Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα x
... normal in the minor axis If TP , TQ be tangents , ≤ STQ = HTP The foot of the focal perpendicular upon the tangent lies on the auxiliary circle SY . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet the minor axis in g , and gk ...
... normal in the minor axis If TP , TQ be tangents , ≤ STQ = HTP The foot of the focal perpendicular upon the tangent lies on the auxiliary circle SY . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet the minor axis in g , and gk ...
Σελίδα xi
... normal at P meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA 106 · PF . PGCB2 107 CN.CT CA2 - 108 PN2 : AN . NA ' = CB2 : CA2 109 Tangents at right angles intersect on a fixed circle 110 CHAPTER VII . THE ...
... normal at P meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA 106 · PF . PGCB2 107 CN.CT CA2 - 108 PN2 : AN . NA ' = CB2 : CA2 109 Tangents at right angles intersect on a fixed circle 110 CHAPTER VII . THE ...
Σελίδα 2
... Normal at any point of the curve is the straight line drawn through that point at right angles to the tangent . The ... normal and ordinate at any point on the curve is called the Sub- normal . CHAPTER I. TRACING THE CURVE . 1. When the ...
... Normal at any point of the curve is the straight line drawn through that point at right angles to the tangent . The ... normal and ordinate at any point on the curve is called the Sub- normal . CHAPTER I. TRACING THE CURVE . 1. When the ...
Σελίδα 12
... normal at P , and PM perpendicular to the directrix . Let the tangent at P meet the directrix in R. Then the circle described on PR as diameter passes through S , since PSR is a right angle ; and also through M , where PM is the ...
... normal at P , and PM perpendicular to the directrix . Let the tangent at P meet the directrix in R. Then the circle described on PR as diameter passes through S , since PSR is a right angle ; and also through M , where PM is the ...
Σελίδα 13
... normals at P , Q meet the axis in the points G , F , P E K M S F G those points to PQ . and let K , M be the feet of the perpendiculars drawn from Then FM is parallel to GK . Therefore SK : SGSM : SF . Also SG : SP = SA : AX [ Euc . VI ...
... normals at P , Q meet the axis in the points G , F , P E K M S F G those points to PQ . and let K , M be the feet of the perpendiculars drawn from Then FM is parallel to GK . Therefore SK : SGSM : SF . Also SG : SP = SA : AX [ Euc . VI ...
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.