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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 180
edited by - 1870
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...line, &c. Q^ED PROP. VII. 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...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 - Trigonometry - 1775 - 520 pages
...ftraight line, &c. Q^ED PRO P. 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. "JjJ the ftraight line AB be divided...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...ftraight line, &c. D. PROP. 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...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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The Elements of Euclid

Euclid, Robert Simson - Geometry - 1781 - 466 pages
...line, &c. Q^ ED PROP. 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 reftangle contained by the whole and that part, together with the fquare of the other part. A K CB...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...ftraight line, &o. Q^ED PROP. VII. THEO R. I Fa 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 redlangle contained by the whole and that part, together with the fquare of the other part. Let the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...ftraight line, &.c. PROP. 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...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 - Trigonometry - 1804
...ftraight line, &c. Q^ED PROP. 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...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...AD.DB+CB2 =CD2. Therefore, if a straight line, &c. QED L_ PROP. VII. THEOR. Book II. IF a straight line be divided into any two parts, the squares of...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...equal to the square of CD. Wherefore, if a straight line, 8cc. QED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of...part, together with the square of the other part. Let the straight line AB be divided into any two parts in ;he point C ; the squares of AB, BC *re equal...
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