| Henry Parr Hamilton - 1826 - 326 sider
...solutions. For example, if it be required to divide a given straight line into two such parts, that **the rectangle contained by the whole line and one of the parts,** shall be equal to the square of the other part; this problem is determinate. If on the other hand,... | |
| Robert Simson - 1827 - 513 sider
...straight line, 8cc. QED G PROP. VIII. THEOR. If a straight line he 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 straight line which is made... | |
| John Playfair - 1829 - 186 sider
...becomes ss = <zs + bs. PROPOSITION III. THEOREM. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts is equal to the** square of that part together with the rectangle contained by the two parts. Let the line AB be divided... | |
| John Playfair - 1832 - 333 sider
...III. THEOR. 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 two parts, together** ivith the square of the aforesaid part. Let the straight line AB be divided into two parts in the point... | |
| 1835 - 684 sider
...square of the whole une. PROP. 31. (Eue. ii. 3.) If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts,** shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
| Euclid - 1835 - 540 sider
...QED PROP. VIII. THEOR. JJ F E a 34. 1. 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 of t/ie other part, is equal to the square of the straight line which is made... | |
| 1836 - 472 sider
...of the difference of the lines. VIII. 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 of the other part, is equal to the square of the straight line which is made... | |
| Charles Reiner - 1837 - 254 sider
...a c. M.—Express this truth in words. P.—If a straight line be divided into any two parts, twice **the rectangle contained by the whole line and one of the parts is equal to** twice the square upon that part, together with twice the rectangle contained by the parts. M.—Two... | |
| Euclides - 1837 - 112 sider
...+ AC*. CBD 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 of the other part, is equal to the square of the line made up of the whole... | |
| Andrew Bell - 1837 - 240 sider
...square of AC. 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 of the other part, is equal to the square of the straight line which is made... | |
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