Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ExamplesMacmillan, 1863 - 222 σελίδες |
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Σελίδα x
... lies on the auxiliary circle SY . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA • 353865 57 58 • 59 PF . PGCB2 CN.CT CA2 Tangents at right angles intersect ...
... lies on the auxiliary circle SY . HZ CB2 = • PG : PgCB2 : CA2 . • If the normal at P meet the minor axis in g , and gk be perpen- dicular to SP , then Pk = CA • 353865 57 58 • 59 PF . PGCB2 CN.CT CA2 Tangents at right angles intersect ...
Σελίδα xi
... lies on the circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g , and gk be perpen ... lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 • PF.CDCA ...
... lies on the circle upon the axis SY.HZ CB2 = 104 105 If the normal at P meet the minor axis in g , and gk be perpen ... lie on a circle 119 • The tangent , terminated by the asymptotes , is bisected at the point of contact 120 • PF.CDCA ...
Σελίδα xii
... lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC RATIO 178 CHAPTER XIV . POLES AND POLARS 193 CHAPTER XV . PROJECTION 202 APPENDIX . ERRATA . Page 25 , Figure , dele S. See p . 171 . 66 46 102 , After line 12 , insert ...
... lie on the same straight line 176 • CHAPTER XIII . ANHARMONIC RATIO 178 CHAPTER XIV . POLES AND POLARS 193 CHAPTER XV . PROJECTION 202 APPENDIX . ERRATA . Page 25 , Figure , dele S. See p . 171 . 66 46 102 , After line 12 , insert ...
Σελίδα 4
... lie to the right of A. Then SP , or NX , is greater than SN , and the con- struction is possible . Similarly , the cases of the ellipse and hyperbola may be discussed . 5. Again , let PM be the perpendicular on the direc- trix from any ...
... lie to the right of A. Then SP , or NX , is greater than SN , and the con- struction is possible . Similarly , the cases of the ellipse and hyperbola may be discussed . 5. Again , let PM be the perpendicular on the direc- trix from any ...
Σελίδα 5
... lie on the same side of the directrix . Hence the curve consists of one oval branch as in the figure . When the eccentricity is greater than unity , the straight line RS falls within the angle MSX , and P , Q lie on opposite sides of ...
... lie on the same side of the directrix . Hence the curve consists of one oval branch as in the figure . When the eccentricity is greater than unity , the straight line RS falls within the angle MSX , and P , Q lie on opposite sides of ...
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.