 | Joseph Hughes - 1883 - 568 σελίδες
...by the sides equal to them of the other. Euclid, I., 24. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and...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... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...the given straight line BG. QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie exterior angle is equal to the two interior and opposite...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... | |
 | Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...be equal to a given straight line. PROPOSITION XXXII. THEOREM. If a Me of any triangle be produced, the exterior angle is equal to the two interior and...interior angles of every triangle are together equal to tiro right angles. .n Let ABC be a A , and let one of its sides, BC, be produced to D. Then will I.... | |
 | 1886 - 568 σελίδες
...FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and...opposite angles, and the three interior angles of any triangle are together equal to two right angles. >. 8. To make a parallelogram equal to a given... | |
 | Euclides - 1884 - 214 σελίδες
...straight line in either direction. PROPOSITION XXXIL THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and...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... | |
 | 1884 - 708 σελίδες
...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... | |
 | University of Cambridge - 1884 - 624 σελίδες
...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 to the two interior and...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... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...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... | |
 | 1884 - 266 σελίδες
...straight lines." What is (1) a Postulate, (2) an Axiom ? 2. If any side of a 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 straight line be divided into two equal parts,... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...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 to the two interior 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... | |
| |
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. 
