| Euclid, F. B. Harvey - 1880 - 119 pages
...between A and C, The squares on AD and DB together = double the squares on BC and CD. PROP. X. 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... | |
| Moffatt and Paige - 1881 - 1880 pages
...generally understood abbreviations for words may be used, but symbols of operations are not admissible.] 1. **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 - 1881
...square of half the given straight line. Prior. B. PHOIILEM.-- To produce a given straight line, so that **the rectangle contained by the whole line thus produced and the part** produced, shall be equal to a given squire. BOOK III. DEFINITIONS circles are those of which the diameters... | |
| College of preceptors - 1882
...necessary) of any pair of parallelograms about the other diameter of the said given parallelogram. 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, shall be equal to the square on the straight line made up of the half and... | |
| Great Britain. Education Department. Department of Science and Art - 1882
...have won by the same number of seconds. Compare A's speed with B's. (25.) Section B. — Geometry. 27. **If a straight line be bisected and produced to any...contained by the whole line thus produced and the part** produced, together with the square on halt the line bisected, is equal to the square on the straight... | |
| Education - 1882
...with the square on the line between the points of section, is equal to the square on half the line. 3. **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... | |
| Education, Higher - 1882
...described upon the other. two sides of it, the angles contained by these two sides is a right angle. 7. **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... | |
| Mary W I. Shilleto
...two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right angle. 3. **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 double... | |
| Marianne Nops - 1882
...the squares on the two lines. Sqq. on AD, DB = twice sqq. on AC, CD. Euclid's II. 9 and 10. II. 10. **If a straight line be bisected and produced to any point, the** square on the whole line thus produced, and that on the part produced, are double of the squares on... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...postulates. 2. Parallelograms on the same base, and between the same parallels are equal to one another. 3. **If a straight line be bisected, and produced to any point, the** squares of the whole line thus produced, and of the part of it produced, are together double of the... | |
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