| Geometry - 1879 - 36 pages
...Divide a straight line into two parts so that the sum of their squares may be the least possible. 10. **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... | |
| Euclides - 1879
...EC, and the diagonal of a square described on BE, will contain a right angle. PROPOSITION 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... | |
| Edward Harri Mathews - 1879
...opposite sides in A1, B', C1 respectively ; prove that the triangles ABlCl, BC1A\ CAlBl are all equal. 2. **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... | |
| Great Britain. Civil Service Commission - 1879
...square equal to the sum of the other two, and that the triangles PAD, DCN, are equal in all respects. o. **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... | |
| higginbotham and co - 1879
...straight line which is made up of the half and the part produced. V. Produce a given straight Hue so that **the rectangle contained by the whole line thus produced and the part** produced may be equal to a given square. VI. If from a point without a circle there be drawn two-straight... | |
| Moffatt and Paige - 1879
...are double of the squares on AC, C D. Therefore, if a straight line, etc. QED Proposition X. Theorem. **If a straight line be bisected and produced to any point, the** squares on the whole line thus produced and on the part of it produced are together double of the square... | |
| Pupil teachers - 1880
...lines is equal to the rectangle contained by the sum and difference of those lines. Prove it. 6.If **a straight line be bisected and produced to any point,...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... | |
| Woolwich roy. military acad - 1880
...to construct a straight line, the square on which shall be any given multiple of a given square. 4. **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 half thé line bisected is equal to the square on the straight... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...are double of the squares on AC, CD. Wherefore, 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... | |
| Sandhurst roy. military coll - 1880
...measure 277£ cubic inches, find the rate at which the surface of the water rises in the reservoir. 1. **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... | |
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