| Robert Simson - Trigonometry - 1762 - 466 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 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... | |
| Robert Simson - Trigonometry - 1775 - 520 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 - 540 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 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... | |
| Robert Simson - Trigonometry - 1781 - 466 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... | |
| John Playfair - Euclid's Elements - 1795 - 444 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 - 351 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 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... | |
| Robert Simson - Trigonometry - 1804
...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 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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...together with the 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...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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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,...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 into... | |
| John Mason Good - 1813
...bisected, is equal to the square of the «traight line which U made up of the half and the part produced. **Prop. VII. Theor. If a straight line be divided into...equal to twice the rectangle contained by the whole** and that part, together with the square of the other part. Prop. VIII. Theor. If a straight line be... | |
| |