Geometry of Position |
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Page xiv
... Conjugate Rays Focal Propositions on- 99 The Segment between Point of Contact and Directrix • • Line joining Focus to Intersection of Tangents Constancy of Sum or Difference of Radii Vectors Perpendiculars let fall from Foci on Tangents ...
... Conjugate Rays Focal Propositions on- 99 The Segment between Point of Contact and Directrix • • Line joining Focus to Intersection of Tangents Constancy of Sum or Difference of Radii Vectors Perpendiculars let fall from Foci on Tangents ...
Page 25
Robert Hudson Graham. will be the ordinate of P parallel to the axis conjugate of this diameter . Produce PO to K , making OK = OP ; then K will be a point on the ellipse . Hence ( Drew , ch . ii . , C ... Τ ' T IR D M D 1x IN Fig . 14 ...
Robert Hudson Graham. will be the ordinate of P parallel to the axis conjugate of this diameter . Produce PO to K , making OK = OP ; then K will be a point on the ellipse . Hence ( Drew , ch . ii . , C ... Τ ' T IR D M D 1x IN Fig . 14 ...
Page 38
... conjugate of the diameter parallel to the chord BF . By Drew ( ch . ii . , Prop . XXI . ) , we have GF2 = CD2 2CD2 Parameter = AG . GH CH2 38 CHAP . GEOMETRY OF POSITION Given five points, to construct the Conic Property of the ...
... conjugate of the diameter parallel to the chord BF . By Drew ( ch . ii . , Prop . XXI . ) , we have GF2 = CD2 2CD2 Parameter = AG . GH CH2 38 CHAP . GEOMETRY OF POSITION Given five points, to construct the Conic Property of the ...
Page 64
... conjugate when one of them is situate on the polar of the other with respect to a conic . Similarly two lines are termed reciprocal or conjugate when one passes through the pole of the other . M P B Fig . 38 . If A 17. If a plane ...
... conjugate when one of them is situate on the polar of the other with respect to a conic . Similarly two lines are termed reciprocal or conjugate when one passes through the pole of the other . M P B Fig . 38 . If A 17. If a plane ...
Page 67
... conjugate of c of the second point of the second pair and the conjugate a ' of the first point of the first pair . To form the right - hand member , interchange the points composing the pairs of the left ; thus b'a . c'b . a'c , and ...
... conjugate of c of the second point of the second pair and the conjugate a ' of the first point of the first pair . To form the right - hand member , interchange the points composing the pairs of the left ; thus b'a . c'b . a'c , and ...
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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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