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 49
Página 4
... 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 with the ...
... 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 with the ...
Página 11
... roots be a ,, a , a , & c . Now , if we substitute any of these values ( a , ) for x in the original equations , we get two equations in y , which must have a common root ( since the result of elimination be- tween the equations is ...
... roots be a ,, a , a , & c . Now , if we substitute any of these values ( a , ) for x in the original equations , we get two equations in y , which must have a common root ( since the result of elimination be- tween the equations is ...
Página 21
... 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 angle ...
... 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 angle ...
Página 31
... root used in finding them . If we are concerned with a single area we look only to its absolute magnitude without regard to sign . But if , for example , we are comparing two triangles whose vertices xy , xy , are on opposite sides of ...
... root used in finding them . If we are concerned with a single area we look only to its absolute magnitude without regard to sign . But if , for example , we are comparing two triangles whose vertices xy , xy , are on opposite sides of ...
Página 67
... roots of this equation , then it is re- solvable into the factors b ( -a ) -¿ ) C - o ) & c . = 0 , and the original equation is therefore resolvable into the factors - ( x — ay ) ( x — by ) ( x − cy ) & c . = 0 . - It accordingly ...
... roots of this equation , then it is re- solvable into the factors b ( -a ) -¿ ) C - o ) & c . = 0 , and the original equation is therefore resolvable into the factors - ( x — ay ) ( x — by ) ( x − cy ) & c . = 0 . - It accordingly ...
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