 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 109by Euclides - 1879Full view - About this book
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 1868 - 874 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... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 198 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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