Geometry of Position |
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Page 6
... infinity , and the points fceco may be regarded as determined by the intersections with line fe of the pairs of opposite sides and diagonals of a quadrangle . Since cf is parallel to aO , the triangles def and daO are similar , as also ...
... infinity , and the points fceco may be regarded as determined by the intersections with line fe of the pairs of opposite sides and diagonals of a quadrangle . Since cf is parallel to aO , the triangles def and daO are similar , as also ...
Page 15
... infinity on lines u and u ' , the equal segments af and c'h ' ; the segments fh and f'h ' , cut off upon lines u and u ' by the rays Of and Oh ' , will be equal . Similarly , if we set off from the same points the equal external ...
... infinity on lines u and u ' , the equal segments af and c'h ' ; the segments fh and f'h ' , cut off upon lines u and u ' by the rays Of and Oh ' , will be equal . Similarly , if we set off from the same points the equal external ...
Page 16
... Bc . Ab . Ca Ba . Cb . Ac . E D P R Fig . 10 . COR . If the transversal be parallel to AB , that is , to one of the sides , the point c passes to infinity on AB ; so that and Ac Be - unity , Ca. Ab = 16 CHAP . GEOMETRY OF POSITION.
... Bc . Ab . Ca Ba . Cb . Ac . E D P R Fig . 10 . COR . If the transversal be parallel to AB , that is , to one of the sides , the point c passes to infinity on AB ; so that and Ac Be - unity , Ca. Ab = 16 CHAP . GEOMETRY OF POSITION.
Page 21
... infinity above the line ac , ( 2 ° ) the parallel lines am and cm meeting in m at infinity below ac . Let ak and cm meet in the point l and am and ck in n ; and shew , by the aid of the quadrangle klmn , that a and c are harmonically ...
... infinity above the line ac , ( 2 ° ) the parallel lines am and cm meeting in m at infinity below ac . Let ak and cm meet in the point l and am and ck in n ; and shew , by the aid of the quadrangle klmn , that a and c are harmonically ...
Page 30
... infinity on the right of the figure ; so also are lines PT and PT ' as pro- jected from pole B , as well as lines PR and PR ' as pro- jected from pole C. Further , the point P is a double point common to lines PT ' and PR ' as projected ...
... infinity on the right of the figure ; so also are lines PT and PT ' as pro- jected from pole B , as well as lines PR and PR ' as pro- jected from pole C. Further , the point P is a double point common to lines PT ' and PR ' as projected ...
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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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