 | Norman Macleod Ferrers - 1861 - 206 páginas
...represent a rectangular hyperbola, the curve will pass through the four points for which In other words, if a rectangular hyperbola be so described that each...opposite side, it will pass through the centres of the four circles which touch the three sides of the triangle. 14. To investigate the conditions that the... | |
 | Norman Macleod Ferrers - 1861 - 200 páginas
...rectangular hyperbola, the curve will pass through the four points for which MODERN GEOMETRY. In other words, if a rectangular hyperbola be so described that each angular point of a given triangle is the pole, will respect to it, of the opposite side, it will pass through tk centres of the four circles which... | |
 | Robert Henry Wright - 1865 - 174 páginas
...intersection of the perpendiculars let fall from each angular point of the triangle on the opposite side. 152. If a rectangular hyperbola be so described that each...it of the opposite side, it will pass through the centers of the four circles which touch the three sides of the triangle. 153. To find the direction... | |
 | George Hale Puckle - 1868 - 386 páginas
...hyperbola is described, with regard to which a given triangle is self-conjugate; shew that the curve passes through the centres of the inscribed and escribed circles of the triangle. 40. Find the conditions that the equations (i) Ifty + mya + naf3 = 0, (ii) *Jla + A/m/3 + /Jny = 0,... | |
 | George Hale Puckle - 1887 - 404 páginas
...is described, with regard to which a given triangle is self-conjugate ; shew that the curve passes through the centres of the inscribed and escribed circles of the triangle. 40. Find the, locus of a point (i) such that the square of the tangent from it to a fixed circle is... | |
 | 1862 - 286 páginas
...pole of DE with respect to the rectangular hyperbola passing P, С, Д, and G; but P, С, R, and 6? are the centres of the escribed and inscribed circles...and its centre will be on the circumscribing circle. PROPERTT OF A CIRCLE TANGENTIAL TO THREE CIRCLES. By John Casey, Scholar of Trinity College, Dublin.... | |
 | 1862 - 290 páginas
...therefore it is the locus of the centre of the hyperbola. The intersections of tangents at P and Ç, and at R and G lie on the straight line DE, ie the...the inscribed and escribed circles of the triangle j and its centre will be on the circumscribing circle. PROPERTY OF A CIRCLE TANGENTIAL TO THREE CIRCLES.... | |
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... straight line DE, ie the poles of PQ and RG with respect to the hyperbola lie on the straight line DE. Therefore F is the pole of DE with respect to the rectangular hyperbola passing P, Q, R, and G; but P, Q, R, and G are the centres of the escribed... 