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" IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 38
by Euclides - 1834
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...ftraight lines, &c. ~ D. a 46. i. b 3i. i. PROP. II. THEO R. TF a ftraight line be divided into any two parts, the rectangles contained by 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 ;...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...equal to the fquare of the ftraight line which is made up ot the whole and that part. Let the ftraight line AB be divided into any two parts in the point C ; four times the rectangle AB, BC, together with the Iquare of AC, is equal to the fquare of the ftraight...
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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 re£tangle 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
...there be two ftraight lines, &c. Q^ ED PROP. II. THEOR. IF a ftraight line be divided into any two parts, the rectangles contained by 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 A. CB any two parts in the point...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...if there be two ttraight lines, &c. Q^ED PROP. II. THEOR. IF a ftraight line be divided into any two parts, the rectangles contained by 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 A any two parts in the point C ;...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...lines, &c. Q^ED ' ' ' PROP. II. THE OR. IF a ftraight line be divided into any two parts, the reftangles contained by 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;...
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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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...the several parts of the divided line. Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. Prop. III. Theor. If a straight line be divided into any two parts, the rectangle contained by the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...if there be two straight lines, &c. QED PROP. II. THEOR. Ira. straight line be divided into any two parts, the rectangles contained by the whole and each...the whole line. Let the straight line AB be divided A into any two parts in the point C ; the " rectangle contained by AB, BC, together with the rectangle*AB,...
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