Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página 9
... intercepts ff , and OO , ( Fig . 5 ) are per- spective of the intercepts dd ,; whilst the intercepts gg1 are perspective of intercepts OO , and projective of intercepts dd I 9 ANHARMONIC PENCILS AND RATIOS.
... intercepts ff , and OO , ( Fig . 5 ) are per- spective of the intercepts dd ,; whilst the intercepts gg1 are perspective of intercepts OO , and projective of intercepts dd I 9 ANHARMONIC PENCILS AND RATIOS.
Página 10
Robert Hudson Graham. perspective of intercepts OO , and projective of intercepts dd ,. COR . VII . If the line d'O ' ( Fig . 4 ) traversing the centre O2 a2 n m b2 2d2 d1 Fig . 6 . O ' and the intersection of tangents drawn through the ...
Robert Hudson Graham. perspective of intercepts OO , and projective of intercepts dd ,. COR . VII . If the line d'O ' ( Fig . 4 ) traversing the centre O2 a2 n m b2 2d2 d1 Fig . 6 . O ' and the intersection of tangents drawn through the ...
Página 11
... centre of perspective O ' of the lines up and u . Any fourth point can then be found in the usual way , making use of the centre O , instead of O .. DEF . I. Between the angles and intercepts , bounded 1 11 ANHARMONIC PENCILS AND RATIOS.
... centre of perspective O ' of the lines up and u . Any fourth point can then be found in the usual way , making use of the centre O , instead of O .. DEF . I. Between the angles and intercepts , bounded 1 11 ANHARMONIC PENCILS AND RATIOS.
Página 12
Robert Hudson Graham. DEF . I. Between the angles and intercepts , bounded by every consecutive four elements of homologous systems , there exists the following important relation . Let any consecutive four rays abcd of the pencil S ...
Robert Hudson Graham. DEF . I. Between the angles and intercepts , bounded by every consecutive four elements of homologous systems , there exists the following important relation . Let any consecutive four rays abcd of the pencil S ...
Página 15
... intercepted by the rays Og and Ok ' , will be equal . . u ' u h a = ∞ k c = ∞ k g ' Fig . 8 . 5. If a transversal abc ( Fig . 9 ) be drawn across the sides of a triangle , the products of the alternate segments are equal . A C k b For ...
... intercepted by the rays Og and Ok ' , will be equal . . u ' u h a = ∞ k c = ∞ k g ' Fig . 8 . 5. If a transversal abc ( Fig . 9 ) be drawn across the sides of a triangle , the products of the alternate segments are equal . A C k b For ...
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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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