| Robert Potts - 1863 - 482 pages
...side of the ground and back to the other post: determine the shortest course for him to pursue. 5. **If a straight line be bisected and produced to any...rectangle contained by the whole line thus produced,** ond the part of it produced, together with the square of half the line bisected, is equal to the square... | |
| Euclides - 1863 - 122 pages
...straight line (AB) be bisected (at G), and produced to ang point (D). the rectangle (AD. DB) contained bg **the whole line thus produced, and the part of it produced, together with the square** of (CB) half the line bisected, is equal to the square of the straight line (CD) which is made up of... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 9. **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... | |
| Henry White - 1864 - 156 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...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 made up of the half... | |
| Euclides - 1864 - 262 pages
...rectangle PF. PC may be equal to the rectangle PD. PA. 164. To produce a given straight line, so that **the rectangle contained by the whole line thus produced, and the part of it produced,** shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one... | |
| Euclides - 1864 - 448 pages
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that **the rectangle contained by the whole line thus produced, and the part of it produced,** shall be equal to a given square. 165. Two straight lines stand at right angles to each other, one... | |
| 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... | |
| Euclides - 1865 - 402 pages
...double of the square on half the line, and of the square on the intermediate part ......... 1.9. 4. **If a straight line be bisected and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| 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...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 made up of the half... | |
| John Playfair - Geometry - 1855 - 358 pages
...is equivalent *o tht difference of their squaret / E 7, Jl E & I PROP. VI THEOR. If a straight tine **be bisected, and produced to any point ; the rectangle...produced, and the part of it produced, together with** th» square of half the line bisected, is equal to the square of the straight line which is made up... | |
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