Find the equation of the circle inscribed in the triangle formed by the lines x + y = 0, x - 7y + 24 = 0, and 7x - y -8 = 0. Analytic Geometry - Page 106by Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 290 pagesFull view - About this book
| Joseph Wolstenholme - Mathematics - 1867 - 368 pages
...and hence that the locus of a point, from which if two tangents be drawn to the ellipse the centre of the circle inscribed in the triangle formed by the two tangents and the chord of contact shall lie on the ellipse, is the curve V y' a'-b' -l b' 602. The three points whose eccentric angles... | |
| Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...; and hence that the locus of a point from which if two tangents be drawn to the ellipse the centre of the circle inscribed in the triangle formed by the two tangents and the chord of contact shall lie on the ellipse is the confocal a? y>_a'-b' 1020. Two tangents are drawn to an ellipse from... | |
| William Meath Baker - Conic sections - 1906 - 363 pages
...equations Qx2 - 5xy - 6y2 = 0, and Qx2 - 5xy - 6y2 + x + 5y - 1 = 0 lie along the sides of a square. 2. Find the equation of the circle inscribed in the triangle formed by the axes of co-ordinates and the straight line - + ^ = 1. & a 1} 3. Tangents are drawn to the parabola... | |
| Henry Bayard Phillips - Geometry, Analytic - 1915 - 220 pages
...about the triangle formed by the three lines x -\- у — 2 = 0, 9ж + 52/ — 2 = 0, у + 2x -1=0. 23. Find the equation of the circle inscribed in the triangle formed by the lines x -\- y = 1, y — x = I, x — 2y = 1. 24. Find the locus of points from which the tangents... | |
| William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...equations of the circles of the preceding exercise, if their centers lie on the line 2x — y — 2=0. 13. Find the equation of the circle inscribed in the triangle formed by the axes and the line 3x — ky — 12 = 0. 14. Find the equation of an arbitrary circle, referred to two... | |
| Asia - 1888 - 438 pages
...second degree represents a parabola, and two tangents be drawn from the origin to the curve, the area of the triangle formed by the two tangents and the chord of contact is _ c\/c \/a - g\/b Again, the chord of contact being the polar of (*', y') with respect to the conic,... | |
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