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 the square of the other part. Let the straight line AB be divided... The Elements of Geometry, Symbolically Arranged - Page 63by Great Britain. Admiralty - 1846Full view - About this book
| Robert Simson - Trigonometry - 1762 - 488 pages
...line, &c. Q^ED PROP. VII. 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...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
...ftraight line, &c. Q^ED PRO P. 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
...ftraight line, &c. D. PROP. 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...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... | |
| Robert Simson - Trigonometry - 1781 - 534 pages
...line, &c. Q^ ED PROP. 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** reftangle contained by the whole and that part, together with the fquare of the other part. A K CB... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...ftraight line, &o. Q^ED PROP. VII. THEO R. I Fa 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** redlangle contained by the whole and that part, together with the fquare of the other part. Let the... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...ftraight line, &.c. PROP. 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...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
...ftraight line, &c. Q^ED PROP. 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...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... | |
| John Playfair - Mathematics - 1806 - 320 pages
...CMG+LG=CF=CD2; therefore AD.DB+CB2 =CD2. Therefore, if a straight line, &c. QED L_ PROP. VII. THEOR. Book II. **IF a straight line be divided into any two parts,...together with the square of the other part. Let the** straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. **IF a straight line be divided into any two parts,...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... | |
| Euclid - Geometry - 1810 - 554 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, 8cc. QED PROP. VII. THEOR. **IF a straight line be divided into any two parts,...together with the square of the other part. Let the** straight line AB be divided into any two parts in ;he point C ; the squares of AB, BC *re equal to... | |
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