 | University of Madras - 1879 - 674 pages
...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 - 506 pages
...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... | |
 | Euclides - 1879 - 146 pages
...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 - 94 pages
...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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...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... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...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 - 528 pages
...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...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 the part produced. 5. To... | |
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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 of half the line bisected, is equal to the square of the straight line which is made... 
