| John Playfair - Geometry - 1860 - 334 pages
...Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line that produced, and the part of it produced, together with the square of half the tine bisected, is equal to the square of the straight line which is made up of the half and the part... | |
| War office - 1861 - 714 pages
...lines 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...half the line bisected, is equal to the square of the line which is made up of the half and part produced. VOLUNTARY PORTION. 1. Inscribe an equilateral... | |
| War office - 1861 - 260 pages
...WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced...the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half... | |
| Euclides - 1861 - 464 pages
...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 - 172 pages
...divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part. (References — Prop. i. 3, 31, 34, 36, 43, 46 ; n. 4, Cor.) Let the straight... | |
| Euclides - 1862 - 140 pages
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB... | |
| Robert Potts - 1863 - 482 pages
...be bisected and produced to any point ; the rectangle contained by the whole line thus produced, ond the part of it produced, together with the square...line bisected, is equal to the square of the straight lino which is made up of the half and the part produced. 6. Upon a given straight line to describe... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...parallels, are equal to one another. 7. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced,...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half... | |
| 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 the... | |
| Henry White - 1864 - 156 pages
...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,...which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer... | |
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