| Euclides - 1847 - 128 pages
...passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side **of any triangle be produced, the exterior angle is...the two interior and opposite angles ; and the three** inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC be a A,... | |
| Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also **the three interior angles of every triangle are together equal to two right angles.** (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon... | |
| Euclides - 1848 - 52 pages
...straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side **of any triangle be produced, the exterior angle is...the two interior and opposite angles ; and the three** ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side **of any triangle be produced, the exterior angle is...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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of **the two interior and opposite, angles; and the three interior angles of every triangle are** equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the... | |
| University of Cambridge - 1849 - 560 pages
...line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side **of any triangle be produced, the exterior angle is equal to the** sum of the two interior and opposite angles ; and the three interior angles of every triangle are together... | |
| Education - 1850 - 488 pages
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a **triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles.** 3. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side **of any triangle be produced, the exterior angle is equal to the** sum of the two interior and opposite angles ; and the three interior angles of every triangle are together... | |
| Euclides - 1852 - 152 pages
...AK, touch the arc in E. Join EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. If a side **of any triangle be produced, the exterior angle is...And the three interior angles of every triangle are** equal to two riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.)... | |
| Charles Astor Bristed - 1852 - 470 pages
...base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a **triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are** equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle... | |
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