Geometry of Position |
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Page xiii
... Constant 5. Properties of the Triangle 6. Problems in Position EXAMPLES CHAPTER II . - PROJECTIVE CONICS § 7. Given five points , to construct the Conic . 8. Property of the Inscribed Quadrangle To describe the Conic- Given four points ...
... Constant 5. Properties of the Triangle 6. Problems in Position EXAMPLES CHAPTER II . - PROJECTIVE CONICS § 7. Given five points , to construct the Conic . 8. Property of the Inscribed Quadrangle To describe the Conic- Given four points ...
Page xiv
... Constant Angle at Focus • PAGE 73 74 75 77 79 , 80 70x88 77 78 78 80 81 37. To determine the Double Points in Conic Series and Superposed Ranges 82 38. Properties of Foci . 84 39. Given the focus , major axis , and two points or tan ...
... Constant Angle at Focus • PAGE 73 74 75 77 79 , 80 70x88 77 78 78 80 81 37. To determine the Double Points in Conic Series and Superposed Ranges 82 38. Properties of Foci . 84 39. Given the focus , major axis , and two points or tan ...
Page 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.
Page 14
... constant and By the definition of an anharmonic ratio equal to ad . d'c ' . we have ab : bc a'b ' b'c ' :: : ad de a'd ' d'c ' ( 1 ) But bc bd + dc bd - +1 dc de de = unity , since dc = ∞ . Similarly b'a ' d'a ' unity ; therefore from ...
... constant and By the definition of an anharmonic ratio equal to ad . d'c ' . we have ab : bc a'b ' b'c ' :: : ad de a'd ' d'c ' ( 1 ) But bc bd + dc bd - +1 dc de de = unity , since dc = ∞ . Similarly b'a ' d'a ' unity ; therefore from ...
Page 24
... constant . T , R and Q respectively , the ratio S .. PR . PQ PS . PT k --------- K d br Adr D B SI Fig . 13 . CASE I. For , first , let PR and PQ be parallel to the side AC , PS and PT parallel to the adjacent side AB , the opposite ...
... constant . T , R and Q respectively , the ratio S .. PR . PQ PS . PT k --------- K d br Adr D B SI Fig . 13 . CASE I. For , first , let PR and PQ be parallel to the side AC , PS and PT parallel to the adjacent side AB , the opposite ...
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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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