Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página 20
... diameter AOB which passes through P , shew that the angle PCQ is bisected by CA. 3. If in Ex . 2 any line be drawn through P , cutting the circle at E , G and CD at F ; shew that PG is harmonically divided and the angles PEQ , PGQ ...
... diameter AOB which passes through P , shew that the angle PCQ is bisected by CA. 3. If in Ex . 2 any line be drawn through P , cutting the circle at E , G and CD at F ; shew that PG is harmonically divided and the angles PEQ , PGQ ...
Página 22
... diameter ac ; the arc subtending the angle bSd at any point S on the circumference will be bisected either by the point a or c . 17. Opposed projective systems have always two common or double elements , by which any other pair of ...
... diameter ac ; the arc subtending the angle bSd at any point S on the circumference will be bisected either by the point a or c . 17. Opposed projective systems have always two common or double elements , by which any other pair of ...
Página 24
... 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.
... 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.
Página 25
... 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 . Prop . XXIX . ) if x be the centre of the ellipse and xz be parallel to PO , we have ...
... 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 . Prop . XXIX . ) if x be the centre of the ellipse and xz be parallel to PO , we have ...
Página 38
... diameter of the curve , whose ordinates are FG and BG . Let AG meet the conic in H , determined by the method of the present article ; then AH is the conjugate of the diameter parallel to the chord BF . By Drew ( ch . ii . , Prop . XXI ...
... diameter of the curve , whose ordinates are FG and BG . Let AG meet the conic in H , determined by the method of the present article ; then AH is the conjugate of the diameter parallel to the chord BF . By Drew ( ch . ii . , Prop . XXI ...
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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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