Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página vi
... Wherefore , before writing this work , I have taken the precaution to read Favaro , * whom , from the varied extent of his reading , I took for the best guide to the history of the subject . In this anticipation I was certainly not ...
... Wherefore , before writing this work , I have taken the precaution to read Favaro , * whom , from the varied extent of his reading , I took for the best guide to the history of the subject . In this anticipation I was certainly not ...
Página 4
... are cor- relative ; wherefore the complete quad- rilaterals abcd and a'b'c'd ' are correla- tive . 2 . Produce the sides kl and mn of the quadrangle klmn ( Fig . 3 ) to meet. 4 CHAP . GEOMETRY OF POSITION The Anharmonic Constant.
... are cor- relative ; wherefore the complete quad- rilaterals abcd and a'b'c'd ' are correla- tive . 2 . Produce the sides kl and mn of the quadrangle klmn ( Fig . 3 ) to meet. 4 CHAP . GEOMETRY OF POSITION The Anharmonic Constant.
Página 6
... wherefore de da ef ao bc ba ( 1 ) and ce a0 and dividing equation ( 1 ) by ( 2 ) de da ; be ab ( 2 ) , or the segment db is divided internally at c and externally at a in the same ratio by the harmonic pencil O ) fce∞ . G Oi E C Fig ...
... wherefore de da ef ao bc ba ( 1 ) and ce a0 and dividing equation ( 1 ) by ( 2 ) de da ; be ab ( 2 ) , or the segment db is divided internally at c and externally at a in the same ratio by the harmonic pencil O ) fce∞ . G Oi E C Fig ...
Página 12
... wherefore , by substitution , sin ( ab ) sin ( cb ) AB CB : :: sin ( ad ) sin ( cd ) AD CD Now two pencils are termed anharmonic when the seg- ments , made by the pencils upon two transversals , form equal and similar ratios . Thus ...
... wherefore , by substitution , sin ( ab ) sin ( cb ) AB CB : :: sin ( ad ) sin ( cd ) AD CD Now two pencils are termed anharmonic when the seg- ments , made by the pencils upon two transversals , form equal and similar ratios . Thus ...
Página 15
... Wherefore , if in the similar case ( Fig . 8 ) we set off from points a and c ' , correlative of 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 ...
... Wherefore , if in the similar case ( Fig . 8 ) we set off from points a and c ' , correlative of 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 ...
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Términos y frases comunes
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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