| James Ryan - 1824 - 516 Seiten
...sought. Ans. II, or 3], Prob. 22. It is required to divide 20 into two such parts, that the product of **the whole and one of the parts, shall be equal to the square** of the other. Ans. lOv/5 — 10, and 30— 10^/5, Prob. 23. A labourer dug two trenches, one of which... | |
| Peter Nicholson - 1825 - 372 Seiten
...double of the squares of AC, CD. Wherefore, if a straight line, &c. QED Proposition Xf. Problem. To **divide a given straight line into two parts, so that...by the whole, and one of the parts, shall be equal** 'o the square of the other part. Let AB be the given straight line ; it is required to divide it into... | |
| Daniel Cresswell - 1825 - 582 Seiten
...produced, shall be to the square of the part produced, in a given ratio. VIII. PR. To divide a given finite **straight line into two parts, so that the rectangle, contained by the whole** line, and the difference of those two parts, shall be in a given ratio to the square of the less of... | |
| John Bonnycastle - 1825 - 312 Seiten
...is required to divide a line, of 20 inches in length, into two such parts that the rectangle of (he **whole and one of the parts shall be equal to the square** of the other. Ans. 10^5-10, and 30—10^/5 6. It is required to divide the number 60 into two such... | |
| Robert Simson - 1827 - 513 Seiten
...« 46. 1. •6.2. t Constr. • 47. 1. t 3 Ax. t 30 Def. t lAx. t 3 Ax. t 30 Def. PROP. XL PROB. To **divide a given straight line into two parts, so that...and one of the parts, shall be equal to the square** of the other part. Let AB be the given straight line ; it is required to divide .it into two parts,... | |
| Miles Bland - 1827 - 377 Seiten
...contained by the whole line produced and the part produced may be equal to a given square. 9. To divide a **straight line into two parts, so that the rectangle contained by the whole and one of the parts** may be equal to the square of a given line, which is less than the line to be divided. 10. To divide... | |
| John Playfair - 1832 - 333 Seiten
...equal to the square of the other part. Let AB be the given straight line; it is required to divide it **into two parts, so that the rectangle contained by the whole, and one of** the_parts, sha'l be equal to the square of the other part. Upon AB describe (40. 1.) the square ABDC;... | |
| Euclid, Robert Simson - 1835 - 513 Seiten
...AD, DB are double the squares of AC, CD. Wherefore, " if a straight line," &c. QED PROP. XI. PROB. To **divide a given straight line into two parts, so that...and one of the parts, shall be equal to the square** of the other part. Let AB be the given straight line; it is required to divide it into two parts, so... | |
| Euclid, Robert Simson - 1835 - 513 Seiten
...CD. Wherefore, " if a straiglit line," &.c. QED PROP. XI. PROB. To divide a given straight line info **two parts, so that the rectangle contained by the...and one of the parts, shall be equal to the square** of the other part. Let AB be the given straight Hue; it is required to divide it into two part", so... | |
| John Playfair - 1836 - 114 Seiten
...equal to the square of the other part. Let AB be the given straight line : it is required to divide it **into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square** of the other part. Upon AB describe (16. 2.) the square ABDC; bisect (8. 1.) AC in E, and join BE ;... | |
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