| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...parallellograms about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by iht unequal parts, together with the square on the line between the points of section, is equal to... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the line between the points of section, is equal... | |
| Robert Potts - 1868 - 434 pages
...= a' — m*, to each of these equals add m* ; .'. (a + m) (a — m) + m' = a*. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts together with the square of half their difference, is equal to the square... | |
| 1868 - 344 pages
...rectangular areas are represented by the product of two numerical symbols. SECTION VI. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectal gle contained by the unequal parts, together with the square of the line between the points... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...be divided into two equal parts, and aha into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in (7, and... | |
| Euclides - 1870 - 270 pages
...Psts. 2 and 3 ; 3. I. 10. I. To bisect a given finite st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two...rectangle contained by the unequal parts together with the squai e of the line between the points of section, equals the square of half the line. Def. 15 and... | |
| Civil service - 1871 - 264 pages
...always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two...section, is equal to the square of half the line. 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by... | |
| Edward Harri Mathews - 1879 - 94 pages
...the square described on the sides which contain the right angle. Section IV. 1. If a straight line be divided into two equal parts and also into two...contained by the unequal parts together with the square on the line between the points of section, is equal to the square on half the line. Construct a rectangle... | |
| University of Oxford - Greek language - 1879 - 414 pages
...exterior angle shall be greater than either of the interior opposite angles. 6. If a straight line be divided into two equal parts and also into two...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 7. In a circle... | |
| Moffatt and Paige - 1879 - 378 pages
...AC and BC. .-. Angle ACB is an obtuse angle. SECTION IV. (Three questions.)—1. If a straight line be divided into two equal parts, and also into two...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. At what point must... | |
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