Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página xiii
... Perspective Relations of . Harmonic Properties of 64 65 19. Involution 66 20 . " " Superposed Ranges in 68 21 . Points on Conics in 68 99 22 . Double Points in 70 99 23 . 24 . Inversion of 22 • Pencil and Range in • 25. Involute ...
... Perspective Relations of . Harmonic Properties of 64 65 19. Involution 66 20 . " " Superposed Ranges in 68 21 . Points on Conics in 68 99 22 . Double Points in 70 99 23 . 24 . Inversion of 22 • Pencil and Range in • 25. Involute ...
Página xvii
... perspective G upon a second line u'u ' in the points F'P'C ' , the lines uu and u'u ' are said to be in perspective ; and the points FF , PP ' , CC ' are termed correlative or homologous points . LEMMA I. - If the correlative or ...
... perspective G upon a second line u'u ' in the points F'P'C ' , the lines uu and u'u ' are said to be in perspective ; and the points FF , PP ' , CC ' are termed correlative or homologous points . LEMMA I. - If the correlative or ...
Página xviii
... perspective of both pencils ; because , since three pairs of homologous rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . O∞ 0 F K P P " P CH И u ' Fig . 1 . THEOREM . - If from ...
... perspective of both pencils ; because , since three pairs of homologous rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . O∞ 0 F K P P " P CH И u ' Fig . 1 . THEOREM . - If from ...
Página 1
... perspective from the centre G ( Lemma I. ) . For similar reasons the lines u'u ' and u " u " are in perspective from the centre H , the point of intersection of the sides F'F " and C'C " . But , the three pairs of points FF " , CC ...
... perspective from the centre G ( Lemma I. ) . For similar reasons the lines u'u ' and u " u " are in perspective from the centre H , the point of intersection of the sides F'F " and C'C " . But , the three pairs of points FF " , CC ...
Página 2
... perspective of both pencils ; because , since three pairs of homologous rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . G K u u O F F P H Fig . 1 . C THEOREM . - If from any ...
... perspective of both pencils ; because , since three pairs of homologous rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . G K u u O F F P H Fig . 1 . C THEOREM . - If from any ...
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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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