The Geometry of Conics, Part 1 |
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Page v
... student consistently to first principles , thus rendering Geometry at once more thorough as a means of intellectual training , and more effective as an introduction to the powerful modern methods of Analysis . Simplicity is of course ...
... student consistently to first principles , thus rendering Geometry at once more thorough as a means of intellectual training , and more effective as an introduction to the powerful modern methods of Analysis . Simplicity is of course ...
Page vi
... student's conceptions , and perpetuating his illusion that the Hyperbola is a discontinuous curve . For the proof of the chord - property that PN2 varies as AN . NA ' my best thanks are due to Mr W. Allen Whitworth . The same proof was ...
... student's conceptions , and perpetuating his illusion that the Hyperbola is a discontinuous curve . For the proof of the chord - property that PN2 varies as AN . NA ' my best thanks are due to Mr W. Allen Whitworth . The same proof was ...
Page 5
... student should familiarize himself with Prop . II . It may be well to state it in converse forms thus : ( i ) If QQ ' be any chord , and if the perpendicular upon it from the focus meet the directrix in 0 , then if OV be drawn to the ...
... student should familiarize himself with Prop . II . It may be well to state it in converse forms thus : ( i ) If QQ ' be any chord , and if the perpendicular upon it from the focus meet the directrix in 0 , then if OV be drawn to the ...
Page 85
... student should make a practice of considering in every case , including that of the parabola , whether a theorem is applicable mutatis mutandis to more than one of the three species of Conics . EXAMPLES . 194. The centre of an ...
... student should make a practice of considering in every case , including that of the parabola , whether a theorem is applicable mutatis mutandis to more than one of the three species of Conics . EXAMPLES . 194. The centre of an ...
Page 1
... Students in the Universities , Schools , and Candidates for the Public Examinations . Uniformly printed in Foolscap 8vo . New Volume Now Ready . NEWTON'S PRINCIPIA : first three Sections with Ap- pendix , and the Ninth and Eleventh ...
... Students in the Universities , Schools , and Candidates for the Public Examinations . Uniformly printed in Foolscap 8vo . New Volume Now Ready . NEWTON'S PRINCIPIA : first three Sections with Ap- pendix , and the Ninth and Eleventh ...
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Common terms and phrases
abscissa auxiliary circle bisects the angle Bishop of Carlisle CA² Cambridge CB² CD² centre CN² concyclic Conic Sections conjugate diameters conjugate radii constant ratio CP² CS² CV² draw drawn ellipse equally inclined Fellow of Trinity fixed point focal chord focal perpendicular focal radii focus Geometry Hence intersect J. W. DONALDSON late Fellow latus rectum locus meet the asymptotes meet the curve meet the directrix meets the axis middle point minor axis normal parabola parallel chords parallelogram Pembroke College PN² point Q principal ordinate PROP QV² radius rectangular hyperbola right angles right-angled triangles Second Edition Shew shewn sides SP² St John's College straight line joining subtends a right supplementary angles tangent Third Edition Treatise Trinity College vertex
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