| Royal college of surgeons of England - 1860
...the same : and thence show that two straight lines cannot have a common segment. 4. If the side of a **triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are** together equal to two right angles. 5. Describe a square on a given straight line. 6. Define " a gnomon"... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860
...\ , <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... | |
| John Playfair - 1860 - 317 páginas
...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 exterior angle ACD is equal... | |
| Woolwich roy. military acad - 1861
...I0«(s-s1)=*2-s. 9. Find the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. **If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles.** The angle between the lines bisecting two adjacent exterior angles of any quadrilateral is equal to... | |
| S. M. Saxby - 1861 - 112 páginas
...whole angle ADB be the double of the angle ACB. Fig. 17. 24. Euc. I. Prop. XXXII. — If any side of a **triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of** any triangle are equal to two right angles. Fig. 18. !>„ Reference to Prop. XXIX. Book I. will show... | |
| Euclides - 1862
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then **the exterior angle is equal to the two interior and...and the three interior angles of every triangle are** together equal to two right angles. (References— Prop. i. 13, 29, 31 ; ax. 2.) Let ABC be a triangle,... | |
| S. M. Saxby - 1862 - 179 páginas
...the whole angle ADB 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...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... | |
| 1880
...the straight line AE, therefore the two angles ACB, BCE are equal to two right angles (i. 13) ; but **the three interior angles of every triangle are equal to two right angles** (i. 32), therefore the three interior angles of the triangle DBC are equal to the three angles ACD,... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...side, and the difference of the other two sides. 2. If a side of any triangle be produced, prove that **the exterior angle is equal to the two interior and opposite angles, and** that the three interior angles of every triangle are equal to two right angles. State and prove also... | |
| 1880 - 153 páginas
...use to which it is put, and where it is manufactured. EUCLID. (OPTIONAL.)—Time allowed If hoar. 1. **If a side of any triangle be produced, the exterior angle is** eqiul to the two interior and opposite angles ; and the three interior angles of every triangle are... | |
| |