 | Royal college of surgeons of England - 1860 - 332 pages
...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 - 288 pages
...• 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 - Geometry - 1860 - 334 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 - 380 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 - 612 pages
...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 - 714 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 - 260 pages
...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 - 140 pages
...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... | |
 | 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 the... | |
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Prove it. 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 -square on half the line bisected, is equal to the square on the straight line... 
