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 70
Página xiv
... 348 Condition that λU + μV + vW can in any case be a perfect Square Three Conics derived from a single Cubic method of forming its Equation . : 349 • 319 CHAPTER XIX . THE METHOD OF INFINITESIMALS . Direction of xiv CONTENTS .
... 348 Condition that λU + μV + vW can in any case be a perfect Square Three Conics derived from a single Cubic method of forming its Equation . : 349 • 319 CHAPTER XIX . THE METHOD OF INFINITESIMALS . Direction of xiv CONTENTS .
Página 3
... - x " ) cosw . - Similarly , the square of the distance of a point , x'y ' , from the origin = " + y2 + 2x'y ' cosw . In applying these formulæ , attention must be paid to THE POINT . 3 Distinction of Signs Distance between two Points.
... - x " ) cosw . - Similarly , the square of the distance of a point , x'y ' , from the origin = " + y2 + 2x'y ' cosw . In applying these formulæ , attention must be paid to THE POINT . 3 Distinction of Signs Distance between two Points.
Página 4
... square root , is necessarily susceptible of a double sign . If the distance PQ , measured from P to Q , be con- sidered positive , then the distance QP , measured from Q to P , is considered negative . If indeed we are only concerned ...
... square root , is necessarily susceptible of a double sign . If the distance PQ , measured from P to Q , be con- sidered positive , then the distance QP , measured from Q to P , is considered negative . If indeed we are only concerned ...
Página 9
... square of the distance of a point from the origin . Verify this by squaring and adding the expressions for X and Y in Art . 9 . Ex . 6. Verify in like manner in general that x2 + y2 + 2xy cosxOy = X2 + Y2 + 2XY cos XOY . If we write X ...
... square of the distance of a point from the origin . Verify this by squaring and adding the expressions for X and Y in Art . 9 . Ex . 6. Verify in like manner in general that x2 + y2 + 2xy cosxOy = X2 + Y2 + 2XY cos XOY . If we write X ...
Página 21
... square root in the denominators is , of course , susceptible of a double sign ; since the equation may be reduced to either of the forms - x cosa + y cosẞ− p = 0 , x cos ( a + 180 ° ) + y cos ( B + 180 ° ) + p = 0 . 25. To find the ...
... square root in the denominators is , of course , susceptible of a double sign ; since the equation may be reduced to either of the forms - x cosa + y cosẞ− p = 0 , x cos ( a + 180 ° ) + y cos ( B + 180 ° ) + p = 0 . 25. To find the ...
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