Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 páginas |
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Página x
... foci and any point on the curve meets the tangent and normal in the minor axis If TP , TQ be tangents , △ STQ = HTP 5565 55 56 The foot of the focal perpendicular upon the tangent lies on the auxiliary circle 57 • SY.HZ CB2 = PG : Pg ...
... foci and any point on the curve meets the tangent and normal in the minor axis If TP , TQ be tangents , △ STQ = HTP 5565 55 56 The foot of the focal perpendicular upon the tangent lies on the auxiliary circle 57 • SY.HZ CB2 = PG : Pg ...
Página 42
... foci be greatest ? 37. From the focus S of a parabola , SK is drawn making a given angle with the tangent at P. Determine the locus of K. 38. If a parabola roll upon another equal parabola , the focus traces out the directrix . What ...
... foci be greatest ? 37. From the focus S of a parabola , SK is drawn making a given angle with the tangent at P. Determine the locus of K. 38. If a parabola roll upon another equal parabola , the focus traces out the directrix . What ...
Página 50
... Foci . Also C is the Centre , and A , A ' are the Vertices . Let BCB ' be the central chord perpendicular to AA ' . Then AA ' is the Major and BB ' the Minor Axis . AA ' is sometimes called the Transverse and BB ' the Conjugate axis ...
... Foci . Also C is the Centre , and A , A ' are the Vertices . Let BCB ' be the central chord perpendicular to AA ' . Then AA ' is the Major and BB ' the Minor Axis . AA ' is sometimes called the Transverse and BB ' the Conjugate axis ...
Página 52
... foci ; C the centre . From any point P on the curve draw PM perpendicular to the directrix MX , and let MS meet the minor axis in g . Draw PGg cutting the major axis in G. Then SG : SP = SA : AX , as 52 THE ELLIPSE .
... foci ; C the centre . From any point P on the curve draw PM perpendicular to the directrix MX , and let MS meet the minor axis in g . Draw PGg cutting the major axis in G. Then SG : SP = SA : AX , as 52 THE ELLIPSE .
Página 55
... foci and any point P on the ellipse passes also through the points in which the tangent and normal at P meet the minor axis . Describe the circle SPH , cutting the minor axis in g , t . Then the equal straight lines gS , gH cut off ...
... foci and any point P on the ellipse passes also through the points in which the tangent and normal at P meet the minor axis . Describe the circle SPH , cutting the minor axis in g , t . Then the equal straight lines gS , gH cut off ...
Otras ediciones - Ver todo
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Vista previa restringida - 2022 |
Términos y frases comunes
ABCD abscissa asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chords parallel cone conic Conic Sections conjugate diameters conjugate hyperbola conjugate points constant ratio corresponding CP² Crown 8vo Draw drawn parallel ellipse equally inclined fixed point fixed straight line focal chord foci focus harmonic Hence inscribed latus rectum Let the tangent locus major axis meet the asymptotes meet the axis meet the curve meet the directrix meet the minor middle point minor axis opposite sides ordinate parabola parallelogram pass pencil perpendicular plane PM perpendicular point of intersection point Q points of contact polar projection Prop prove quadrilateral rectangular hyperbola right angles semi-latus rectum similar triangles Similarly straight line drawn subtends touches vertex
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Página 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.