 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.  The Cambridge Examiner - Page 1651884Full view - About this book
 | 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...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...finite straight 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
...distance 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...opposite angles. 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... | |
 | 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...opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts,... | |
 | Euclides - 1853 - 146 pages
...given point A, 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...opposite angles; 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given point A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one... | |
 | 1855 - 264 pages
...line perpendicular 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...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon... | |
 | 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...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon... | |
 | John Playfair - Geometry - 1855 - 334 pages
...EAF is drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...opposite to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two... | |
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