 | John Playfair, Euclid - 1804 - 468 páginas
...PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the.rectangle contained by the whole, and one of the parts, may be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two... | |
 | John Playfair - 1806 - 320 páginas
...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 to divide it into two parts, so that the rectangle... | |
 | John Playfair - 1819 - 350 páginas
...be done. x Otherwise. •' Divide the radius of the given circle, so that the rectangle contained by the whole and one of the parts may be equal to the square of the other (11. 2.). Apply in the circle, on each side of a given point, a line equal to thegreater of these parts... | |
 | Miles Bland - 1819 - 444 páginas
...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 be the given line to be divided. Upon... | |
 | Miles Bland - 1819 - 442 páginas
...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 he tlie given line to be divided. Upon... | |
 | Euclid, John Playfair - 1826 - 326 páginas
...to be done. Otherwise : "Divide the radius of the given eirele, so that the reetangle eontained by the whole and one of the parts may be equal to the square ef the other (tl. 2.). Apply in the eirele, on eaeh side of a given point, a line equal to the greater... | |
 | James L. Connolly (mathematician.) - 1829 - 266 páginas
...EXAMPLE. 13. Let it be required to divide 100 into two such parts, that the product of the whole, into one of the parts, may be equal to the square of the other part ? 1st. Suppose 38 and 6-i Error in this, 4i — 5 ,,, .._ , 2nd. Suppose 38.2 and 61.8. Error in this,... | |
 | John Hind - 1837 - 584 páginas
...12 — at = — 12, which answer the symbolical condition. • Ex. 3. Divide 20 into two parts, so that the product of the whole and one of the parts, may be equal to the square of the other part. Let a? = one part : .-. 20 - as = the other : whence, 20a? = (20 - off = 400 - 40a? + of : .-. a? -... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...and twice their product ; that is, 49 = .J.)+ .1~pJl '. into two parts, so that the rectangle under the whole and one of the parts, may be equal to the square of the other. Upon AB describe (I. 46.) the square AD ; bisect (I. 10.) AC in E, and join E with B, the remote extremity... | |
 | Euclides - 1840 - 82 páginas
...PROB. To divide a given straight line in such a manner that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. rtl PROP. XII. THEOR. In an obtuse-angled triangle, the square of the side subtending the obtuse angle... | |
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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 on the other part. 
