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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 figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 26
by Euclides - 1840
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...required. 1. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 2. Describe a square that shall be equal...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...polygon. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Produce a given line so that the rectangle...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares ou the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 1. Find the GCM of 24z* — 22x3 + 5 and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...triangle.) 5. If a straight line be divided into any two parts, the squares on the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. C. Prove that, if a straight line AD be...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 678 pages
...contained by these two sides is a right angle. 4. If a straight line be divided into any two parte, the squares of the whole line, and of one of the parts,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. What is the algebraical equivalent to this...
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John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878 - 146 pages
...the numbers. 7. If a straight line be divided into any two parts the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. 8. Express Propositions 5 and 6 Euclid, Bk....
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...Construct the figure ; and prove that one of the given triangles is equal to the sum of the other two. 6. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 7. Prove that a straight line cannot have...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...VII. Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let AB be divided into any two parts at...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...the other. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 4. If a point be taken within a circle,...
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