 To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.  Parliamentary Papers - Стр. 377авторы: Great Britain. Parliament. House of Commons - 1853Полный просмотр - Подробнее о книге
 | James Ryan - 1824 - Страниц: 550
...sought. Ans. 1 1 , 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— lOy/5. Prob. 23. A labourer dug two trenches, one of which was 6 yards... | |
 | James Ryan, Robert Adrain - 1824 - Страниц: 542
...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 was 6 yards... | |
 | Peter Nicholson - 1825 - Страниц: 1046
...equal 'o 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...parts, shall be equal to the square of the other part. Upon AB describe (46. I.) the square ABDC; bisect (10. 1.) AC in E, and join BE ; produce С A to F,... | |
 | John Bonnycastle - 1825 - Страниц: 336
...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 parts that their... | |
 | Robert Simson - 1827 - Страниц: 546
...•3.1. « 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...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 that the rectangle... | |
 | Euclides - 1834 - Страниц: 518
...PROBLEM. — To divide a given straight line into two parts, to that the rectangle contained by the wholc 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 that the rectangle... | |
 | Euclid - 1835 - Страниц: 540
...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...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 that the rectangle... | |
 | Robert Simson - 1835 - Страниц: 544
...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...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 that the rectangle... | |
 | John Playfair - 1836 - Страниц: 148
...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...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 ; produce CA to F, and... | |
 | Euclides - 1837 - Страниц: 112
...that this = AC* + CE* + EF! + FG", and that these = 2 AC* + 2 CD!. H PROPOSITION XI. E ._ Problem. To divide a given straight line into two parts, so...and one of the parts shall be equal to the square of c KT~i the other part. Steps of the Demonstration. 1. Prove that CF x FA + AE* = EF*, and that this... | |
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