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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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...A-BD, A-DE, and A-EC. Wherefore, if there be two straight lines, &c. QED PROP. II. THEOR. '0 pa angles contained by the whole and each of the parts, are together equal to the iquare of the whole tine. Let the straight line AB be divided into any two parts in the point C : the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...c, and d ; then, A(6+e+d)=A6-(-Ac-(-A<2. PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. F c B Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC,...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...if there be two straight lines, &c. QE D, PROP. II. THEOK IK a straight line be divided into any two parts, the rectangles contained by the whole and each...parts, are together equal to the square of the whole fine. Let the straight line AB be divided into any two parts in the point c ; the rectangle contained...
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The British Annals of Education for ...: Being The Scholastic ..., Volumer 1-2

1844
...parallel. 5. Describe a square upon a given straight line. 6. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 7. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; four times the rectangle AB.BC, and the square of AC, are equal to the square of the lme made up...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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. Then the square of AB shall be equal to the squares of AC, and CB, together with twice the rectangle...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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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