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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 ratio between diameter and circumference in a circle demonstrated by ... - Page 22
by James Smith - 1870
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 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 - Mathematics - 1806 - 320 pages
...straight lines, &c. QED Book II. PROP. II. THEOR. IF a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...there be two straight lines, &c. QED PROP. II. THEOR. IF a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. 46. 1. Let the straight line AB be divided into any two parts in the point C ; the rectangle contained...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...several parts of the divided line. Prop. II. Theor. If a straight line be divided īnto any two parts, the rectangles contained by the whole and each of...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 - 588 pages
...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 of...are together equal to the square of the whole line. Let the straight line AB be divided A into any two parts in the point C ; the " rectangle contained...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...there be two straight lines, &c. QED PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...line. , Prop. 1 1. Theor. If a straight line be divided into any two parts, the rectangles contained hy the whole and each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. The same by Algebra, Let a equal the line AB, and suppose it divided into any two parts e,f; then shall...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. The same by Algebra. Let a equal the line AB, and suppose it divided into any two parts e,f; then shall...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...THEOR. If a straight line be divided into any two parts, the reetangles eontained by the whole and eaeh of the parts, are together equal to the square of the whole line. Let the straight line ABhe divided into any two parts in the point C ; the reetansilp AB BC, together...
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