| William Peveril Turnbull - Geometry, Analytic - 1867 - 298 pages
...being inclined at an angle w. Q LMNX Draw the ordinates (as they are called) PL, QM, RN parallel to OY. The area of any triangle is measured by half the product...figure RNLP. Join PM, QL. The figure PLM Q = triangle PLM+ triangle PMQ, = triangle PLM+ triangle QML, (Euclid, I. 37) = \ (PL + QM) ML sin w, = *(&+&) fa-«0... | |
| Mathematics - 1874 - 430 pages
...57°50", and x, y, z or the sides opposite A, B and C, and a — 14.048 acres = 2247.68 sq. rods. Since the product of two sides and the sine of the included angle equals twice the area we have, Then - = _ sin C ^ ' sin B ^ IJ sin A (3) vy \ sm Similarly y = C '... | |
| Electronic journals - 1874 - 490 pages
...57°50", and x, y, z or the sides opposite A, B and C, and a = 14.048 acres = 2247.68 sq. rods. Since the product of two sides and the sine of the included angle equals twice the area we have, ,-«\ 2« /ON 2« /ON 2a m. (1) xy = - — -^r, (2) xz = -, — B, (3)... | |
| George Albert Wentworth - Trigonometry - 1882 - 160 pages
...And, in like manner, F= è ab sin C and F= i be sin .4. That is : The area of a triangle is equal to half the product of two sides and the sine of the included angle. By Formula [33] the area of a triangle may be found directly when two sides and the included angle... | |
| Mathematics - 1874 - 834 pages
...57°50", and x, y, z or the sides opposite A, B and C, and a = 14.048 acres = 2247.68 sq. rods. Since the product of two sides and the sine of the included angle equals twice the area we have, ,i\ 2a /0\ 2a /„,. 2a rr>< ( 1) xy = -T— TT, (2) xz = ~. — &,... | |
| George Albert Wentworth - Trigonometry - 1884 - 330 pages
...And, in like manner, F= J ab sin C and F= J be sin A. That is : The area of a triangle is equal to half the product of two sides and the sine of the included angle. By Formula [33] the area of a triangle may be found directly when two sides and the included angle... | |
| George Albert Wentworth - 1887 - 346 pages
...[33] And, in like manner, F=\ab&mC and F= I be sin A. That is : TJie area of a triangle is equal to half the product of two sides and the sine of the included angle. By Formula [33] the area of a triangle may be found directly when two sides and the included angle... | |
| George Albert Wentworth - 1887 - 206 pages
...And, in like manner, F—$ab sin C and F= J be sin A. That is : The area of a triangle is equal to half the product of two sides and the sine of the included angle. By Formula [33] the area of a triangle may be found directly when two sides and the included angle... | |
| William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...cosecant of an angle of a triangle, that angle may have either of two values. 7. Show that the area of a triangle is measured by half the product of two sides and the sine of the internal angle contained by tliem, whether that angle is acute, obtuse or right. 8. Show that the ratios... | |
| Edwin Edser - Calculus - 1901 - 264 pages
...A+B . AB sin A — sin B = 2 cos — — sin — — . To find the area of a triangle, in terms of the product of two sides and the sine of the included angle. Let ABC (Fig. 81) be the given triangle; it is required to express its area in terms of the sides AB... | |
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