Geometrical conic sections |
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Page iii
... Hyperbola . This Method is calculated to produce a material simplification in the treatment of those curves and to ... Hyperbolas : and in the second place , it naturally divides the properties that may be proved by projection from those ...
... Hyperbola . This Method is calculated to produce a material simplification in the treatment of those curves and to ... Hyperbolas : and in the second place , it naturally divides the properties that may be proved by projection from those ...
Page vi
... HYPERBOLA . 1. Definition 2. Projection of the rectangular hyperbola 3. Magnitude of the axes · Properties of the rectangular hyperbola : - 4. Asymptotes . • 42 2835 43 46 47 48 · 51 52 5. Intercepts between asymptotes and curve equal ...
... HYPERBOLA . 1. Definition 2. Projection of the rectangular hyperbola 3. Magnitude of the axes · Properties of the rectangular hyperbola : - 4. Asymptotes . • 42 2835 43 46 47 48 · 51 52 5. Intercepts between asymptotes and curve equal ...
Page vii
... hyperbola 14. Supplemental Chords 15 , 16. Ratio of rectangles on the segments of intersecting chord 17. NG : NC ... HYPERBOLA . ( See contents of Chapter IV . ) CHAPTER VII . ON THE PARABOLA . 6. QR2 - 4AS . PV 1. Definition . 2 ...
... hyperbola 14. Supplemental Chords 15 , 16. Ratio of rectangles on the segments of intersecting chord 17. NG : NC ... HYPERBOLA . ( See contents of Chapter IV . ) CHAPTER VII . ON THE PARABOLA . 6. QR2 - 4AS . PV 1. Definition . 2 ...
Page 6
... hyperbola helps us to ascertain the properties of the hyperbola of unequal axes . The preceding propositions serve to connect the diameters and other lines , and the areas , of the known curve with those of its projection . EXAMPLES . 1 ...
... hyperbola helps us to ascertain the properties of the hyperbola of unequal axes . The preceding propositions serve to connect the diameters and other lines , and the areas , of the known curve with those of its projection . EXAMPLES . 1 ...
Page 41
... intercepted between the vertex and a line through C at right angles to the axis of the cone ; shew that AD = CS . 52. To cut an ellipse of given axes from a given cone . CHAPTER V. On the Hyperbola . 1. DEFINITION . Let EXAMPLES . 41.
... intercepted between the vertex and a line through C at right angles to the axis of the cone ; shew that AD = CS . 52. To cut an ellipse of given axes from a given cone . CHAPTER V. On the Hyperbola . 1. DEFINITION . Let EXAMPLES . 41.
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AC² Algebra ARITHMETIC asymptotes auxiliary circle axis major BC² BEGINNERS bisects the angle Cambridge CD² centre Chap Christ's College cloth Conic Sections conjugate diameters conjugate hyperbola CP² Crown 8vo cutting plane directrix draw drawn parallel ELEMENTARY TREATISE ellipse English equal angles equally inclined Examination Papers Extra fcap extremities fcap focal chord foci focus GEOMETRY given Grammar Greek Hence intersect John's College Latin latus rectum line joining manual Mathematical meet the curve method Metric System middle point MIXED MATHEMATICS parabola parallelogram perpendicular point of contact produced meet Professor projection proposition prove quadrilateral rectangle rectangular hyperbola render revised right angles Schools Second Edition semi-diameters shew sphere straight line subtend tangent touch transverse axis triangles Trigonometry University of Cambridge vertex
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