 | Isaac Todhunter - Plane trigonometry - 1864 - 298 pages
...therefore therefore |, .CZ> = rcot?f ,sin^ ' * • C . B . G a sin — sm 250. To find the radius of a circle which touches one side of a triangle and the other sides produced. Let ABG be a triangle, and let 0 be the centre of the circle which touches the side BO, and the other... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sidus produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular... | |
 | University of Madras - 1876 - 580 pages
...e" 4 a° — SaccosB A +B+ 0 = 180° Show that c* = a z + i a — 2afc cos C X. Find the radius of a circle which touches one side of a triangle and the other sides produced. If Oi, 0 a , O s be the centres of the escribed circles, show that Oi o a =_f_ o 3 o ii= —L_ Sm i... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...between this fourth point and each of the others. (40.) 50. Investigate an expression for the radius of a circle, which touches one side of a triangle, and the other two sides produced. If R, is the radius of the circle touching the side a, and the other two produced,... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular... | |
 | Education, Higher - 1882 - 498 pages
...(iii) sin (180° - A) = sin A. (iv) sin 4-4=4 (sin A cos3 A — cos A sin3 A). 3. Find the radius of a circle which touches one side of a triangle and the other sides produced. 4. Prove that tan A + tan B = -. X cos A cos Ii Express tan 8 A in terms of tan A. 5. Find an expression... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...meet will be the centre of the required circle. The demonstration will be similar to that in IV. 4. A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. We can also describe a triangle equiangular... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...without tables that the base angles = 59° -16' nearly. 10. Investigate an expression for the radius of a circle which touches one side of a triangle and the other two sides produced. If rl> rv r3 be the radii of the three escribed circles, and show that the triangle... | |
 | Euclid - Geometry - 1892 - 460 pages
...circle. The centre of the circle inscribed in a triangle is sometimes called its In.centre. DEFINITION. A circle which touches one side of a triangle and the other two sides produced is said to be an escribed circle of the triangle. To draw an escribed circle of... | |
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A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle. 
