| War office - 1861 - 12 pages
...cannot have a common segment. 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 square** of half the line bisected, is equal to the square of the line which is made up of the half and part... | |
| Euclides - 1861
...of it produced, together with the square of half the line bisd., is equal to the square of the st. **line which is made up of the half and the part produced.** El- Hyp. 1 2 „ 2 Cone. Let D be any • without © ABC; and DCA, DB two st. lines from • D, of... | |
| Euclides - 1862
...PROP. VI.— 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 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 - 1862
...rectangle contained by the whole line and one of the parts, together with the square on the other part, **is equal to the square on the straight line which is made up of the** whole line and the first mentioned part. (References— Prop. I. 3, 31, 34, 36, 43, 46; II. 4. cor.)... | |
| University of Oxford - Education, Higher - 1863
...contain the right angle. 8. 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 made up of the half... | |
| Euclides - 1863
...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... | |
| Henry White - 1864
...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 square** of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Euclides - 1864
...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
...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... | |
| Euclides - 1865
...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 with the square** of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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