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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... "
Elements of Plane Geometry According to Euclid - Page 44
by Andrew Bell - 1837 - 240 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...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 - Trigonometry - 1775 - 520 pages
...the whole and each of the parts, are together equal to the fquare of the whole line. Let the ftraight line AB be divided into** any two parts in the point C ; the rectangle contained by AB, BC, together with the reclangle* AB, AC, fhall be equal to the fquare of...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...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 - Euclid's Elements - 1789 - 272 pages
...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 reŁtangle of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...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 - Trigonometry - 1799 - 351 pages
...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 - Trigonometry - 1804
...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 / '-Ł 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 - Trigonometry - 1806 - 518 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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 - Geometry - 1810 - 518 pages
...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...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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