| Euclides - 1860 - 288 pages
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, **is equal to the square on the straight line, which is made up of** AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square... | |
| Royal college of surgeons of England - 1860 - 332 pages
...made up of the half and the part produced. 8. Divide a given straight line into two parts, such that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY,... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that **the rectangle contained by the whole line and one of the parts,** shall be equal to the square on the other part. FG it Upon AB describe the square A CDB ; (l. 46.)... | |
| James Elliot - 1860 - 252 pages
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that **the rectangle contained by the whole line and one of the parts** is equal to the square of the other part, compute the lengths of the two parts. Ans. Ła ( V 5 —... | |
| War office - 1861 - 260 pages
...line thus produced and the part of it produced, together •with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. 3. In a circle the angle in a semicircle is a right angle, but the angle... | |
| Robert Fowler - 1861 - 426 pages
...&c. &c. according to the explanations in p. 7. 5. Divide a line а feet long into two parts, so that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. Let x = the length of the greater part, in feet. .... | |
| Euclides - 1862 - 140 pages
...line thus produced, ana, the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis.... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. 10. If a straight line be divided into two equal, and also into two unequal... | |
| Euclides - 1863 - 122 pages
...straight line (AB) be divided into ang two parts (at C), Jour times the rectangle (AB, BC) contained bg **the whole line, and one of the parts, together with the square** of the other part (AC), is equal to the square of the straigh t line (AD), which is made up of the... | |
| Euclides - 1864 - 448 pages
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that **the rectangle contained by the whole line and one of the parts,** shall be equal to the square on the other part. c KD Upon AB describe the square A CSB; (i. 46.) bisect... | |
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