 | 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 - Geometry - 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 - 316 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 - 584 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... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 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... | |
 | 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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