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" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 89
by Robert Potts - 1860 - 361 pages
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...CD. PROPOSITION VI. THEOREM. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with t/1e square on half the line bisected, is equal to the square on the line which is made up of the half...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...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 up of the whole and that part. Let the straight line AB be divided into any two parts in the point C. Then four...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...contained by the whole line and one of the parts, together with the square on the other part, is eqtial to the square on the straight line which is made up of the whole and the first part. -A' & 'B -P JB JC JsjP Let the st. line AB be divided into any two parts...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 pages
...of those lines. Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...which is made up of the half and the part produced. 7.Define a rectangle and a gnomon. Prove that if a straight line be divided into any two parts, the...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...paper 2 • 7 feet wide ? 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...half the line bisected, is equal to the square on the line which is made up of the half and the part produced. 2. If two circles touch one another externally,...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...contained by the whole line thus produced, and the part produced, together with the square on half thé line bisected is equal to the square on the straight...which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference on the same base...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...difference. PROPOSITION 6. THEOREM. If a straight line "be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with tlie square on half the line bisected, is equal to the square on the straight line which is made up...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 up of the whole line and that part. Let AB be a straight line divided into any two parts in C. Then it is to...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...the base of the triangle. 9. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the...which is made up of the half and the part produced. 10. If two circles touch each other externally in any point, the straight line which joins their centres...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...operations are not admissible.] 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the...which is made up of the half and the part produced. 2. Given a straight line divided as in Proposition XI ; prove that the rectangle contained by the greater...
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