 | John Paxton Hall - 1860 - 186 σελίδες
...triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | Euclides - 1860 - 288 σελίδες
...parallel to 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...and the three interior 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... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 σελίδες
...\ , <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 the three interior angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may be turned down,... | |
 | Young Men's Christian Associations (London, England) - 1860 - 490 σελίδες
...a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to two right angles." One day, when he was busied with the demonstration of this theorem, his father caught him in the act... | |
 | John Playfair - 1860 - 334 σελίδες
...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 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... | |
 | John Fellows - 1860 - 376 σελίδες
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... | |
 | Woolwich roy. military acad - 1861 - 572 σελίδες
...- — --- Q'^— by means of 10o the logarithmic tables. 10. If a side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. The angle between the lines bisecting two adjacent exterior angles of any... | |
 | S. M. Saxby - 1861 - 140 σελίδες
...the double of the angle ACB. Fig. 17. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two interior and...opposite angles; and the three interior angles of any triangle are equal to two right angles. Reference to Prop. XXIX. Book I. will show that the angle... | |
 | S. M. Saxby - 1862 - 200 σελίδες
...be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two interior and...opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book I. will show that the angle... | |
 | Robert Potts - 1863 - 482 σελίδες
...to twice the line joining C with the middle point of AB. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. 3. Triangles upon the same base, and between the same parallels, are equal... | |
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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. 
