| Euclides - Geometry - 1853 - 334 pages
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then **the rectangle contained by the unequal parts together with the square of the** part of the line intercepted between the points of section, shall be equal to the square of half the... | |
| William Somerville Orr - Science - 1854 - 532 pages
...л straight line (AB) be divided into two equal parts (inC), and also info two unequal parts (in D), **the rectangle contained by the unequal parts, together with the square of** (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...T) B PROP. V. THEOR. If a straight linele divided into two equal parts, andalsointo twounequalparts; **the rectangle contained by the unequal parts, together...points of section, is equal to the square of half the** line. Let the straight line AB be divided into two equal parts in the- point C, and into two unequal... | |
| Euclides - 1855 - 262 pages
...into turn equal parts, and also into two unequal part'; the rectangle contained by the unequal parta, **together with the square of the line between the points of section** (or division), is equal to the square of half the line. Let the straight line AB be divided into two... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. **If a straight line be divided into two equal parts,...points of section, is equal to the square of half the** line. Prove this proposition algebraically. 6. Find the centre of a given circle. Shew that if in a... | |
| Euclides - 1856 - 168 pages
...of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...points of section, is equal to the square of half the** line. Let the straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal **and also into two unequal parts; the rectangle contained...points of section is equal to the square of half the** line. State this result algebraically. 5. Draw a straight line from a given point, either without or... | |
| 1857 - 408 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 5. **If a straight line be divided into two equal parts, and also into two unequal parts, the** reptangle contained by the unequal parts, together with the square of the line between the points of... | |
| War office - 1858 - 578 pages
...24Z. 12s., and loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. **If a straight line be divided into two equal parts,...points of section is equal to the square of half the** line. 2. Equal straight lines in a circle are equally distant from the centre ; and those which are... | |
| Euclides - 1858 - 134 pages
...Лx. 1. Conc. l ¡î.'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. **line be divided into two equal parts, and also into two unequal parts, the** squares of the two unequal parts are together double of the square of the half line and of the square... | |
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