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 86
Página v
... CIRCLE . Equation of Circle 75 Conditions that general Equation may represent a Circle Co - ordinates of Centre and Radius Condition that two Circles may be concentric that a Curve should pass through the origin Co - ordinates of Points ...
... CIRCLE . Equation of Circle 75 Conditions that general Equation may represent a Circle Co - ordinates of Centre and Radius Condition that two Circles may be concentric that a Curve should pass through the origin Co - ordinates of Points ...
Página vi
... Circles cutting two Circles at right Angles , or at constant Angles 102 Common Tangent to two Circles 103 Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle cutting three given Circles at equal Angles 108 · To ...
... Circles cutting two Circles at right Angles , or at constant Angles 102 Common Tangent to two Circles 103 Centres of Similitude 105 • Axis of Similitude 108 Locus of centre of Circle cutting three given Circles at equal Angles 108 · To ...
Página ix
... Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of ...
... Circle circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of ...
Página xiv
... circle orthogonally 329 Centre of Circle inscribed in self - conjugate Triangle of equilateral Hyperbola lies on Curve 329 Locus of intersection of Perpendiculars of Triangle inscribed in one Conic and circumscribed about another 329 ...
... circle orthogonally 329 Centre of Circle inscribed in self - conjugate Triangle of equilateral Hyperbola lies on Curve 329 Locus of intersection of Perpendiculars of Triangle inscribed in one Conic and circumscribed about another 329 ...
Página 63
... circle 1 , 1 , 1 ; of centre of circumscribing circle cosA , cos B , cos C , & c . Ex . 1. Find the equation of the line joining intersections of perpendiculars , and of bisectors of sides ( see Art . 61 , Ex . 5 ) . Ans . a sin A cos A ...
... circle 1 , 1 , 1 ; of centre of circumscribing circle cosA , cos B , cos C , & c . Ex . 1. Find the equation of the line joining intersections of perpendiculars , and of bisectors of sides ( see Art . 61 , Ex . 5 ) . Ans . a sin A cos A ...
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