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, shall be equal to the square of the other part. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...Wherefore, wr a straight line, &c. QED PROP. XI. PROB. TO clivjde 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. Let AB be the given straight line ; it is required... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...Wherefore, if a straight line, &c, QE D, PROP. XI. PROB. TO divide a given 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 the other part. Let AB be the given straight line ; it is required... | |
| Euclides - Geometry - 1816 - 528 pages
...straight line, £c. QED "46. 1 Ho. 1 PROP. XI. PROB. 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. Let AB be the given straight line; it is required... | |
| Miles Bland - Geometry - 1819 - 377 pages
...are equal to the square of AB, ie to the 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 fhe line to be divided. Let AB... | |
| Miles Bland - Geometry - 1819 - 377 pages
...equal to the square of AB, ie to the given square. (9.) To divide a straight line into ttvo 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. L,etAB... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...of the half and the part produced. Prop. XI. Prob. To divide a given straight lint into tu'o parts, **so that the rectangle contained by the whole, and one of the** parts, shall be equal tu the fquare of the other part. Prop. XII. Theor. In obtuse angled triangles,... | |
| John Playfair - Trigonometry - 1819 - 333 pages
...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, shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC ;... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...if a straight line, &c. QED Proposition Xf. Problem. 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 'o the square of the other part. Let AB be the given straight line ; it is required... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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, shall be equal to the square of the other part. Upon AB describe* the square ABDC; bisect* AC... | |
| Euclid, John Davidson - 1835 - 513 pages
...Wherefore, " if a straight line," &c. QED PROP. XI. PROB. 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. Let AB be the given straight line; it is required... | |
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