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 34
Page 44
... quadrangle or quadrilateral . Thus ABCD is a quadrangle . 2. The line - segments AC and BD which join opposite vertices are the diagonals of the quadrangle . 3. The quadrangle formed when two parallel lines intersect two 44 SYNTHETIC ...
... quadrangle or quadrilateral . Thus ABCD is a quadrangle . 2. The line - segments AC and BD which join opposite vertices are the diagonals of the quadrangle . 3. The quadrangle formed when two parallel lines intersect two 44 SYNTHETIC ...
Page 45
Nathan Fellowes Dupuis. 3. The quadrangle formed when two parallel lines intersect two other parallel lines is a parallelogram , and is usually denoted by the symbol J. 81 ° . Theorem . - In any parallelogram— 1. The opposite sides are ...
Nathan Fellowes Dupuis. 3. The quadrangle formed when two parallel lines intersect two other parallel lines is a parallelogram , and is usually denoted by the symbol J. 81 ° . Theorem . - In any parallelogram— 1. The opposite sides are ...
Page 46
... . ABDG = FDh , ( 64 ° ) and BD = DF . q.e.d. Def . — The figure ABFE is a trapezoid . Therefore a trapezoid is a quadrangle having only two sides parallel . The parallel sides are the major and 46 SYNTHETIC GEOMETRY .
... . ABDG = FDh , ( 64 ° ) and BD = DF . q.e.d. Def . — The figure ABFE is a trapezoid . Therefore a trapezoid is a quadrangle having only two sides parallel . The parallel sides are the major and 46 SYNTHETIC GEOMETRY .
Page 50
... quadrangle will mean this figure . 2. The quadrangle ( 2 ) in which one of the internal angles , as at D , is greater than a straight angle . Such an angle in a closed figure is called a re - entrant angle . We will call this an ...
... quadrangle will mean this figure . 2. The quadrangle ( 2 ) in which one of the internal angles , as at D , is greater than a straight angle . Such an angle in a closed figure is called a re - entrant angle . We will call this an ...
Page 51
... quadrangle , and the Ls at B and D are right angles : . ' . or But and the ... LBAD + 2BCD = 1 , LBCD is supplementary to BAD . LBCD is supplementary to LECD ; B E ( hyp . ) ( 90 ° ) ( 39 ° ) ( BC . CD ) is either the angle BCD or DCE ...
... quadrangle , and the Ls at B and D are right angles : . ' . or But and the ... LBAD + 2BCD = 1 , LBCD is supplementary to BAD . LBCD is supplementary to LECD ; B E ( hyp . ) ( 90 ° ) ( 39 ° ) ( BC . CD ) is either the angle BCD or DCE ...
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 |