Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneElementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
From inside the book
Results 1-5 of 96
Page 2
... equal to the same thing are equal to one another . iii . x iv als be added to equals the sums are equal . as be taken from equals the remainders are equal . v . If equals be added to or taken from unequals the results are unequal . vi ...
... equal to the same thing are equal to one another . iii . x iv als be added to equals the sums are equal . as be taken from equals the remainders are equal . v . If equals be added to or taken from unequals the results are unequal . vi ...
Page 11
... equal length . Or , a less length of line will reach from one given point to another when the line is straight than ... equal , and become virtually one figure by the superposition . 27 ° . Two line - segments can be compared with ...
... equal length . Or , a less length of line will reach from one given point to another when the line is straight than ... equal , and become virtually one figure by the superposition . 27 ° . Two line - segments can be compared with ...
Page 12
... equal to the two when placed in line with one end - point in each coincident . D E Let AB and DE be two segments , and on the line of which AB is a segment let BC be equal to DE . Then AC is the sum of AB C and DE . A B This is ...
... equal to the two when placed in line with one end - point in each coincident . D E Let AB and DE be two segments , and on the line of which AB is a segment let BC be equal to DE . Then AC is the sum of AB C and DE . A B This is ...
Page 16
... equal when the arms of the one may be made to coincide in direction respec- tively with the arms of the other ; or when the angles are described by the same rotation . Л B B ' -A ' Thus , if , when O is placed upon O , and O'A ' is made ...
... equal when the arms of the one may be made to coincide in direction respec- tively with the arms of the other ; or when the angles are described by the same rotation . Л B B ' -A ' Thus , if , when O is placed upon O , and O'A ' is made ...
Page 18
... equal , and each is a right angle ( 36 ° ) . Therefore , if two adjacent angles formed by two intersect- ing lines are equal to each other , all four of the angles so formed are equal to one another , and each is a right angle . Def . 2 ...
... equal , and each is a right angle ( 36 ° ) . Therefore , if two adjacent angles formed by two intersect- ing lines are equal to each other , all four of the angles so formed are equal to one another , and each is a right angle . Def . 2 ...
Other editions - View all
Common terms and phrases
A. W. VERRALL ABCD algebraic altitude Assistant Master bisects BOOK Cambridge centre of similitude centre-line circles touch circumcircle co-axal coincide collinear common concurrent concurrent lines concyclic congruent cuts denote diagonals diameter divided Edited ELEMENTARY end-points equal angles equianharmonic equilateral triangle excircles EXERCISES external bisector FASNACHT Fcap fixed point G. E. FASNACHT geometric given circles given line given point GREEK harmonic range Hence HISTORY homographic Illustrated inverse points ISAAC TODHUNTER isosceles LAOB line-segment LL.D Mathematical median middle point orthogonally Owens College pair parallel parallelogram passes pencil perpendicular plane point of contact point of intersection Prof Professor Proof quadrangle radical axis radius rectangle regular polygon respect revised right angle right bisector rotation School secant Similarly square straight angle symbol tangent theorem Theorem.-The three circles Translated Trinity College vertex vertices
Popular passages
Page 176 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 9 - BLACKIE— GREEK AND ENGLISH DIALOGUES FOR USE IN SCHOOLS AND COLLEGES. By JOHN STUART BLACKIE, Professor of Greek in the University of Edinburgh.
Page 15 - Hales.— LONGER ENGLISH POEMS. With Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London, &c. &c. Fifth Edition. Extra fcap. 8vo. 4*.
Page 50 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
Page 14 - GRAMMAR : An Attempt to illustrate some of the Differences between Elizabethan and Modern English. By the Rev. EA ABBOTT, DD, Head Master of the City of London School.
Page 183 - The sides of a triangle are proportional to the sines of the opposite angles.
Page 49 - Lethbridge. — A SHORT MANUAL OF THE HISTORY OF INDIA. With an Account of INDIA AS IT is. The Soil, Climate, and Productions ; the People, their Races, Religions, Public Works, and Industries ; the Civil Services, and System of Administration. By ROPER...
Page 27 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 9 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Page 54 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
References to this book
The Classification of Quadrilaterals: A Study of Definition Zalman Usiskin,Jennifer Griffin,David Witonsky,Edwin Willmore No preview available - 2008 |
The Classification of Quadrilaterals: A Study of Definition Zalman Usiskin,Jennifer Griffin,David Witonsky,Edwin Willmore No preview available - 2008 |