| Euclides - 1840 - 82 pages
...and the produced part. .n. . PROP. XI. 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... | |
| Euclides - 1841 - 378 pages
...AB, BC, together with 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...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 - 1842 - 320 pages
...rectangle AB, BC, together 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 :...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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. **If a straight line be divided into any two parts,...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... | |
| Scotland free church, gen. assembly - 1847 - 552 pages
...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 - Geometry - 1845 - 218 pages
...together with the square of AC. Wherefore, if a 'straight line, &c. QED PROPOSITION VIII. THEOR. — **If a straight line be divided into any two parts,...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... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...to the square of their 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... | |
| Euclides - 1845 - 544 pages
...BC, together with the square of AC. Wherefore, if a straight line, &c. QED 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. **If a straight line be divided into any two parts,...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 - 52 pages
...contained by the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. **If a straight line be divided into any two parts,...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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