A System of Algebraic Geometry, المجلد 1G. and W.B. Whittaker, 1823 |
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عبارات ومصطلحات مألوفة
algebraic curve Algebraic Geometry asymptote axes of co-ordinates axis of x bisected centre of gravity co-efficients conjugate diameters counter-diameter cx² cycloid Descartes described determine differentiating directrix distance dx² eliminated ellipse or hyperbola epitrochoid equa equal expressed find the curve find the equation find the locus focus formula geometrical given angle given in position given point given ratio Given the base gives greater number infinite integrated intercepted Let the equation locus sought logarithmic spiral meet the curve negative nth order number of points ordinates origin osculating circle parabola parallel parameter perpendicular plane point of contact point of intersection polar equation PROP properties radius vector rectangle represented result right line second degree segments sides square substituted subtangent supposed tangent tion tractrix transverse axis triangle values variables velocity vertex vertical
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 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.
الصفحة 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...
الصفحة 394 - The two problems of the duplication of the cube and the trisection of an angle...
الصفحة 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...
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة xl - Lloyd, singly and unassisted, conceived and executed the most important and rapid revolution ever effected in the details of a great public institution.