 | 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 - Mathematics - 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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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... 
