 | John Playfair, Euclid - 1804 - 468 σελίδες
...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 σελίδες
...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 - 348 σελίδες
...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 - 442 σελίδες
...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... | |
 | Miles Bland - 1819 - 444 σελίδες
...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... | |
 | John Playfair - 1826 - 326 σελίδες
...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 - 268 σελίδες
...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... | |
 | John Hind - 1837 - 586 σελίδες
...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 : .-.... | |
 | Euclides - 1840 - 82 σελίδες
...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... | |
 | Euclides - 1840 - 192 σελίδες
...To divide a given straight line (AB) 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. Upon AB construct the square ACDB ; bisect AC in E ; join EB, and produce CA towards F till EF... | |
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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. 
