| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...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... | |
| 1886 - 568 pages
...to find x. EUCLID. 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...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 pages
...from a given point parallel to a given straight line in either direction. PROPOSITION XXXIL THEOREM. **If a side of any triangle be produced, the exterior...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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
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