Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página xvii
... situate on any line uu ( Fig . 1 ) be projected from a centre of 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 ...
... situate on any line uu ( Fig . 1 ) be projected from a centre of 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 ...
Página 13
... situate upon the line u and having the points of intersection of u with u , and OO , in common . These two points coincide when the intersection of u with u , falls upon the line of centres OO2 . With the centres O and O , in the ...
... situate upon the line u and having the points of intersection of u with u , and OO , in common . These two points coincide when the intersection of u with u , falls upon the line of centres OO2 . With the centres O and O , in the ...
Página 19
... situate precisely in the same position with regard to the triangle abc that the required line edf must be relatively to the given and equal triangle ABC . EXAMPLES 1. If the two angles which one straight line I 19 ANHARMONIC PENCILS AND ...
... situate precisely in the same position with regard to the triangle abc that the required line edf must be relatively to the given and equal triangle ABC . EXAMPLES 1. If the two angles which one straight line I 19 ANHARMONIC PENCILS AND ...
Página 51
... situate in one plane envelop a conic . LEMMA IV . With the system of tangents shewn in Fig . 31 we have , from Lemma III . , or AF - AM BI - BQ whence that is , = AM AF BQ BI - MF ME AM BK ME = = = QI ΕΙ BQ BQ ' BK ME + EI ̄BQ + BK ' ME ...
... situate in one plane envelop a conic . LEMMA IV . With the system of tangents shewn in Fig . 31 we have , from Lemma III . , or AF - AM BI - BQ whence that is , = AM AF BQ BI - MF ME AM BK ME = = = QI ΕΙ BQ BQ ' BK ME + EI ̄BQ + BK ' ME ...
Página 58
... situate on the line RS , which bisects CF and is parallel to CP ; and if , in the initial position of the FR ET fork , we have TS ' = RS ST being parallel to CF , shew that the tangents or lines joining correlative points , such as FE ...
... situate on the line RS , which bisects CF and is parallel to CP ; and if , in the initial position of the FR ET fork , we have TS ' = RS ST being parallel to CF , shew that the tangents or lines joining correlative points , such as FE ...
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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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