A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous Examples |
From inside the book
Results 1-5 of 87
Page vi
... Similar Figures . A feature of the volume is the application of Reciprocation to many of the best known theorems by which the corresponding properties of the Conic are ascertained . This method and that of Inversion are pursued as far ...
... Similar Figures . A feature of the volume is the application of Reciprocation to many of the best known theorems by which the corresponding properties of the Conic are ascertained . This method and that of Inversion are pursued as far ...
Page viii
... Similar Loci , Examples , 21-23 . Additional Theorems ,. Examples , . Extension of Ptolemy's Theorem , 40 42 43 44 45 • 48 24. Theorem ,. Examples , 25. Theorem . Centre of Similitude , Examples , 49 50 51 53 26 . SECTION IV ...
... Similar Loci , Examples , 21-23 . Additional Theorems ,. Examples , . Extension of Ptolemy's Theorem , 40 42 43 44 45 • 48 24. Theorem ,. Examples , 25. Theorem . Centre of Similitude , Examples , 49 50 51 53 26 . SECTION IV ...
Page xii
... . 94 , 95. Fundamental Properties , . Examples ,. Orthocentroidal Circle , Miscellaneous Examples , Extension of Weill's Theorem , 197 198 200 200 201 ARTICLE CHAPTER IX . THEORY OF SIMILAR FIGURES . SECTION xii CONTENTS .
... . 94 , 95. Fundamental Properties , . Examples ,. Orthocentroidal Circle , Miscellaneous Examples , Extension of Weill's Theorem , 197 198 200 200 201 ARTICLE CHAPTER IX . THEORY OF SIMILAR FIGURES . SECTION xii CONTENTS .
Page xiii
... SIMILAR FIGURES . SECTION I. TWO SIMILAR FIGURES . 96. Homothetic Figures , 97. Fundamental Properties . Homothetic Centre , Centre of Similitude , · • 98. Double Points of Similar Polygons , 99. Further Properties , Instantaneous ...
... SIMILAR FIGURES . SECTION I. TWO SIMILAR FIGURES . 96. Homothetic Figures , 97. Fundamental Properties . Homothetic Centre , Centre of Similitude , · • 98. Double Points of Similar Polygons , 99. Further Properties , Instantaneous ...
Page 7
... similar expressions for 02 and 03. ] 2. To find the angle of intersection of the in- and circum - circles . - - [ ♪ 2 = Ra – 2Rr , therefore 2 sin 10 = √ ir R where 1 ] 3. If two concentric circles cut orthogonally one is real and the ...
... similar expressions for 02 and 03. ] 2. To find the angle of intersection of the in- and circum - circles . - - [ ♪ 2 = Ra – 2Rr , therefore 2 sin 10 = √ ir R where 1 ] 3. If two concentric circles cut orthogonally one is real and the ...
Contents
167 | |
173 | |
184 | |
191 | |
197 | |
211 | |
219 | |
227 | |
56 | |
60 | |
69 | |
76 | |
77 | |
84 | |
96 | |
112 | |
121 | |
128 | |
155 | |
234 | |
243 | |
250 | |
261 | |
271 | |
277 | |
282 | |
293 | |
11 | |
17 | |
23 | |
Other editions - View all
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland No preview available - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland No preview available - 2018 |
Common terms and phrases
ABCD bisected bisector Brocard points centre of similitude centres of perspective circum-centre circum-circle coaxal system coincide common tangents concurrent concurrent lines conic constant corresponding cyclic polygon cyclic quadrilateral denote diagonals diameter distances equal equation equianharmonic ex-circles fixed point given circles hence hexagon in-circle infinity inscribed inverse points Isogonal Conjugates isosceles limiting points line at infinity lines joining locus maximum mean centre median median triangle meet middle point minimum multiples opposite sides orthocentre orthogonally pair of inverse parallel pedal triangle perpendiculars point of intersection points of contact polar polygon prove r₁ radical axis radius reciprocal rectangle right angles segments sides of ABC similar triangles Similarly Simson lines species squares subtend symmedian point system of points tangents Theorem transversal triangle ABC triangle PQR vertex vertical angle
Popular passages
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 16 - The Golden Treasury of the Best Songs and Lyrical Poems in the English Language. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Page 50 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
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 30 - SOUND : a Series of Simple, Entertaining, and Inexpensive Experiments in the Phenomena of Sound, for the use of Students of every age.
Page 10 - 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 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Page 16 - MARTIN— THE POET'S HOUR: Poetry selected and arranged for Children. By FRANCES MARTIN. Third Edition.
Page 21 - Whitney and Edgren — A COMPENDIOUS GERMAN AND ENGLISH DICTIONARY, with Notation of Correspondences and Brief Etymologies. By Professor WD WHITNEY, assisted...
Page 6 - AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge. 8vo.