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. |
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Page 12
... difference between two segments is the segment which remains when , from the longer of the segments , a part is taken away equal in length to the shorter . Thus , if AC and DE be two segments of which AC is the longer , and if BC is ...
... difference between two segments is the segment which remains when , from the longer of the segments , a part is taken away equal in length to the shorter . Thus , if AC and DE be two segments of which AC is the longer , and if BC is ...
Page 14
... difference in direction . E B ' A ' * B Illustration . - Let A and B represent two stars , and E the * A position of an observer's eye . Since the lines EA and EB , which join the eye and the stars , have not the same direction they ...
... difference in direction . E B ' A ' * B Illustration . - Let A and B represent two stars , and E the * A position of an observer's eye . Since the lines EA and EB , which join the eye and the stars , have not the same direction they ...
Page 15
... difference in direction form the angle , are called the arms of the angle , and the point O where the arms meet is the vertex . Cor . From 31 ° , 2 , an angle does not in any way depend upon the lengths of its arms , but only upon their ...
... difference in direction form the angle , are called the arms of the angle , and the point O where the arms meet is the vertex . Cor . From 31 ° , 2 , an angle does not in any way depend upon the lengths of its arms , but only upon their ...
Page 16
... Difference of Angles . - The sum of two angles is the angle described by a radius vector which describes the two angles , or their equals , in succession . P Thus if a radius vector starts from co- incidence with OA and rotates into ...
... Difference of Angles . - The sum of two angles is the angle described by a radius vector which describes the two angles , or their equals , in succession . P Thus if a radius vector starts from co- incidence with OA and rotates into ...
Page 51
... difference between the other two sides . 7. The sum of the segments from any point within a △ to the three vertices is less than the perimeter of the A. 8. ABC is a △ and P is a point within on the bisector of LA . Then the difference ...
... difference between the other two sides . 7. The sum of the segments from any point within a △ to the three vertices is less than the perimeter of the A. 8. ABC is a △ and P is a point within on the bisector of LA . Then the difference ...
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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.
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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 |