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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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 48
av Robert Simson - 1762 - 466 sider
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The elements of algebra

James Wood - 1845 - 442 sider
...for our present purpose: — 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...contained by 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...
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Report of the Committee of Council on Education (England and Wales ..., Volum 2

Great Britain. Council on Education - 1845 - 696 sider
...these two sides is a right 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...contained by 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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...line, &c. QED PROPOSITION 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 ihe rectangle contained by the whole and that part, together with the square of the other part. Let...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...(2a+b)b+a8=(a+b)8. PROP. XLVI. THEOR. 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...contained by 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...=(a+b) s . PROP. XLVI. THEOR. 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...contained by 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...i(2a+6)+o2=(a+i)2. PROP. 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...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 ;...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...straight line %c. QED PROP. 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...contained by 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...the part produced. PROP. 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...contained by 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...
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Report of the Committee of Council on Education (England and Wales ..., Utgave 2

Great Britain. Council on Education - 1848 - 596 sider
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. •>. If two circles cut each other,...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 sider
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 2. If two circles cut each other, they...
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