 | James White - Conic sections - 1878 - 160 pages
...and for any point inside the ellipse the sum of the focal distances is less than 2ci.) 81. To find the locus of the foot of the perpendicular from the focus on the tangent. Let P be the point where the perpendicular from the focus F, on any tangent TP, meets it. (This point... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...conic, a/3 = A*, becomes in the case of the parabola where A passes to infinity, /3cos0 = &, showing that the locus of the foot of the perpendicular from the focus /3 in a tangent is a right line. In like manner for a curve of the third class the formula a/Sy = AS... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...a conic section, the focns being the pole, and the equation to the tangent to it at any point. Find the locus of the. foot of the perpendicular from the focus on the tangent. 14. Prove that the locus of a point the sum of whose distances from two given points is constant is... | |
 | Arthur Sherburne Hardy - Quaternions - 1881 - 248 pages
...vector to the point of contact. (fr) ¡s also the perpendicular from the focus on the normal, and shows that the locus of the foot of the perpendicular from the focus on the normal is aparábala, ivhose vertex is at the focus of the given parabola and whose parameter is one-fourth... | |
 | Dublin city, univ - 1883 - 510 pages
...= o, find the numerical value of the symmetric function +!)(7 + «)08 + 5)(a + 0) (7 + 5). 10. Find the locus of the foot of the perpendicular from the focus on a normal of a parabola. ME. WR ROBERTS. 11. Prove that the circle circumscribing the triangle formed... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...since FY= YM and FA = AX, AY is parallel to the directrix, and is therefore the tangent at A. Therefore the locus of the foot of the perpendicular from the focus on the tangent is the tangent at the vertex. COR. 4. Since FYM is perpendicular to the tangent and FY= YM, M is called... | |
 | United States. Congress. Senate - United States - 1880 - 1304 pages
...a conic section, the focus being the pole, and tho equation to the tangent to it at any point. Find the locus of the foot of the perpendicular from the focus on the taugeiit. 14. Prove that the locus of a point the sum of whose distances from two given points is constant... | |
 | History - 1893 - 304 pages
...joining the fourth point of these two ranges is a conic touching the double and inflectional tangents. The locus of the foot of the perpendicular from the focus on the tangent to a conic is the auxiliary circle. Inverting: — draw a circle through the node tangent to a lima9on;... | |
 | History - 1893 - 294 pages
...joining the fourth point of these two ranges is a conic touching the double and inflectional tangents. The locus of the foot of the perpendicular from the focus on the tangent to a conic is the auxiliary circle. Inverting: — draw a circle through the node tangent to a lima^on;... | |
 | W. J. Johnston - Geometry, Analytic - 1893 - 448 pages
...tangent at any point meets the directrix and latns rectum at points equidistant from the focus. 9. Find the locus of the foot of the perpendicular from the focus on the normal. Ans. The parabola y2 = a (x — a). 10. Prove that the parabolas y2 = ax, x2 = by ¡a cut at... | |
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... the locus of the centres of circles described through the origin to touch the inverse curve. Thus from the theorem that the locus of the foot of the perpendicular from the focus on the tangent of a conic is a circle, we deduce (as Mr. 
