A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 5
... reduction . ] 4A . Having given the base c of a triangle and la2 + mb2 = const . , find the locus of the vertex , 7 and m being given quantities . 5. If APC is a right angle the relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2 ...
... reduction . ] 4A . Having given the base c of a triangle and la2 + mb2 = const . , find the locus of the vertex , 7 and m being given quantities . 5. If APC is a right angle the relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2 ...
Σελίδα 7
... reducing we have tt ' = 2i . r1r2 sin 0 .. ... ( 1 ) ( 2 ) . ( 3 ) where √1 = i ; also if y denote the length of the common chord , of the circles ( real or imaginary ) since 2r1r2 sin @ = yd , t . t ' = i . y . d . It is obvious that ...
... reducing we have tt ' = 2i . r1r2 sin 0 .. ... ( 1 ) ( 2 ) . ( 3 ) where √1 = i ; also if y denote the length of the common chord , of the circles ( real or imaginary ) since 2r1r2 sin @ = yd , t . t ' = i . y . d . It is obvious that ...
Σελίδα 10
... / sin C. Also , since C , I , M are three points in a line and O any fourth point , by Euler's Theorem we obtain on reducing r = p cos C ...... ............... ( 1 ) Again , if the circle M , p has external. 10 INTRODUCTION .
... / sin C. Also , since C , I , M are three points in a line and O any fourth point , by Euler's Theorem we obtain on reducing r = p cos C ...... ............... ( 1 ) Again , if the circle M , p has external. 10 INTRODUCTION .
Σελίδα 12
... reduction 23.14 = ( 001.002.003.001 ) 1BC.AD | R2 , and by Ptolemy's Theorem 23.14 + 31.24 + 12.34 = 0 ............... .. ( 1 ) . The contacts in the figure are similar , or all of the same kind , but it will be observed that if the ...
... reduction 23.14 = ( 001.002.003.001 ) 1BC.AD | R2 , and by Ptolemy's Theorem 23.14 + 31.24 + 12.34 = 0 ............... .. ( 1 ) . The contacts in the figure are similar , or all of the same kind , but it will be observed that if the ...
Σελίδα 39
... reducing 2b2 + d cos a . b - d2 = 0 ......... .. ( 2 ) NOTE . - If a = = 0 the quadrilateral is found to be one half of the inscribed hexagon . If a 90 the maximum quadrilateral is the inscribed square . SECTION III . THE POINT O ...
... reducing 2b2 + d cos a . b - d2 = 0 ......... .. ( 2 ) NOTE . - If a = = 0 the quadrilateral is found to be one half of the inscribed hexagon . If a 90 the maximum quadrilateral is the inscribed square . SECTION III . THE POINT O ...
Περιεχόμενα
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 | |
Άλλες εκδόσεις - Προβολή όλων
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 9 - BLACKIE— GREEK AND ENGLISH DIALOGUES FOR USE IN SCHOOLS AND COLLEGES. By JOHN STUART BLACKIE, Professor of Greek in the University of Edinburgh.
Σελίδα 16 - The Golden Treasury of the Best Songs and Lyrical Poems in the English Language. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Σελίδα 50 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
Σελίδα 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...
Σελίδα 30 - SOUND : a Series of Simple, Entertaining, and Inexpensive Experiments in the Phenomena of Sound, for the use of Students of every age.
Σελίδα 10 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 54 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Σελίδα 16 - MARTIN— THE POET'S HOUR: Poetry selected and arranged for Children. By FRANCES MARTIN. Third Edition.
Σελίδα 21 - Whitney and Edgren — A COMPENDIOUS GERMAN AND ENGLISH DICTIONARY, with Notation of Correspondences and Brief Etymologies. By Professor WD WHITNEY, assisted...
Σελίδα 6 - AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge. 8vo.