 | Robert Simson - Trigonometry - 1762 - 488 pages
...THEOR. TF a ftraight line be divided into any two- parts, rhe •*, fquares of the whole line, and of one of the parts are equal to twice the rectangle...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two parts in the D B E point... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...VII. THEO R. TF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole arid that part, together with the fquare of the other part. "Jj«J the ftraight line AB be divided... | |
 | Euclid - 1781 - 552 pages
...VII. TIIEOR. IF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are equal to twice the rectangle...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two patts in the F* G LCB D... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...half the line. PRO P. PROP. XII. THEOREM. If a right line be divided into any two parts, the fquares of the whole line, and one of the parts, are equal to twice the redtangle of the whole line and that part, together with the fquare of the other part. Let the right... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...VII. THEOR. IF a ftiaight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are equal to twice the rectangle...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two parts in the point C ; the... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...VII. THEOR. IF a ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts are equal to twice the rectangle...contained by the whole and that part, together with the fquare of the other part. 7 t H K / '-£ II. 1. Let the ftraight line AB be divided into any two parts... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...VII. THEOR. IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...contained by the whole and that part, together with tbe square of the other part. Let the straight line AB be divided into any two parts in the point C... | |
 | John Playfair - 1819 - 354 pages
...PffP. VII. T If a straight line be-cKvided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...VII. Theorem. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. i> K Proved by showing that AB* + uc*... | |
 | Euclides - 1840 - 82 pages
...VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line... | |
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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... 
