| Euclides - 1855 - 262 sider
...THEO КЕМ. If a straight line be divided into any two parts, the rectangle contained by the inhale **and one of the parts is equal to the rectangle contained by the two parts, together** toith the square oftheforesaidpart. Let the straight line AB be divided into any two parts at the point... | |
| John Playfair - 1855 - 340 sider
...III. THEOR. If a straight line be divided into any two parts, the rectangle contained by ttie whole **and one of the parts, is equal to the rectangle contained by** the twtt parts, together with the square of the aforesaid part. Let the straight line AB be divided... | |
| Great Britain. Committee on Education - 1855 - 976 sider
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice **the rectangle contained by the whole line and one of the parts,** together with the square of the other part. 5. To construct a square equal to a given rectangle. 6.... | |
| Euclides - 1858 - 248 sider
...the com. dif. being 160. PROP. 8. — THEOR. If a st. line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts** together with the square of the other part, is equal to the square of the st. line which is made up... | |
| War office - 1858 - 578 sider
...rectangles contained by the parts become ? 4. Divide a given straight line 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. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
| Sandhurst roy. military coll - 1859 - 672 sider
...take. Euclid. 1. If a straight line be divided into any two parts, the rectangle contained by the whole **and one of the parts, is equal to the rectangle contained by** the parts, together with the square of the aforesaid part. the straight line intercepted between the... | |
| James Elliot - 1860 - 252 sider
...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. £a ( V 5 — 1) and £a (3 —... | |
| Royal college of surgeons of England - 1860 - 336 sider
...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 - 1860 - 380 sider
...line, &c. QED PROPOSITION VIII. THEOREM. ' If a straight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the square on the other part, is equal to the square on the straight line, which u made... | |
| Robert Fowler - 1861 - 426 sider
...&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. .... | |
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