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Page viii
... direction from a point on a conic ( Figs . 13-17 ) was originally published by the author in Nature . A great proportion of the examples is original ; but for many of those set at the end of chapter ii . , as well as for a few of those ...
... direction from a point on a conic ( Figs . 13-17 ) was originally published by the author in Nature . A great proportion of the examples is original ; but for many of those set at the end of chapter ii . , as well as for a few of those ...
Page 13
... direction are said to be concurrent ; and homologous systems pro- ceeding in contrary directions are said to be opposed . 2 2 2 COR . III . If two lines u and u , be in perspective from the same centre O ; and if their homologous points ...
... direction are said to be concurrent ; and homologous systems pro- ceeding in contrary directions are said to be opposed . 2 2 2 COR . III . If two lines u and u , be in perspective from the same centre O ; and if their homologous points ...
Page 16
... directions such as Ab and Cb being affected with opposite signs , Ab Ac B ( 2 ) ; съ Ck or Fig . 9 . Ca. Ab Ba . Cb = whence , by multiplication of ratios ( 1 ) and ( 2 ) , Ac Bc ' Bc . Ab . Ca Ba . Cb . Ac . E D P R Fig . 10 . COR . If ...
... directions such as Ab and Cb being affected with opposite signs , Ab Ac B ( 2 ) ; съ Ck or Fig . 9 . Ca. Ab Ba . Cb = whence , by multiplication of ratios ( 1 ) and ( 2 ) , Ac Bc ' Bc . Ab . Ca Ba . Cb . Ac . E D P R Fig . 10 . COR . If ...
Page 21
... directions , along which set off OP'a and B'C ' = b . Join C'P ' meeting OB ' in F. 7. From a given point to draw a line through the in- accessible point of intersection of two converging lines . 8. Defining the complete plane polygon ...
... directions , along which set off OP'a and B'C ' = b . Join C'P ' meeting OB ' in F. 7. From a given point to draw a line through the in- accessible point of intersection of two converging lines . 8. Defining the complete plane polygon ...
Page 36
... direction in which P should fall . Then , since the angles at which PQ and PS PQ PA cut lines AB and AC are given ... directions of PR PI and PT relatively to CD and BD are given. 36 CHAP . GEOMETRY OF POSITION.
... direction in which P should fall . Then , since the angles at which PQ and PS PQ PA cut lines AB and AC are given ... directions of PR PI and PT relatively to CD and BD are given. 36 CHAP . GEOMETRY OF POSITION.
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Common terms and phrases
A. S. WALPOLE A. W. VERRALL Assistant Master BEGINNERS bending-moment bisect Cambridge centre of gravity chord circle Clifton College complete quadrangle conic conjugate points conjugate rays corresponding curve double points draw drawn parallel Edited elastic line ELEMENTARY TREATISE ellipse ENGLISH equal Fcap Fellow of Trinity foci forces funicular G. E. FASNACHT GEOMETRY given GRAMMAR GREEK HISTORY homologous points hyperbola Illustrated infinity intercept Introduction and Notes involution ISAAC TODHUNTER J. P. MAHAFFY J. P. POSTGATE LATIN Lecturer line of action Litt LL.D load M.A. BOOK M.A. Cr MACMILLAN'S Mathematics meet Owens College pairs of opposite parabola pencil perpendicular perspective plane point of contact point of intersection polar distance pole preparation PRIMER Prof Professor projective punctuated line quadrangle ratio reciprocal respectively revised School shew span straight line tangent Translated triangle Trinity College University University of Cambridge vertical wherefore
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