| 1801 - 426 páginas
...whole triangle iuto two right-angled triangles j, it will be As the base, or sum of the segments : **Is to the sum of the other two sides : : So is the...: To the difference of the segments of the base.*** Then \ * J)EMON STRATIOH. From one end B of the least side AB, of the triangle ABC, as a centre, and... | |
| George Baron - 1804
...Baltimore. In a plane rectilineal triangle are given the rectangle of the two sides, the rectangle **of the segments of the base made by a perpendicular let fall from the vertical angle,** and the area; to find the sides of the triangle by a more elegant method than that used by Mr. Emerson... | |
| John Bonnycastle - 1806 - 419 páginas
...three sides are given, to find the angles; RULE. '/s 19 Then, as the base, or sum of its segments, **is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base.** And half this difference, being added to half the base, will give the greater segment ; and, subtracted... | |
| Isaac Dalby - 1806
...peri motet of a rectangle = p, and its diagonal =: d ; whar are the sides ? 30. If S and *• denote **the segments of the base made by a perpendicular let fall from the vertical angle** of a triangle, and r = the rectarcile under the two sides containing that angle; what \a the perpendicular... | |
| Samuel Webber - 1808
...triangle into two right-angled triangles ; it will be As the base, or sum of the segments $ Is to tht- **sum of the other two sides : : So is the difference...those sides : To the difference of the segments of the** hasr.* * DEM0NSTRATI0N. From one end B oi the least side AB, of the triangle ABC, ~ as a centre, and... | |
| John Hamilton Moore - 1810 - 336 páginas
...will be, As the greatest aide Is to the sum of the oilier two «ides, So is the difference of thoac **sides To the difference of the segments of the base made by a perpendicular, let** (all from the angle opposite the base. The «ids BA 88, BC 54, AC 1 08, given t;i find the angles ABC,... | |
| John Gummere - 1814 - 346 páginas
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • **So is the difference of those sides, To the difference of the segments of the base.*** * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a... | |
| Olinthus Gregory - 1816 - 244 páginas
...(B — A). PROP. XVI. 16. In any plane triangle it will be, as the base, to the sum of the two other **sides, so is the difference of those sides, to the...a perpendicular let fall from the vertical angle.** From the centre c (namely, the vertical angle of the triangle ABC) with the distance of the greater... | |
| Olinthus Gregory - 1816 - 244 páginas
...sides as base, then say, conformably with chap. ii. prop, 16. As the base, To the sum of the two other **sides ; So is the difference of those sides, To the difference of the segments of the base.** Half the base added to the said difference, gives the greater segment, and made less by it gives the... | |
| John Gummere - 1817 - 206 páginas
...and the whole triangle into two right angled triangles. Then, As the base, or sum of the segments, **Is to the sum of the other two sides ; , . So is the...sides, To the difference of the segments of the base.*** * DEMONSTRATION. Let ABC, Fig. 48, be a triangle, and CD be perpendicular upon AB. About C as a centre... | |
| |