Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα x
... Ordinates of an ellipse and its auxiliary circle are as the semi - axes . 64 PN : AN.NA ' = CB2 : CA2 65 CHAPTER V. THE ELLIPSE CONTINUED Conjugate Diameters . PG : CDCB : CA PG.Pg = CD2 PF.CD = CA.CB SP . HPCD2 75 75 77 78 • 78 79 CP + ...
... Ordinates of an ellipse and its auxiliary circle are as the semi - axes . 64 PN : AN.NA ' = CB2 : CA2 65 CHAPTER V. THE ELLIPSE CONTINUED Conjugate Diameters . PG : CDCB : CA PG.Pg = CD2 PF.CD = CA.CB SP . HPCD2 75 75 77 78 • 78 79 CP + ...
Σελίδα 2
... Ordinate of the point . The portion of the axis intercepted between the tangent and ordinate at any point on the curve is called the Sub- tangent . The portion of the axis intercepted between the normal and ordinate at any point on the ...
... Ordinate of the point . The portion of the axis intercepted between the tangent and ordinate at any point on the curve is called the Sub- tangent . The portion of the axis intercepted between the normal and ordinate at any point on the ...
Σελίδα 13
... ordinate through S. Therefore PK = SE = latus rectum . PROP . XI . If PQ be any focal chord , then 2SP.SQ = SE.PQ , SE being half the latus rectum . Let the normals at P , Q meet the axis in the points G , F , P E K M S F G those points ...
... ordinate through S. Therefore PK = SE = latus rectum . PROP . XI . If PQ be any focal chord , then 2SP.SQ = SE.PQ , SE being half the latus rectum . Let the normals at P , Q meet the axis in the points G , F , P E K M S F G those points ...
Σελίδα 19
... ordinate NP meets a conic in P , and the tan- gent at an extremity of the latus rectum in Q. Prove that SP = QN . 3. Given the focus of a conic , the length of the latus rectum , a tangent , and its point of contact ; show how to ...
... ordinate NP meets a conic in P , and the tan- gent at an extremity of the latus rectum in Q. Prove that SP = QN . 3. Given the focus of a conic , the length of the latus rectum , a tangent , and its point of contact ; show how to ...
Σελίδα 20
... ordinates PM , QN . If KN produced meet PM produced in R , prove that PR = PM . 5. Straight lines drawn through the extremities of a focal chord pass through the vertex and intersect the directrix in M , N. Prove that MN subtends a ...
... ordinates PM , QN . If KN produced meet PM produced in R , prove that PR = PM . 5. Straight lines drawn through the extremities of a focal chord pass through the vertex and intersect the directrix in M , N. Prove that MN subtends a ...
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.