 | 1857 - 400 Seiten
...triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle is opposite to the greater side. SECTION VI. — GRAMMAR.... | |
 | Euclides - 1858 - 248 Seiten
...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 - 578 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 - 672 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 - 380 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 - 288 Seiten
...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 - 332 Seiten
...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 - 490 Seiten
...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 - 128 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 - 714 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... | |
| |
If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
