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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 154
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...line, etc. QED Proposition VIII. Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - Liczba stron: 36
...never less than twice their rectangle. 8. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If the solution is obtained by a quadratic equation and one...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - Liczba stron: 400
...straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which u made...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - Liczba stron: 119
...the square on BC. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...the two parts increased by twice the rectangle contained by the two parts. 6. Show how to divide a straight line into two parts such that the rectangle contained by the whole line and one part shall be equal to the square described upon the other part. Prove the construction. 7. Define...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given straight line into two parts such that the rectangle contained by the whole and one part may be equal to the square on the other part. 6. In an isosceles triangle ABC, prove that...
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Class lessons on Euclid

Marianne Nops - 1882
...(I. 47). Prop. XI., the first problem in the book is 'To divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts is equal to the square on the other.' Adopting the method of analysis we will assume that the point...
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