 | Elias Loomis - 1858 - 256 sider
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three...angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then will the exterior angle... | |
 | Euclides - 1858 - 248 sider
...4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) If a side of any triangle be produced, the 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. CONSTRUCTION. — P. 31. To draw a st. line, through a fjiven point,... | |
 | War office - 1858 - 578 sider
...equidistant from the two extremities of the finite line ? 2. If a side of a triangle be produced, the 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. State Euclid's corollaries to this proposition. VOLUNTARY PORTION.... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 sider
...triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the 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. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure... | |
 | John Playfair - 1860 - 334 sider
...PROP. XXXII. TIIEOR. If a side of any triangle lie produced, the exterior angle is equal to the tiro interior and opposite angles ; and the three interior...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
 | Euclides - 1860 - 288 sider
...the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove that the exterior angle ACD... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 sider
...\ , <z, O\ '4' 3v A ' 4\ K ' 2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia equal to the two interior and opposite angles; and...angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may be turned down, so as to demonstrate the latter... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...where they cut, are together equal to four right angles. 4. If a side of a triangle be produced, the 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. 5. Parallelograms upon equal bases and between the same parallels... | |
 | Robert Potts - 1860 - 380 sider
...given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the 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 ABCbe a triangle, and let one of its sides UCbe produced to... | |
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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. 
