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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 of half the line bisected, is equal to the square of the straight line, which is... "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 109
by Euclides - 1879
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...be the line so divided in the points C and Dj (fig. Euc-. n. 5) shew that A IP = 4.CD'i 4.AD.DB. 9. If a straight line be bisected and produced to any point, the square on the whole line when thus produced, is equal to the square on the part produced and four times the rectangle contained...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...unequal lines AC, CD, is equal to the rectangle contained by their sum and difference. PROP. VL— THEOREM. If a straight line be bisected, and produced to any point ; then the rectangle contained by the whole line thus produced, and the part of it produced, together...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - 270 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight lines AC, CD, is equal to the rectangle contained by their sum and difference. M 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 the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight lines AC, CD, is equal to the rectangle contained by their sum and difference. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, the rectangle cjntained by the whole line thus produced, and the part of it produced, together with the...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 10. 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...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 334 pages
...angles of a triangle can in no case exceed two right angles. 4. Give two proofs of Eucl. I. 47. 5. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...coefficient of of ( 1 — as) in the expansion of - — — — , prove Cr=BJ.-B,._1. (1—3?)" 9. 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...
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Annual Report

1868 - 876 pages
...the right angle is equal to the squares described upon the sides which contain the right angle 20 4. 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...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. 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...
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