| Robert Simson - Trigonometry - 1775 - 534 pages
...a 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,...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
...if a 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,...part. Let the ftraight line AB be divided into any two** patts in the F* G LCB D M / L H / ic point C ; the fquares of AB, BC are equal to twice the ictingle... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...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 line AB be divided into any two parts in the point c ; then will the fquares of AB, EC, be equal... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...a 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... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...if a 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...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 in the Book point C; the... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...&c. QED L_ PROP. VII. THEOR. Book II. IF a straight line be divided into any two parts, the squares **of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the** square of the other part. Let the straight line AB be divided into any two parts in the point C ; the... | |
| John Mason Good - 1813 - 714 pages
...the part produced. Prop. 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...contained by the whole and that part, together with the** square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four... | |
| Euclides - 1816 - 588 pages
...straight line, &c. Q.. ED PROP. 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...contained by the Whole and that part, together with the** square of the other part. Let the straight line AB be divided into any two parts in A 5% .Gei" 4tS... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...straight line, &c. Q, ED PROP. 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...contained by the whole and that part, together with the** square of the other part. . Let the straight line AB be divided into any two parts in the point €... | |
| 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 divided into any two parto, four... | |
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