 | Thomas Leybourn - Mathematics - 1835 - 682 pages
...S,, sin X.. XI. QUESTION ,501, by Afr. THOMAS STEPHENS DAVIES, Jlat/i. Lines drawn from the angles of a triangle to the points of contact of the inscribed circle meet in the same point (c), as it well known : lines drawn to the points of contact of the circles... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pages
...-B) = - cos 2 A, and sin 2 A + sin2.B 23. If a, ß, <Y, denote the distances from the angular points of a triangle to the points of contact of the inscribed circle, shew that its radius = ( ° "/ ) . Wß + 'y/ 24. Prove that the circular measure of 42° is .73303.... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...tan 4 + tan B + tan C = tan A tan B tan C. If a, /3, 7 denote the distances from the angular points of a triangle to the points of contact of the inscribed circle, shew that the radius of the circle is equal to afty \a + ft+yJ 13. A tower 51 feet high has a mark... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...tan_B + tan (7 = tan .4 tan5 tan C. (B}t If a? /3, 7, denote the distances from the angular points of a triangle, to the points of contact of the inscribed circle, shew that the radius of the inscribed circle Here (B] is a direct application of the formula proved... | |
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...be; CA,ca; AB, ab lie in one straight line. 10. Hence prove that the lines joining the angular points of a triangle to the points of contact of the inscribed circle meet in a point. 11. What are the conditions necessary in order that the general equation ax* + by... | |
 | David Munn - 1873 - 160 pages
...are proportional to their perimeters. 40. If «, |3, y denote the distances from the angular points of a triangle to the points of contact of the inscribed circle, shew that its radius is 41. The perimeter of an equilateral triangle being 27 yards, find the area.... | |
 | David Munn - Measurement - 1874 - 374 pages
...are proportional to their perimeters. 40. If a, ß, у denote the distances from the angular points of a triangle to the points of contact of the inscribed circle, shew that its radius is 4L The perimeter of an equilateral triangle being 27 yards, find the area.... | |
 | George Bruce Halsted - Measurement - 1881 - 266 pages
...within a triangle, upon the sides, prove Ai A2 AS 159. If TI, T2, T3 be the distances from the angles of a triangle to the points of contact of the inscribed circle, prove __ / \ 160. If r4, TJ, T6 be the distances from the angles of a triangle to the center of the... | |
 | Education, Higher - 1884 - 538 pages
...tan"1;*; +tan-1 (1 — x) = tan "*>/# — 3. If a, /S, 7 denote the distances from the angular points of a triangle to the points of contact of the inscribed circle, show that the radius is equal to ( a/"*Y V. \a + p + 7/ 4. Find the sum to n terms of (i) cosa + cos... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...intersect in one point. 2. Prove that the three bisectors of the angles of a triangle a1e concurrent. 3. Prove that the lines joining the vertices of a...that the other three have the same property. 6. If A, B, C, D are any four points on a straight line, prove that AB + BC + CD + DA = o. 7. If ABC is a triangle... | |
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Prove that the lines joining the vertices of a triangle to the points of contact of the inscribed circle are concurrent. 
