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" Д0 be the area of the triangle formed by joining the points of contact of the... "
The Quarterly Journal of Pure and Applied Mathematics - Page 50
1871
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. 40. If four straight lines intersect each other, and form four triangles; the circles which circumscribe...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. Let three equal circles, whose centres are A, B, C, touch each other in D, F, E. Join AB, BC, CA, ED,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...circles touch each other, to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact Let three equal circles, whose centres are A, B, C, touch each other in D, E, F. Join AB, BC, CA, ED,...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. 102. Four equal circles touch each other and a given circle externally : compare the radius of one...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...given side. 101. The area of the triangle formed by joining the centres, may be shewn to be four times the area of the triangle formed by joining the points of contact of the circles. 102. If the radius of the given circle be unity, the radius of each of the four equal...
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Dublin examination papers

Dublin city, univ - 1863 - 312 pages
...given angle, find the locus of their intersection. 10. A, B, C are the angles of a plane triangle, S is the area of the triangle formed by joining the points of contact of the inscribed circle, and S' is the area of the triangle made by joining the intersections of the...
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Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ...

Charles Taylor - Conic sections - 1863 - 248 pages
...the parabola. 85. The area of the triangle formed by three tangents to a parabola is equal to half the area of the triangle formed by joining the points of contact. 86. PQ is any chord of a parabola cutting the axis in L ; JR, R' are the two points in the parabola...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...circle. 149. The area of the triangle formed by joining the centers, may be shewn to be four times the area of the triangle formed by joining the points of contact of the circles. 150. Let AB be the base of the given segment, C its middle point. Let DCB be the required...
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Mathematical Questions and Solutions

Mathematics - 1868 - 124 pages
.../ / "{a0(l — a-0)}*da<f0 .{- / / IT 41T1 — . 3. If the equation of the conic (referred to ABC) be the area of the triangle formed by joining the points of contact is, in parts of the triangle ABC, _ (r+p)(r + q) (q + r) ' O, fj and the centre of this conic is -...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1874 - 360 pages
...opposite side 250 feet, find approximately the number of minutes in the other acute angle. 257. Shew that the area of the triangle formed by joining the points of contact of the inscribed circle, or an escribed circle, of a triangle is ^ , -where p is the radius of the...
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