The Quarterly Journal of Pure and Applied Mathematics, Volume 5James Joseph Sylvester, James Whitbread Lee Glaisher J.W. Parker, 1862 - Mathematics |
Contents
| 1 | |
| 18 | |
| 29 | |
| 35 | |
| 54 | |
| 76 | |
| 86 | |
| 109 | |
| 255 | |
| 260 | |
| 269 | |
| 275 | |
| 285 | |
| 286 | |
| 291 | |
| 305 | |
| 127 | |
| 144 | |
| 152 | |
| 167 | |
| 177 | |
| 183 | |
| 209 | |
| 222 | |
| 233 | |
| 248 | |
| 306 | |
| 312 | |
| 318 | |
| 325 | |
| 335 | |
| 360 | |
| 367 | |
| 373 | |
| 381 | |
Other editions - View all
Common terms and phrases
a₁ ab² abelian ac² algebraic angles anharmonic ratio axes B₁ bc² biquadratic C₁ ca² centre circumscribed circumscribed circle coefficients conic conic section conjugate line constant coordinates corresponding cose covariant cubic curve deduced degree denote determine differential ellipsoid equal expression factor foci formula geometrical given Hence inscribed circle Intrinsic Equation Lemma line of curvature locus obtained P₁ parallel particular integrals perpendicular point of intersection polar proved quadratic quantities quintic radical axis radius rational function reciprocal representative notation respect roots shewn sides solution suppose surd tangent planes trilinear coordinates Trinity College V₁ values variable WILLIAM WALTON x₁ Y₁
Popular passages
Page 267 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity.
Page 16 - On the Argument of Abel, respecting the Impossibility of expressing a Root of any General Equation above the Fourth Degree by any finite Combination of Radicals and Rational Functions".
Page 117 - ... in all directions. For those having lower degrees of symmetry, the following proposition is true. THEOREM I. In an elastic substance which is homogeneous and symmetrical with respect to molecular action, there are three directions...
Page 369 - The locus of the foot of the perpendicular from the focus on a moving tangent is the circle on the major axis as diameter. 3. The locus of the point of intersection of perpendicular tangents is a circle with radius Va>
Page 381 - June). [Note on the value of certain determinants, the terms of which are the squared distances of points in a plane or in space.
Page 275 - THE foci of a conic are the points of intersection of the tangents through the circular points at infinity; the pair of tangents through each of the circular points at infinity is a conic through the four foci ; and we have thus two conies...
Page 269 - The circle through the middle points of the sides of a triangle passes...
Page 279 - B is the locus of a point such that the feet of the perpendiculars let fall from it on the four tangents lie in a circle. And similarly for the equations A=C, B = C. If we multiply the six equations by 1, 1, 1, 2, 2, 2 and add, we obtain the identical equation 0 = 0; if we multiply them by a, b, c, 2/, 2g...
Page 375 - Find an expression for the area of a triangle in terms of the coordinates of its angular points.
Page 125 - Y be any two circle, and if we reciprocate any figure first with respect to X, and then with respect...