 PROP. X. THEOR. 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 of the square of half the line bisected, and of the square of the line...  Annual Report - Page 741868Full view - About this book
 | 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... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...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, Higher - 1882 - 498 pages
...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... | |
 | Marianne Nops - 1882 - 278 pages
...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.) - Examinations - 1882 - 152 pages
...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... | |
 | College of preceptors - 1882 - 528 pages
...shall be equal to a given triangle and shall have one of its angles equal to a given rectilineal angle. 4. If a straight line be bisected and produced to any point > then the rectangle contained by the whole line thus produced and the part of it produced, together... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...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... | |
 | Education - 1882 - 676 pages
...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... | |
 | Euclides - 1883 - 176 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... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...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... | |
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