| Education - 1883
...and rect AD'DB, Л twice the rect. AB'BD = sqs. on DB and DC, ie twice the rect. AB'BD = 1 QED В 3- **If a straight line be bisected, and produced to any...the part of it produced, together with the square** on half the line bisect e3, is equal to the square on the straight line which is made up of the half... | |
| James Hamblin Smith - 1883
...J> 2 B. £ L PROPOSITION VI. THEOREM. If a straight line ie bisected and produced to any point, thc **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 ichich is inade up of the half... | |
| Joseph Hughes - Education - 1883
...the sq. on D is less than the sq. on AB by three limes the sq. on half cl.e line bisected. QED •V **If a straight line be bisected, and produced to any point, the** square on the whole line thus produced, and the square of the part of it produced, are together double... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...squares on AD, DB are double of the squares on AC, CD. EUCLID'S ELEMENTS, 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... | |
| EUCLID. - 1883 - 96 pages
...the difference of its distances from two fixed lines being constant. 12. Produce a given line so that **the rectangle contained by the whole line thus produced and the part** produced shall be equal to the square on the given line. 13. If the square on the perpendicular from... | |
| Woolwich roy. military acad - 1884
...quadrilateral are together equal to those on the second and fourth, the diagonals intersect at right angles. 4. **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... | |
| F. B. Stevens - Examinations - 1884 - 175 pages
...5.] 1 . At a given point in a given straight line to construct ail angle equal to a given angle. 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... | |
| Dalhousie University - 1884
...employ in proving the three main properties of parallel straight lines : and thereafter prove them. 2. " **If a straight line be bisected and produced to any point, the rectangle** of the whole line thus produced and the part produced," etc. Complete the emmtiatioii, prove the proposition,... | |
| Stewart W. and co - 1884
...and DF is equal to DB ; therefore the squares of AD, DB are double of the squares of AC, CD. X. — **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 twice... | |
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