 | Robert Simson - Trigonometry - 1775 - 534 pages
...c Cot. 4. i, H M PRO P. VI. THEO R. TF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together witlx the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is... | |
 | Euclid - 1781 - 552 pages
...A 4J. t. Book IL PRO P. VI. THEO R. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...31. i. c 36. ». * 43. i. IF a ftraight line be bifefted, and produced to any point ; the reftangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half the line bife&ed, is equal to the fquare of the ftraight line which is made up of the... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...and difference DB. PROP. VI. THEOR. IF a ftraight line be bife&ed, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifefted, is equal to the fquare of the ftraight line which is made up of... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...43. l. e. Cor. 4. 2, PROP. VI. THEOR. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...36. i. * 43- i. PRO P. VI. THEO R. IF a ftraight line be bifec"led, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half the line bifefted, is equal to the fquare of the ftraight line which is made up of the... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...-CD2=AC+CD. AC— CD." ' / PROP. VI. THEOR. IF a straight line be bisected, and produced to any ^ point, the rectangle contained by the whole line thus produced...together with the square of half the line bisected, are equal to the square of the straight line which is made up of the half and the part produced. Let... | |
 | John Mason Good - 1813 - 714 pages
...square of half the line. Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced,...half the line 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... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...<•! a + xx + aa=(aa + %ax+xx=) a+xf; that is, the rectangle contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QKD Cor. Hence, if three lines ,r, a 4 ,r, and 2rt + ,r... | |
 | Euclides - 1816 - 588 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C; four times... | |
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If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is... 
