| Euclides - 1841 - 351 sider
...the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. Iff a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
| John Playfair - 1842 - 317 sider
...derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and the... | |
| Euclides - 1842
...with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. IF a straight line be **divided into any two parts : four times the rectangle...line, and one of the parts, together with the square** of the other part, is equivalent to the square of the straight line, which is made up of the whole... | |
| Scotland free church, gen. assembly - 1847
...other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... | |
| Euclid - 1845 - 199 sider
...square of AC. Wherefore, if a 'straight line, &c. QED PROPOSITION VIII. THEOR. — If a straight line be **divided into any two parts, four times the rectangle...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 of the whole and that... | |
| Euclides - 1845
...PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the reel" angle **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 up of the whole and that... | |
| Euclid, James Thomson - 1845 - 352 sider
...difference, together with four tunes their rectangle. PROP. VIII. THEOR. — If a straight line be **divided into any two parts, four times the rectangle contained by the whole** and one of the parts, together with the square of the other part, is equal to the square of the straight... | |
| John Playfair - 1846 - 317 sider
...derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and the... | |
| Euclides - 1848
...and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...the squares of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. If a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
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