 | 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 right angles. 3. Divide a given... | |
 | Euclides - 1852 - 48 pages
...be proved that the angles DBA and i» EC are equal. Which was to be demonstrated. PROP. XVI. THEOB. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let the side AB of the triangle A в c be produced... | |
 | Euclides - 1852 - 152 pages
...any number of lines meeting in one point, are together equal to four right angles. PEOP. 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... | |
 | Euclides - 1853 - 146 pages
...parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. 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. Let ABC be a triangle,... | |
 | Euclides - Geometry - 1853 - 176 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. — THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. LET ab С be a triangle, and let its side b С... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION 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... | |
 | 1855 - 264 pages
...to a given straight line of an unlimited length, from u given point without it. 3. 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 together equal to two right angles. 4. Equal triangles... | |
 | Euclides - 1855 - 270 pages
...vertical angles be bisected, the bisecting lines are ¡none and the same straight line. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let AB С be a triangle, and let its side B С... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he 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. 4. Equal triangles... | |
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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. 
