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... Elements of geometry, based on Euclid, books i-iii - Side 69av Edward Atkins - 1876 - 119 siderUten tilgangsbegrensning - Om denne boken
| College of preceptors - 1882 - 528 sider
...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... | |
| Marianne Nops - 1882 - 278 sider
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...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... | |
| Mary W I. Shilleto - 1882 - 418 sider
...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... | |
| Great Britain. Education Department. Department of Science and Art - 1882 - 510 sider
...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... | |
| Euclides, James Hamblin Smith - 1883 - 376 sider
...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 - 1883 - 428 sider
...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... | |
| 1883 - 654 sider
...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 sider
...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... | |
| Joseph Hughes - 1883 - 568 sider
...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... | |
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