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" IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 43
por Euclides - 1814
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...line on one side of it, either are two right angles, or are together equal to two right angles. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...the side GL, and it has been proved that the angle GLM is equal to that of the given triangle. QEF 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...cases of sufficient importance to require separate and independent proofs.] PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangles contained...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...CB together with the square on B C. Therefore, if a straight line, etc. QED Proposition IV. Theorem. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...yards. N. 0 1 2 3 4 5 6 7 8 9 Dif. 1905 2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. If a straight line be divided into any two parts,...the square of the whole line is equal to the squares on the parts and to twice the rectangle contained by the parts. Write down the corresponding algebraical...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 páginas
...Proposition : The rectangle AB, AC = the rectangle AC, CB, together with the square on AC. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square on the whole lime is equal to the squares on the two parts, together with twice the rectangle contained...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...and one part may be twice the square on the other part. 4.Define a rectangle and a square. Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...AC, CB, together with the square on BC. Wherefore, if a straight line &c. QED PKOPOSITION 4. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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(Report).

Elizabethan club - 1880
...right-angled. Construct a right-angled triangle, having one of the angles at the base double of the other. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 páginas
...the right angle is equal to the squares described on the sides which contain the right angle. (vii.) If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice' *the rectangle contained...
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