 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 - Page 377by Great Britain. Parliament. House of Commons - 1853Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...double of the squares of AC, CD. Wherefore, wr a straight line, &c. QED PROP. XI. PROB. TO clivjde a given straight line into two parts, so that 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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, e 47. 1. Upon AB describe" the square ABDC ; bisectb AC in E, Book II. and join BE ; produce CA to... | |
 | Euclid - Geometry - 1810 - 554 pages
...AD, DB are double of the squares of AC, CD. \Vherefore, if a straight line, &c. QED PR6P. 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... | |
 | John Mason Good - 1813 - 714 pages
...and the part produced. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...It is required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product... | |
 | Euclides - 1816 - 588 pages
...double of the squares of AC, CD. Wherefore, if a straight line, £c. QED "46. 1 Ho. 1 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... | |
 | John Bonnycastle - Algebra - 1818 - 326 pages
...It is required to divide a line, of 20 inches in length, into two such jiarts that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. lOv/6-10 5. It is required to divide the number 60 into two such parts, that their product shall... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 (46. 1.) the square ABDC ; bisect (10. 1.) AC in E, and join BE ; produce CA to F,... | |
 | John Playfair - 1819 - 354 pages
...the given straight line ; it is required to divide it into two parts, so that the rectangle contaiaed by the whole, and o'ne of the parts, shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC ; bisect (10. 1.) AC in E, and join BE ; produce CA to F,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...line: it is required to divide it into two parts, so that the rectangle contained by the whole and dne of the parts shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC; bisect (10. 1.) AC in E, and join BE; produce CA to F, and... | |
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