Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 48
... vertices P , R upon the opposite side . 96. Apply properties of the parabola to prove that- ( i ) In any triangle , the feet of the three perpendiculars from any point of the circumscribing circle to the sides of the triangle , lie on ...
... vertices P , R upon the opposite side . 96. Apply properties of the parabola to prove that- ( i ) In any triangle , the feet of the three perpendiculars from any point of the circumscribing circle to the sides of the triangle , lie on ...
Σελίδα 50
... 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 . Also , when THE axis is spoken of , AA ' is always ...
... 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 . Also , when THE axis is spoken of , AA ' is always ...
Σελίδα 52
... vertices ; S , H the 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 ...
... vertices ; S , H the 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 ...
Σελίδα 90
... vertices . 5. The sum of the squares of normals at the extremities of conjugate diameters is constant . 6. The tangent and normal at P and a perpendicular from that point meet the minor axis in t , g , n . Prove that Pn.gt = CD2 . 7 ...
... vertices . 5. The sum of the squares of normals at the extremities of conjugate diameters is constant . 6. The tangent and normal at P and a perpendicular from that point meet the minor axis in t , g , n . Prove that Pn.gt = CD2 . 7 ...
Σελίδα 91
... vertices perpen- dicular to the tangent at any point P , the locus of the point of intersection of PS , QA will be a circle . 13. If the tangent and normal at P meet the axis in T , G , and TQ touch the circle on AA ' in Q , then TQ ...
... vertices perpen- dicular to the tangent at any point P , the locus of the point of intersection of PS , QA will be a circle . 13. If the tangent and normal at P meet the axis in T , G , and TQ touch the circle on AA ' in Q , then TQ ...
Άλλες εκδόσεις - Προβολή όλων
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Geometrical Conics: Including Anharmonic Ratio and Projection, with numerous ... Charles Taylor Περιορισμένη προεπισκόπηση - 2022 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscissa Alternando asymptotes auxiliary circle axis in G bisects the angle CA² Cambridge CB² CD² centre chord of contact chord of curvature chord PQ chords parallel cone Conic Sections conjugate diameters conjugate hyperbola 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 Lemma Let the tangent locus major axis meet the axis meet the directrix meet the minor meets the curve middle point minor axis opposite sides ordinate parabola parallel chords parallelogram pass pencil perpendicular plane point of intersection point Q points of contact polar produced projection Prop prove quadrilateral rectangular hyperbola right angles semi-diameter semi-latus rectum similar triangles Similarly straight line drawn touches vertex
Δημοφιλή αποσπάσματα
Σελίδα 226 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.