| Euclides - 1814 - 560 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...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... | |
| Euclides - 1816 - 588 pages
...together with the square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. Q.. ED 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. Let the straight line AB be divided into... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...CMG+ LG= CF = CD3 , therefore AD. DB + CB3 = CD3. Therefore, • "" "" " if a straight line, &c. Q, ED 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. . Let the straight line AB be divided into... | |
| John Playfair - 1819 - 354 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 - 800 pages
...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 with the square of the other part. Prop. \ III. Theor. If a straight line be... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...with the square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. Q. £. JO. 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. Let the straight line AB be divided into... | |
| John Playfair - Geometry - 1829 - 210 pages
...divided into any two parts AC, CB, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole...that part together with the square of the other part. That is, ABa + BO « 2 AB . BC + AC3, by adding 2AB . BC to the two equals in the prop. CoR. 2. Hence,... | |
| Euclides - 1834 - 518 pages
...the square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROPOSITION 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. Let the straight line AB be divided into... | |
| Euclid - 1835 - 540 pages
...together with the square of CB, is equal to the square of CD. Wherefore, " if a straigtd 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 the square of the other part. Let the straight line AB be divided into... | |
| John Playfair - Geometry - 1836 - 148 pages
...in H, so that the rectangle AB, BH is equal to the square of AH. Which was to be done. E PROP. XXV. THEOR. If a straight line be divided into any two...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... | |
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