A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
Dentro del libro
Resultados 1-5 de 55
Página ix
... double contact 215 Osculating Circle defined 216 Expressions and construction for Radius of Curvature ( see also pp . 223 , 231 , 356 ) 217 • • If a Circle intersect a Conic , chords of intersection are equally inclined to the Axes ...
... double contact 215 Osculating Circle defined 216 Expressions and construction for Radius of Curvature ( see also pp . 223 , 231 , 356 ) 217 • • If a Circle intersect a Conic , chords of intersection are equally inclined to the Axes ...
Página x
... double contact with a third Diagonals of inscribed and circumscribed Quadrilateral pass through the same Point 231 3 231 • · If three Conics have each double contact with a fourth , their Chords of Intersection intersect in threes ...
... double contact with a third Diagonals of inscribed and circumscribed Quadrilateral pass through the same Point 231 3 231 • · If three Conics have each double contact with a fourth , their Chords of Intersection intersect in threes ...
Página xi
... double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four Lines . 251 .. Equation of a Conic having double contact with two given Conics Locus of a Point whence sum or difference ...
... double contact with a third , its Chord of contact passes through one or two fixed Points 251 · • 251 touching four Lines . 251 .. Equation of a Conic having double contact with two given Conics Locus of a Point whence sum or difference ...
Página xii
... double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 273 274 Relation ...
... double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal Circles have same Parameter 273 274 Relation ...
Página xiv
... double contact Condition that they should touch each other 342 • 343 To draw a Conic having double contact with a given one , and touching three other such Conics 343 Four Conics having double contact with S , and passing through three ...
... double contact Condition that they should touch each other 342 • 343 To draw a Conic having double contact with a given one , and touching three other such Conics 343 Four Conics having double contact with S , and passing through three ...
Contenido
3 | |
9 | |
22 | |
23 | |
25 | |
34 | |
45 | |
53 | |
211 | |
215 | |
219 | |
221 | |
233 | |
237 | |
239 | |
248 | |
60 | |
62 | |
67 | |
75 | |
84 | |
88 | |
90 | |
98 | |
99 | |
103 | |
105 | |
106 | |
113 | |
119 | |
125 | |
131 | |
144 | |
146 | |
160 | |
168 | |
175 | |
178 | |
181 | |
188 | |
189 | |
198 | |
204 | |
205 | |
210 | |
251 | |
252 | |
257 | |
261 | |
263 | |
269 | |
272 | |
277 | |
283 | |
288 | |
289 | |
318 | |
319 | |
324 | |
327 | |
333 | |
339 | |
345 | |
346 | |
350 | |
357 | |
363 | |
368 | |
371 | |
372 | |
373 | |
377 | |
Otras ediciones - Ver todas
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices