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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... "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 90
των Euclides - 1864
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...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...

The elements of algebra

James Wood - 1845 - 442 σελίδες
...— 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...

Report of the Committee of Council on Education (England and Wales ..., Τόμος 2

Great Britain. Council on Education - 1845 - 696 σελίδες
...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...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 σελίδες
...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...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 σελίδες
...the rectangle contained by 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 of AB, BC, ar.e equal to twice the rectangle AB.BC, together with the square of AC, or...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...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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