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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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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 sider
...the whole and on the other part by twice the rectangle contained by tlie whole and that other part. Let the straight line AB be divided into any two parts in C. Then shall the square on AC be less than the squares on AB and BC by twice the rectangle AB, BC....
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 sider
...parts of each metal ? Section B.—Geometry. 27. Prove that, 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 on the whole line. (15.) 28. Prove that, if two circles touch one another, their centres and the point...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 sider
...equal to BG. Also, BK=BG.BD = Proposition 2. Theorem.—If a straight line be divided into any two parts, the rectangles contained by the whole and each...the square of the whole line. Let the straight line AB'be divided into any two parts in the point C; then AB.AC+AB. CB = AB\ On AB describe (I. 41) the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...drawn through the four points CDEF. May 1877. 1. Prove that, 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 on the whole 2. Prove that if two circles touch one another, their line. centres and the point of contact...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...the several parts of the other.'] PROPOSITION II. THEOREM. 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 on the whole line. Let the sL line AB be divided into any two parts at C. Then rect. AB, BC together...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...be two straight lines, etc. QED Proposition II. Theorem. 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 on the whole line. Let the straight line AB be divided into any two parts in the point C. Then the...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 sider
...and the several parts of the divided line. 2. Prove that 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 on the whole line. Deduce from this that a square on a straight line is equal to four times the square...
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Papers for teachers

1880 - 594 sider
...parallelogram bisect them, the parallelogram is a rhombus. 2. 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 on the whole line. Give the corresponding result in algebra. 3. Euc. II. 9. Algebra. — i. A man paid...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...lines &c. QKD K L. H A PROPOSITION 2. THEOREM. If a straight line be divided into any two parts, flie rectangles contained by the whole and each of the parts, are together equal to the square on tJie whole line. Let the straight line AS be divided into any two parts at the point C: the rectangle...
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The Cambridge Examiner, Volum 3

1883 - 536 sider
...through the points of section to cut the circles are equal. 9. 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 on the whole line. 10. A segment of a circle being given, describe the circle of which it is a segment....
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