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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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 53
by Euclid, James Thomson - 1837 - 390 pages
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...equal to the squares of the two other sides, the angles contained by those sides is a right angle. 4. If a straight line be divided into any two parts,...squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...from D, the middle point of BC, DE is drawn perpendicular to AS: shew that BE is, one-fourth of AB. 5. If a straight line be divided into any two parts, the squares on the whole line and one of the parts, shall be together equal to twice the rectangle contained by...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...to the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. If a straight line be divided into any two parts,...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...to one anoiher. If one of the complements be a square, the parallelogram will also be a square. 4. If a straight line be divided into any two parts,...part, together with the square of the other part. State this result algebraically. 5. One circle cannot touch another in more points than one, whether...
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National Society's Monthly Paper

1856 - 376 pages
...anle. . o rag ne o appy a paraeogra have one of its angles equal to a given rectilineal angle. and 2. If a straight line be divided into any two parts,...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...BC and BD together with twice the rectangle BC, BD ; that is (Prop. 49.), to the square of C D. LII. If a straight line be divided into any two parts,...squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and that part together with the square of the...
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Middle-class education. 2

Middle-class education - 1857 - 70 pages
...proposition true of the angles of a triangle ? Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts,...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight...
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The elements of algebra

James Wood - 1857 - 634 pages
...Theory, for our present purpose: — Ex. 1. If a straight line be divided into any ttvo parts, ike squares of the whole line, and of one of the parts,...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and 6 represent the two parts into which the given line is divided;...
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858 - 270 pages
...proposition true of the angles of a triangle? Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts,...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...quantity supplied only filled 152 sacks. How many sacks was the contractor bound to supply ? Euclid. 1. If a straight line be divided into any two parts,...part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the signs and extreme...
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