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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...VII. THEOB. — 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...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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The elements of algebra

James Wood - 1845 - 287 páginas
...— Ex. !.. 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...the whole and that part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and b represent the two parts into which the given...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...THEOR. — If a straight line be divided into any two parts, the iquares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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Report of the Committee of Council on Education (England and Wales ..., Volumen2

Great Britain. Council on Education - 1845
...angle. 61. 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...the whole and that part, together with the square of the other part. 62. To divide a given straight line into two parts, so that the rectangle contained...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...into any two parts, the squares of the whole line, and of one of the parts, are equal to twice ihe rectangle contained by the whole and that part, together with the square of the other part. Let the straight line All be divided into any two parts in the point C. Then the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...7 . 2 Eu . 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...the whole and that part, together with the square of the other part. Let the str. line AB be divided into any two parts at the pt. C; then AB ! +BC«=2.AB.BC...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...7 . 2 Eu . 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...the whole and that part, together with the square of the other part. Let the str. line AB be divided into any two parts at the pt. C; then AB 8 +BC8=2.AB.BC...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...VII. 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...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point C : the squares...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 páginas
...VII. THEOR. •• If a straight line be divided into two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. L et the straight line AB be divided into any two parts in the point C ; the squares...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...VII. THEOREM. 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...the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times...
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