 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the angular points of the rectilineal figure are upon the circumference of the circle. PROBLEM 2. /;/ a given circle to inscribe a triangle equiangular to a given triangle. Let it be required to inscribe in the ®XYZ a A equiangular to the A PQR. Draw a tangent SZTio the ®XYZ:... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...diameter, the problem (III. 2, cor.) is evidently impossible. QEF PROP. II— PROBLEM. (Euc. IV. 2.) In a given circle to inscribe a triangle equiangular to a given triangle. Let PQ3 be the given circle, and ABC the given triangle, it is required to inscribe in the circle a triangle... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION IL PROBLEM. In a given circle to Inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and D£-Pthe given triangle. It is required to inscribe in the circle ABC a triangle... | |
 | Education Department,London - 1876 - 1010 pages
...that another equilateral triangle will be formed four tunes as large as the original triangle. 2. In a given circle to inscribe a triangle equiangular to a given triangle. 3. To describe a circle about a given triangle. Four circles are described through the angular points... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...called an escribed circle. Discussion on the inscribed and escribed circles of a triangle. PROB. 7. In a given circle to inscribe a triangle equiangular to a given triangle. PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9.... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...CBD. Therefore A is equal to any angle inscribed in the segment BHD. PROPOSITION XVIII.—PROBLEM. Within a given circle to inscribe a triangle equiangular to a given triangle. Let xyz be the given triangle, and BED the given circle. Draw AC tangent at B: at the point B and with... | |
 | James Maurice Wilson - 1878 - 450 pages
...one side of a triangle and the other two sides produced is called an escribed circle. PROBLEM 7. In a given circle to inscribe a triangle equiangular to a given triangle. Construction. Let ABC be the given circle, and DEF the given triangle : it is required to inscribe... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...segment BA C is cut off the circle ABC, containing an angle equal to D. Proposition 26. Problem.—In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle; it is required to inscribe in the circle ABC a triangle equiangular... | |
 | Edward Harri Mathews - 1879 - 94 pages
...circle, that is the shortest which is at right angles to the diameter passing through the point. 10. In a given circle to inscribe a triangle equiangular to a given triangle. 11. Any equilateral figure which is inscribed in a circle is also equiangular. MATRICULATION, JUNE... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight line D, which is not greater than the diameter of the circle. QEF PROPOSITION 2. PROBLEM. In a given circle, to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DBF the given triangle : it is required to inscribe in the circle ABC a triangle... | |
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In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. 
