 | Euclides - 1848 - 52 pages
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle... | |
 | University of Cambridge - 1849 - 560 pages
...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...the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Can you give Legendre's method... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...angle BAC; but the two angles are not equal. 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...any number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
 | 1850 - 400 pages
...suspended from B; find the thrusts on AC, and the strains upon AD and DC. •_ III.—ffiutlfo. I. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts,... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...another upon one side of it are either two right angles, or are together equal to two right angles. 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides... | |
 | Education - 1850 - 488 pages
...other: the base of that which has the greater angle shall be greater than the base of the other. 2. If one side of a triangle be produced, the exterior angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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...the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Can you give Legendre's method... | |
 | 1867 - 336 pages
...this problem. S. Bisect a given finite straight line. What is to bisect ? Need the line be Suite P 4. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht... | |
 | Charles Astor Bristed - 1852 - 470 pages
...the 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 to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
