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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... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 41
autor: Euclides - 1834
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - Liczba stron: 520
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - Liczba stron: 520
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - Liczba stron: 400
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - Liczba stron: 351
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - Liczba stron: 440
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - Liczba stron: 311
...-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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

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...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Tom 2

Charles Butler - 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - Liczba stron: 528
...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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