in Jerusalem sent priests and Levites to ask him who he was. 20 He did not fail to …
John 1 KJV - In the beginning was the Word, and the - Bible Gateway
26 John answered them, saying, I baptize with water: but there standeth one among you, whom ye know not; 27 He it is, who coming after me is preferred before me, whose shoe's latchet I am …
John 1 NLT - Prologue: Christ, the Eternal Word - In - Bible Gateway
6 God sent a man, John the Baptist, 7 to tell about the light so that everyone might believe because of his testimony. 8 John himself was not the light; he was simply a witness to tell …
John 1 NKJV - The Eternal Word - In the beginning was - Bible …
John’s Witness: The True Light. 6 There was a man sent from God, whose name was John. 7 This man came for a witness, to bear witness of the Light, that all through him might believe. 8 He …
John 6 NIV - Jesus Feeds the Five Thousand - Some - Bible Gateway
Jesus Feeds the Five Thousand - Some time after this, Jesus crossed to the far shore of the Sea of Galilee (that is, the Sea of Tiberias), and a great crowd of people followed him because they …
John 11 NIV - The Death of Lazarus - Now a man named - Bible …
The Death of Lazarus - Now a man named Lazarus was sick. He was from Bethany, the village of Mary and her sister Martha. (This Mary, whose brother Lazarus now lay sick, was the same one …
John 5 NIV - The Healing at the Pool - Some time - Bible Gateway
John 5:4 Some manuscripts include here, wholly or in part, paralyzed—and they waited for the moving of the waters. 4 From time to time an angel of the Lord would come down and stir up …
John 16 NIV - “All this I have told you so that you - Bible Gateway
“All this I have told you so that you will not fall away. They will put you out of the synagogue; in fact, the time is coming when anyone who kills you will think they are offering a service to God. …
JOhn 19 NIV - Jesus Sentenced to Be Crucified - Bible Gateway
Jesus Sentenced to Be Crucified - Then Pilate took Jesus and had him flogged. The soldiers twisted together a crown of thorns and put it on his head. They clothed him in a purple robe and …
John 8 NIV - but Jesus went to the Mount of Olives. - Bible Gateway
John 8:28 The Greek for lifted up also means exalted. John 8:38 Or presence. Therefore do what you have heard from the Father. John 8:39 Some early manuscripts “If you are Abraham’s …
John 1 NIV - The Word Became Flesh - In the - Bible Gateway
John the Baptist Denies Being the Messiah. 19 Now this was John’s testimony when the Jewish leaders in Jerusalem sent priests and Levites to ask him who he was. 20 He did not fail to …
John 1 KJV - In the beginning was the Word, and the - Bible …
26 John answered them, saying, I baptize with water: but there standeth one among you, whom ye know not; 27 He it is, who coming after me is preferred before me, whose shoe's latchet I …
John 1 NLT - Prologue: Christ, the Eternal Word - In - Bible Gateway
6 God sent a man, John the Baptist, 7 to tell about the light so that everyone might believe because of his testimony. 8 John himself was not the light; he was simply a witness to tell …
John 1 NKJV - The Eternal Word - In the beginning was - Bible …
John’s Witness: The True Light. 6 There was a man sent from God, whose name was John. 7 This man came for a witness, to bear witness of the Light, that all through him might believe. 8 …
John 6 NIV - Jesus Feeds the Five Thousand - Some - Bible …
Jesus Feeds the Five Thousand - Some time after this, Jesus crossed to the far shore of the Sea of Galilee (that is, the Sea of Tiberias), and a great crowd of people followed him because they …
John 11 NIV - The Death of Lazarus - Now a man named - Bible …
The Death of Lazarus - Now a man named Lazarus was sick. He was from Bethany, the village of Mary and her sister Martha. (This Mary, whose brother Lazarus now lay sick, was the same …
John 5 NIV - The Healing at the Pool - Some time - Bible Gateway
John 5:4 Some manuscripts include here, wholly or in part, paralyzed—and they waited for the moving of the waters. 4 From time to time an angel of the Lord would come down and stir up …
John 16 NIV - “All this I have told you so that you - Bible Gateway
“All this I have told you so that you will not fall away. They will put you out of the synagogue; in fact, the time is coming when anyone who kills you will think they are offering a service to God. …
JOhn 19 NIV - Jesus Sentenced to Be Crucified - Bible Gateway
Jesus Sentenced to Be Crucified - Then Pilate took Jesus and had him flogged. The soldiers twisted together a crown of thorns and put it on his head. They clothed him in a purple robe …
John 8 NIV - but Jesus went to the Mount of Olives. - Bible Gateway
John 8:28 The Greek for lifted up also means exalted. John 8:38 Or presence. Therefore do what you have heard from the Father. John 8:39 Some early manuscripts “If you are Abraham’s …
