Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página xiii
... point of contact . 56 13 . Given three tangents and two points of contact 57 14. Application to Valve - Gear Design . 58 15. Pole and Polar 61 16 . Projective Properties of 63 17 . " " " " 18 . " " Perspective Relations of . Harmonic ...
... point of contact . 56 13 . Given three tangents and two points of contact 57 14. Application to Valve - Gear Design . 58 15. Pole and Polar 61 16 . Projective Properties of 63 17 . " " " " 18 . " " Perspective Relations of . Harmonic ...
Página xiv
... Points 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 ...
... Points 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 ...
Página 20
... points of contact cut at Q the 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 ...
... points of contact cut at Q the 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 ...
Página 42
... point all meet on one and the same straight line . Thus , the four points a , e , d , c and the tangent at c ( Fig ... contact on the tangent HI , and therefore a fifth point on the curve . For , by the auxiliary circle , but Ai2 = ic ...
... point all meet on one and the same straight line . Thus , the four points a , e , d , c and the tangent at c ( Fig ... contact on the tangent HI , and therefore a fifth point on the curve . For , by the auxiliary circle , but Ai2 = ic ...
Página 46
... points of contact . P k 7g d h Fig . 28 . PROOF . - Transform the ellipse into an auxiliary circle , as shewn on Fig . 27 , by projecting D a point on the ellipse upon the auxiliary circle in d , K a point on the tangent to the ellipse ...
... points of contact . P k 7g d h Fig . 28 . PROOF . - Transform the ellipse into an auxiliary circle , as shewn on Fig . 27 , by projecting D a point on the ellipse upon the auxiliary circle in d , K a point on the tangent to the ellipse ...
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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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