| Robert Simson - Trigonometry - 1775 - 520 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 - 520 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 - Electronic book - 1795 - 400 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 - 351 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
...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... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 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 - Euclid's Elements - 1806 - 311 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
...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
...<•! 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 - 528 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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