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 Euclid - Page 36by Euclid - 1838 - 416 pagesFull view - About this book
| 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 - 520 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... | |
| Euclid, John Playfair - Electronic book - 1795 - 400 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...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
...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 Mason Good - 1813
...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 any two parts, the...part, together with the square of the other part.** Prop. VIII. Theor. If a straight line be divided into any two parts, four times the rectangle contained... | |
| John Playfair - 1819 - 317 pages
...DB + CBa=C/D3. Therefore, if a straight line, &c. Q, ED PffP. VII. T If a straight line be-cKvided **into any two parts, the squares of the whole line,...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... | |
| John Mason Good - 1819
...square of the straight line which is made up of the half and. the part produced. Prop. VII. Theor. If **a straight line be divided into any two parts, the squares of the whole line,** ajid of one of the parts, are equal to twice the rectangle contained by the whole and that part, together... | |
| Euclides - 1821
...together with the D 5 of the line drawn to base is = to the square of the side. PROP. 7, THEOR. Mf a right **line be divided into any two parts, the squares of the whole line and** either segment are: equal to double the rectangle under the whole line and that segment, together with... | |
| Euclid - 1822 - 179 pages
...to the base, equal to the square of the side (2). PROP. VII. THEOR. * Fig. is. If a right line (AB) **be divided into any two parts, the squares of the whole line** ( AB) and either segment (CB) are together equal to double the rectangle under the whole and that segment,... | |
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