 | Euclid, Isaac Todhunter - 1883 - 428 pagine
...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...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... | |
 | Euclides - 1884 - 214 pagine
...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...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... | |
 | University of Cambridge - 1884 - 624 pagine
...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...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 the squares described on the... | |
 | Stewart W. and co - 1884 - 272 pagine
...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...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 exterior angle ACD is equal... | |
 | 1884 - 266 pagine
...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 pagine
...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... | |
 | 1884 - 708 pagine
...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 the three interior angles of every triangle are together equal to two right angles. Prop. 32, Bk. I. 3. To describe a parallelogram that shall be equal... | |
 | 1885 - 608 pagine
...greater than 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...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... | |
 | Oxford univ, local exams - 1885 - 358 pagine
...with the 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...and the three interior angles of every triangle are together equal to two right angles. Enunciate the first corollary to this proposition. What number... | |
 | 1885 - 630 pagine
...abbreviations for words may be used.] Answer two Questions, including 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 three interior angles of every triangle... | |
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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. 
