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
| Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...have won by the same number of seconds. Compare A's speed with B's. (25.) Section B. — Geometry. 27. **If a straight line be bisected and produced to any point, the** rectangle contained by the whole line thus produced and the part produced, together with the square... | |
| Mary W I. Shilleto - 1882 - 418 pages
...the line. Show that (a+x) (a — x) + x'=a'2 is the algebraical expression of this proposition. 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... | |
| College of preceptors - 1882 - 528 pages
...necessary) of any pair of parallelograms about the other diameter of the said given parallelogram. 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... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...postulates. 2. Parallelograms on the same base, and between the same parallels are equal to one another. 3. **If a straight line be bisected, and produced to any point, the** squares of the whole line thus produced, and of the part of it produced, are together double of the... | |
| Marianne Nops - 1882 - 278 pages
...of section, is equal to the square on half the line. Reet. AD, DB and sq. on CD = sq. on CB. II. 6. **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... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...together with twice sq. on GF = twice sq. on AC together with twice sq. on CD. QED IB Cor. 1.47. 1.47. **PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the** irhole line thus produced and the square on the part of it produced are together double of the square... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the square on CD, is equal to the square on CB. Wherefore, if a straight line &c. QED 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... | |
| Joseph Hughes - Education - 1883 - 568 pages
...square on AC is equal to the squares on AB'BC and the rectangle contained by the sides CB-BA. QED 2. **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... | |
| Education - 1883 - 654 pages
...and rect AD'DB, Л twice the rect. AB'BD = sqs. on DB and DC, ie twice the rect. AB'BD = 1 QED В 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... | |
| Euclides - 1883 - 176 pages
...line between the points of section, equals the square on half the line. — (Eu. II. 5.) COR. 2. — **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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