A System of Algebraic Geometry, Volume 1

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G. and W.B. Whittaker, 1823 - Geometry, Algebraic
 

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Page 345 - G, the distance of the centre of gyration from the axis of motion, t, the time the force acts, v the velocity acquired by the revolving body in that time.
Page 110 - ... made to move always parallel to itself with one end touching a circle, the other end will describe a circle equal in every respect to the first.
Page xxx - And therefore we take the proper question to be, not who invented this or that method, but who was the first inventor of the method. And we believe that those who have reputed Mr.
Page 121 - Given the base and the difference of the sides of a triangle, to find the locus of the centre of the circle touching one side, and the prolongation of the base and of the other side. Let P be the centre of one of the circles, and p, p', p" the several points of contact ; then Ap...
Page 394 - The two problems of the duplication of the cube and the trisection of an angle...
Page xxix - That Mr. Leibnitz was in London in the beginning of the year 1673, and went thence in or about March to Paris, where he kept a correspondence with Mr. Collins by means of Mr. Oldenburg, till about September, 1676, and then returned by London and Amsterdam to Hanover. And that Mr. Collins was very free in communicating to able mathematicians what he had received...
Page 361 - Let it be required to find the locus of the intersection of tangents to an ellipse which cut at right angles. The inclinations of the two tangents will be 8 and 90° + 0; and we shall have, for their central perpendiculars, p" = aWfl + ilsin'O, p'2 = a!sin30 + 42cos20.
Page 402 - Quoniam enim semper sibi similem &_ eandem Spiram gignit, utcunque volvatur, evolvatur, radiet; hinc poterit esse vel sobolis parentibus per omnia similis Emblema; Simillima Filia Matri. Vel, [si rem aeternae Veritatis Fidei mysteriis accomodare non est prohibitum] ipsius aeternae generationis Filii...
Page 113 - Given the base and the sum of the sides of a triangle to find the locus of the centre of the circle touching the base, and the prolongation of the other two sides.
Page xl - Lloyd, singly and unassisted, conceived and executed the most important and rapid revolution ever effected in the details of a great public institution.

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