| James McDowell - 1866 - 124 pages
...f- = tan - - - 1. 1 + tan|a \4 2/ If a + ft + 7 = ^, prove that cos a + cos /3 + cos 7 If an angle **be divided into two equal parts and also into two unequal parts, the rectangle** of the sines of the unequal parts, together with the square of the sine of the angle between the dividing... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...manifest, that parallellograms about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. **If a straight line be divided into two equal parts...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... | |
| 1868 - 344 pages
...explain how 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... | |
| 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... | |
| Euclides - 1870 - 270 pages
...&c. 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...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... | |
| Moffatt and Paige - 1879 - 378 pages
...the area of a triangle whose altitude is (a) units long, and whose base is (5) units long, is £ ab ? **If a straight line be divided into two equal parts,...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. By the 41st proposition... | |
| Euclides - 1879 - 146 pages
...on the line intercepted between the other equal angle and the perpendicular. PROPOSITION V. THEOREM. **If a straight line be divided into two equal parts,...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 lint. Let AB be divided... | |
| Edward Harri Mathews - 1879 - 94 pages
...right angle is equal to the square described on the sides which contain the right angle. Section IV. 1. **If a straight line be divided into two equal parts...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... | |
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