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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided...
Papers Read at the Royal Institute of British Architects - Página 9
1863
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 páginas
...THEOR. TF a ftraight line be divided into any two- parts, rhe •*, fquares 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 fquare of the other part. Let the ftraight line AB be divided into any two parts in the D B E point...
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## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 páginas
...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, are 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...
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## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 páginas
...VII. TIIEOR. IF a 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 rectangle...contained by the whole and that part, together with the fquare of the other part. Let the ftraight line AB be divided into any two patts in the F* G LCB D...
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## Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 páginas
...half the line. PRO P. PROP. XII. THEOREM. If a right line be divided into any two parts, the 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...
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## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 páginas
...VII. THEOR. IF a ftiaight line be divided into any two parts, the fquares 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 fquare of the other part. Let the ftraight line AB be divided into any two parts in the point C ; the...
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## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 páginas
...VII. THEOR. IF a 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 rectangle...contained by the whole and that 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...
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...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 to twice the rectangle...contained by the whole and that part, together with tbe square of the other part. Let the straight line AB be divided into any two parts in the point C...
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## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...PffP. VII. T If a straight line be-cKvided 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 andfthat part, together with the square of the other part. i Let the straight line AB be divided into...
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## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...VII. Theorem. 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 line and that part, together with the square of the other part. i> K Proved by showing that AB* + uc*...
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 páginas
...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 to twice the rectangle contained by the whole line and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line...
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