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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 50
door John Playfair - 1856 - 318 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...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 - 520 pagina’s
...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 - 520 pagina’s
...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 - 272 pagina’s
...equal to the fquares of the two parts, together with twice the rectangle of thofe parts. Let the right line AB be divided into any two parts in the point c ; then will the fquare of AB be equal to the fquares of AC, CB together with twice the re£tangle of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pagina’s
...fquare of the ftraight line which is made up of the whole and the firft mentioned part. Let the ftraight line AB be divided into any two parts in the point C ; four times the reftangle AB, BC, together with the fquare of AC, is equal to the fquare of the ftraight...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pagina’s
...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
...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: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...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 - 1806 - 311 pagina’s
...is equal to the squares of the two parts together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pagina’s
...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...straight line AB be divided into any two parts in ;he point C ; the squares of AB, BC *re equal to twice the rect- Book II. ingle AB, BC, together with...
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