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Page xiv
... axis , and two points or tan- gents , to describe the Conic 84 40. Given the focus , a tangent , and point , to describe the Parabola 85 To describe the Conic- 41 . Given the ellipticity , two points , and focus 42 . 22 29 tangents 99 ...
... axis , and two points or tan- gents , to describe the Conic 84 40. Given the focus , a tangent , and point , to describe the Parabola 85 To describe the Conic- 41 . Given the ellipticity , two points , and focus 42 . 22 29 tangents 99 ...
Page 24
... sides AC and BD being parallel to each other . Then the line bisecting the sides AC and BD will be a diameter of the ellipse which will bisect RQ in O , and PO will be the ordinate of P parallel to the axis. 24 CHAP . GEOMETRY OF POSITION.
... sides AC and BD being parallel to each other . Then the line bisecting the sides AC and BD will be a diameter of the ellipse which will bisect RQ in O , and PO will be the ordinate of P parallel to the axis. 24 CHAP . GEOMETRY OF POSITION.
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 43
... dd bob 9og ' the line traversing d and b passes also through g and h , and the lines BD and bd meet in a point z on the axis major . Now Ah2 n2AH = hd.hb ( 2 ) . Let then so that , by ( 2 ) and. II 43 PROJECTIVE CONICS.
... dd bob 9og ' the line traversing d and b passes also through g and h , and the lines BD and bd meet in a point z on the axis major . Now Ah2 n2AH = hd.hb ( 2 ) . Let then so that , by ( 2 ) and. II 43 PROJECTIVE CONICS.
Page 47
... axis , and kd kb hb hd kr hr = = = = KD KB HB ̄HD ̄KR ̄HR = m ; therefore , upon substituting capital for small letters , we obtain KD . KB KR2 = HB . HD HR2 * A similar proof holds for the division of IL externally in S. COR . If the ...
... axis , and kd kb hb hd kr hr = = = = KD KB HB ̄HD ̄KR ̄HR = m ; therefore , upon substituting capital for small letters , we obtain KD . KB KR2 = HB . HD HR2 * A similar proof holds for the division of IL externally in S. COR . If the ...
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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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