| Joe Garner Estill - 1896 - 214 pages
...angle. 3. In any triangle the square of a side opposite an acute angle equals the sum of the squares on **the other two sides minus twice the product of one of these sides** by the projection of the other upon it. 4. The length of a tangent to a circle, from a point eight... | |
| George D. Pettee - Geometry, Modern - 1896 - 272 pages
...the side opposite the obtuse angle is equal to the sum, of the squares of the other two sides plus **twice the product of one of these sides and the projection of** tJie other upon it. Appl. Prove AC* = CB * + AB * + 2CBxBD Cons. Draw AD -L CB (produced) Dem. CD=CB... | |
| Engineering - 1896 - 742 pages
...adding 10 to its characteristic. Theorem I. The square on any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** these sides into the cosine of their included angle. First, if the angle B is acute we have b2=a2+c2... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice t he **product of one of these sides and the projection of the other side upon it.** GIVEN — the obtuse-angled triangle ABC with B the obtuse angle. Draw AD perpendicular to CB produced,... | |
| Webster Wells - Geometry - 1898 - 250 pages
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the...sides and the projection of the other side upon it.** D B fig. 1. Fig. 2. D Given C an acute Z of A ABC, and CD the projection of side AC upon side CB, produced... | |
| Webster Wells - Geometry - 1898 - 284 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus **twice the product of one of these sides and the projection of the** oiher side upon it. Given C an obtuse Z of A ABC, and CD the projection of side AC upon side BC produced.... | |
| James William Nicholson - Trigonometry - 1898 - 204 pages
...the following is the 56 Translation: The square of any side of any triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** these sides into the cosine of their included angle. While all other trigonometric relations of the... | |
| Webster Wells - Geometry - 1899 - 424 pages
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the...sides and the projection of the other side upon it.** CD B Fig. 1. Fig. t. Given C an acute Z of A ABC, and CD the projection of side AC upon side CB, produced... | |
| Webster Wells - Geometry - 1899 - 450 pages
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the...sides and the projection of the other side upon it.** D Fig. 1. B Given C an acute Z of A ABC, and CD the projection of side AC upon side CB, produced if... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by **twice the product of one of these sides and the projection of the other side upon it.** CASE I. When the projection of the vertex upon the base is in the base. CASE II. When the projection... | |
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