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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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...two straight lines, &c. QED PROPOSITION II. — THEOREM. If a straiglit 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 tJie whole line. LET the straight line ab be divided into any two parts in the point С ; the rectangle...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 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, together with twice the rectangle contained...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...(AB) be divided into any tico parts (А С, С В), the rectangles contained by tJie whole and eaeh of the parts, are together equal to the square of the whole line : that is, AB-AC-f- AB-BC =AB*. » 46 I. Upon AB describe the square AE,* and through С draw С F...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by tht whole and each of the parts, are together equal to...into any two parts in the point C ; the rectangle AB.BC, together with the rectangle AB.AC, is equal to the square of AB ; or AB.AC+AB.BC=AB 2 . On AB...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...a straight hne be divided into any two parts, the rectangles contained by the whole and each of its parts, are together equal to the square of the whole...the straight line AB be divided into any two parts at the point С. The rectangles contained by AB, B С and AB, AС are together equal to the square...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...triangle, and have one of its angles equal to a right angle. 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. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 sider
...and each of the parts, are together equal to the square of the whole line. c B Let the straight Ijne AB be divided into any two parts in the point C ; the rectangle AB.BC, together with the rectangle AB.AC, is equal to the square of AB ; or AB.AC + AB.BC=AB2. On AB...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...the following equations : (i) f+2.5^5 (3) 13 10 Euclid. 1. 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. 2. In equal circles, equal angles stand upon equal circumferences, whether they be at the centres or...
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National Society's Monthly Paper

1858
...equal to one another, and that the diagonal bisects it. 4. 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. 5. Describe a square that shall he equal to a given rectilineal figure. •6. When are circles said...
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