 | University of Cambridge - 1884 - 624 pages
...condition ? 2. Any two sides of a triangle are together greater than the third side. 3. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. 4. If the square described on one of the sides of a triangle be equal to... | |
 | Education - 1884 - 708 pages
...four sides, AE, ED, DB, BA. — QED 2. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and...every triangle are together equal to two right angles. Prop. 32, Bk. I. 3. To describe a parallelogram that shall be equal to a given triangle, and have one... | |
 | 1884 - 266 pages
...triangle," " parallel straight lines." What is (1) a Postulate, (2) an Axiom ? 2. If any side of a triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of every triangle'are together equal to two right angles. 3. If a straight line be divided into two equal parts,... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...perpendicular to a given straight line of unlimited length, from a given point without it. 2. If a side of a triangle be produced, the exterior angle is equal...and opposite angles; and the three interior angles are equal to two right angles. If ABC be any triangle, and through D the middle point of AS, DE is... | |
 | Stewart W. and co - 1884 - 272 pages
...point A parallel to the given straight line BC. XXXII. — If a side of any triangle be produced, tht exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
 | Euclides - 1884 - 182 pages
...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 to the two opposite interior... | |
 | Popular educator - 1884 - 910 pages
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First Book, that tho three interior angles of every triangle are together equal to two right angles, that is, to 180°. Let the reader bear this fact in mind. Hence it follows that if the measure of any... | |
 | Oxford univ, local exams - 1885 - 358 pages
...square on the line between the points of section, is equal to the square on half the line. 5. If a side of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles. Enunciate the first corollary to this proposition. What number of sides must a rectilineal figure have... | |
 | 1885 - 608 pages
...a second, the angle opposite the first must be greater than that opposite the second. 2. If a side of any triangle be produced the exterior angle is...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... | |
 | Education - 1885 - 630 pages
...Question 3, if you can. MALES. 1. If a side of any triangle be produced, the exterior angle is «Ч1»! to the two interior and opposite angles ; and the...every triangle are together equal to two right angles. Prop. 32, Bk. I. 2. The complements of the parallelograms which are about tbe diameter of any 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 equal to two right angles. 
