| Great Britain. Committee on Education - 1850 - 942 pages
...£20. 1. Define a parallelogram, — and what is meant by a line cut in extreme and mean ratio. 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal.** — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square... | |
| Education - 1851 - 502 pages
...be equal to each other, the -/ S &lso which subtend the equal angles shall be equal to each other. 2 **"if a straight line fall upon two parallel straight lines, it makes the** iternate angles equal to ear.h other: and the exterior angle equal to the "• -:— and opposite upon... | |
| Education - 1863 - 830 pages
...of Dupleix ? Examination Returns, $r. ARITHMETIC AND ALGEBRA. Examiner. — RKV. KS MACDONALD, MA 1. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another. Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same... | |
| Euclides - 1852 - 152 pages
...angle GHD ; and they are alternate angles ; therefore AB is parallel to CD. BOOK I. PEOP. XXIX. THEOR. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another. And the exterior angle equal to the interior and opposite upon the same side. And likewise... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, if a straight line, etc. QED PROPOSITION XXIX. THEOR. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one anotker ; and the exterior angle equal to the interior and opposite upon the same side ; and... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...another upon one side of it, are either two right angles, or are together equal to two right angles. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another. Of all parallelograms, that can be described on the same base and between tbe same... | |
| 1858 - 398 pages
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite angle upon the same side... | |
| War office - 1858 - 578 pages
...interest of £237 10s. for 5 years at 4 per cent. 8. Extract the square root of -05368489. Euclid. 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another; and the exterior angle equal to the interior and opposite angle upon the same side;... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...1. Draw a straight line at right angles to a given straight line, from a given point in the same. 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another, and the exterior angle equal to the interior and opposite angle on the same side; and... | |
| Civil service - 366 pages
...base of that which has the greater angle, shall be greater than the base of the other. PROP. XXIX. — **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another ; and the exterior angle equal to the interior and opposite angle upon the same side... | |
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