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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... "
Report of the Committee of Council on Education (England and Wales), with ... - Page 478
by Great Britain. Council on Education - 1848
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 pages
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 pages
...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 pages
...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...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 pages
...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 pages
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 pages
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pages
...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 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 into...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 the square of the other part. Prop. VIII. Theor. If a straight line be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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 the square of the other part. Let the straight line AB be divided into...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pages
...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 the square of the other part. . Let the straight line AB be divided into...
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