| Royal college of surgeons of England - 1860
...right angle are together equal to the square described upon the side opposite to the right angle. 7. **If a straight line be bisected and produced to any...together with the square of half the line bisected,** shall be equal to the square of the straight line made up of the half and the part produced. 8. Divide... | |
| Euclides - 1860
...• DB = (BC + CD) (BC - CD), for BC + CD = AC + CD = AD, and BC- CD = DB. PROPOSITION VI. THEOBEM. **If a straight line be bisected, and produced to any...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... | |
| John Playfair - Euclid's Elements - 1860 - 317 pages
...difference, or that AC 2 —CD 2 =(AC+CD) (AC— • : CD)." SCHOLIUM. PROP. VI THEOR. 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... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...of the squares on AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION X. THEOREM. **If a straight line be bisected, and produced to any point, the** square en the whole line thus produced, and the square on the part of it produced, are together double... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860
...line, so that the sum of the squares on the given line and the part produced may be equal to twice **the rectangle contained by the whole line thus produced, and the part** produced. 8 If a point be taken within a circle from which there fall more than two equal straight... | |
| War office - 1861 - 12 pages
...line from a given point of the same, and show that two straight lines cannot have a common segment. 2. **If a straight line be bisected and produced to any...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
...by the square root of 12'7449. MATHEMATICS. Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. **If a straight line be bisected, and produced to any...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 - 1862
...squares on AC and CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 10.— THEOREM. **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... | |
| 1863
...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
...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... | |
| |