| Euclides - 1858
...angle in the other. Ax. 1. Magnitudes which are equal to the same, are equal to each other. P. 16. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** EXP. Hyp. 1. „ 2. Concl. 1. „ 2. In As ABC, DBF, let L ABC = L DBF, and L ACB = L DFE; also let... | |
| War office - 1858 - 12 Seiten
...are there in 316 ? Find by logarithms — (1) (3-1416)4 (2) 3-1416 X -045 2-856 «. " Euclid. 1 If a **side of a triangle be produced the exterior angle is greater than either of the interior** and opposite angles. 2. Define a square. Describe a square on a given straight line. What is Euclid's... | |
| Sandhurst roy. military coll - 1859 - 1869 Seiten
...interest upon 166Z. 13s. in 3 years, at 4£ per cent. 10. Extract the square root of '03456. EUCLID. 1. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
| Robert Potts - 1860 - 361 Seiten
...QED COB. 1. From this it is manifest, that, if two straight lines cut each other, the angles which **they make at the point where they cut, are together...greater than either of the interior opposite angles. Let** ABC lie a triangle, and let the side BCbe produced to D. Then the exterior angle A CD shall be greater... | |
| Euclides - 1860
...their intersection, are together equal to four right angles. COR. 2. — And hence, all the consecutive **angles made by any number of lines meeting in one...greater than either of the interior opposite angles.** Given a triangle ABC, and its side BC produced to D, to prove that the exterior angle ACD is greater... | |
| Royal college of surgeons of England - 1860
...base equal to one another, and also those terminated in the other extremity — (first case only). 3. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 4. Any two bides of a triangle are greater than the third. Show that the difference of any two sides... | |
| Young Men's Christian Associations (London, England) - 1860
...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" **If one side of 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... | |
| Alexander Hadden Hutchinson - 1861 - 100 Seiten
...10s for 4 months at 4 per cent, per annum. 10. Extract the square root of '191810713444. Euclid. 1. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
| War office - 1861 - 12 Seiten
...decimal of 51. 10. Find (-05)3. Extract the square root of 17 to three decimal places. EUCLID. 1. If a **side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles.** 2. Describe a parallelogram equal to a given triangle, and having one of its angles equal to a right... | |
| University of Oxford - 1863
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 4. Make a triangle having its sides equal to three given straight lines, of which any two whatever... | |
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