| John Gummere - Surveying - 1814 - 398 pages
...triangle whose base is 49 perches and height 34 perches ? Ans. 5A. OR. 33P. PROBLEM III. •. To find the area of a triangle when two sides and their included angle are given. KULE. As radius, Is to the sine of the included angle ; So is the rectangle of the given sides, To... | |
| Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...triangles, &c. may be expeditiously found, when required, without mapping them. PROBLEM I. To find the Area of a Triangle when two Sides and their included Angle are given, To the logarithms of the two sides in links, add the log. sine of the included angle, and from the... | |
| Education - 1849 - 682 pages
...area of a piece of land, when all the bearings and distances ore given except one? 3. How do you find the area of a triangle, when two sides and their included angle are given? 4. What is meant by the variation of the compass ? 5. What is meant by Levelling ? C. What is meant... | |
| Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...triangle, two sides of which are 25 and 21J feet, and their included angle 45° ? Ans. 20.8695. PROBLEM IV. Investigate and give a rule for finding the area of a triangle when the three sides are given. (See figure to problem III). Let A represent the area of any plane triangle,... | |
| Anthony Nesbit - 1870 - 578 pages
...circumferentor. SECTION I. RULES FOR FINDING THE AEEAS OF TRIANGLES, ETC., BY LOGARITHMS. PROBLEM I. To find the area of a triangle when two sides and their included angle are given. To the logarithms of the two sides in links add the log. sine of the included angle, and from the sum... | |
| Charles Davies - Leveling - 1871 - 448 pages
...138° 31' 01", the third angle to 9° 28' 59", and the remaining side to 12.436. CASE III. ''""' 71. When two sides and their included angle are given. Let ABC be a triangle; AB and BC, the given sides, and B the given angle. Since B is known, we can find the sum... | |
| Aaron Schuyler - Measurement - 1864 - 506 pages
...ra=864. ~) r^ = 41° O0' 38". 2. Given < £== 1308. V Required ^ B =r83° 25' 14". 100. Problem. To find the area of a triangle when two sides and their included angle are given. Let k denote the area of the -triangle ABC, of which the two sides b and c and their included angle A are... | |
| Aaron Schuyler - Measurement - 1875 - 284 pages
...Given <b = 1308. V Required < B = 83° 25' 14". lc = 1086. J l (7 = 55° 34' 08". 100. Problem. To find the area of a triangle when two sides and their included angle are given. Let k denote the area of the triangle ABC, of which the two sides Ь and c and their included angle A are... | |
| William Guy Peck - Conic sections - 1876 - 376 pages
...two arcs intersecting at R; Q '' then draw QR and PR, the triangle PQR is * PROBLEM IX. To construct a triangle when two sides and their included angle are given. Let A, and C, be the given sides and D, the given angle. At any point, 0, construct the angle FOR equal... | |
| William Shaffer Hall - Measurement - 1893 - 88 pages
...equal to one-fin lf the product of its base and altitude. For Proof: See Ww. Geom., 324. § 20. To find the area of a triangle, when two sides and their included angle are given. [12] RULE: The area of a triangle is equal to one- half the product of two sides into the sine of their... | |
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