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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 ... - Side 38
av Euclides - 1834
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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...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: With a ...

John Playfair - 1819 - 317 sider
...twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together with the square of AC, or AB3+BC3=2AB.BC+AC3....
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...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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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...be two straight lines, &c. QED Proposition II. Theorem. 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 into any two parts in the point...
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## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...of AB. 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...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

Euclid - 1826 - 180 sider
...of AB. 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...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 ...

John Playfair - 1826 - 320 sider
...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 with the reet- . „...
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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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 shall be equal to the squares of AC, CB, together with twice the rectangle contained...
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## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...lines. If a straight line be divided into any two parts, the two rectangles contained by the whole line and each of the parts are together equal to the square of the whole line. ..If a straight line be divided into any two parts, the rectangle contained by the whole line and one...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...if 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 the parts, are together equal to the square of tlte whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle...
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