 | Education, Higher - 1882 - 498 pages
...triangle be produced the exterior angle is equal to the two interior, opposite angles ; and the three interior angles of every triangle are together equal to two right angles. After proving the above enunciate and prove three corollaries to it. 13. In any right-angled triangle... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 6. The angles in the same segment of a circle are equal to one another. 7. A circle cuts off chords... | |
 | Education Ministry of - 1882 - 300 pages
...Construct the triangle when each side is equal to half the sum of the other two. SECrION III. 1. The three interior angles of every triangle are together equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...triangle be produced, tJie exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BG be produced to D : the exterior angle A CD shall... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the same side of it are between the same... | |
 | Euclides - 1883 - 176 pages
...triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA + LB + L ACB = 2 Lr-s. C " Through C... | |
 | Euclides - 1884 - 182 pages
...side of a triangle be produced, the exterior angle is equal to the two opposite interior angles ; and the interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, having one side BC produced to D. Then the exterior angle ACD shall be equal... | |
 | Euclides - 1884 - 214 pages
...triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. In the triangle ABC ; GIVEN that BC is produced to D ; IT is REQUIRED TO PROVE that the angle ACD is... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. What fractions of a right angle will the angles of a pentagon be, if they are in the ratios of the... | |
 | 1885 - 608 pages
...triangle be produced the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. 3. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 
