| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...XXVIII. 68 1 In a triangle the square of a side opposite an acute angle is equivalent to the sum of the squares of the other two sides minus twice the product of one of these sides and the distance from the vertex of this acute angle to the foot of the perpendicular... | |
| Dublin city, univ - 1878 - 498 pages
...circle : — (a). Any side is equal to twice the tangent from its middle point to the circle. (4). The square of any side is equal to the sum of the squares of the tangents from its extremities to the circle. 14. A square is described on the hypotheneuse... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...XXVIII. 68. In a triangle the square of a side opposite an acute angle is equivalent to the sum of the squares of the other two sides minus twice the product of one of these sides and the distance from the vertex of this acute angle to the foot of the perpendicular... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...THEOREM VII. 259. In any triangle, the square on the side opposite an acute angle. equals the sum of the squares of the other two sides minus twice the product of one of those sides and the projection of the other upon that side. In the A ABC, let c be an acute... | |
| Webster Wells - Trigonometry - 1883 - 234 pages
...Since the result (80) may also be written a+b _ COt i Ü ХддЧ а — b tan b (A — В) 146. In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.... | |
| Webster Wells - Trigonometry - 1887 - 200 pages
...we have (Art. 14). Thus formula (48) may be put in the form g + b _ cot a - b ~ ,ч * ' 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus tunee their product into the cosine of their included angle.... | |
| Webster Wells - Plane trigonometry - 1887 - 158 pages
...В = 180° - С, we have Thus formula (48) may be put in the form a + b _ cot ^ С '51-. 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.... | |
| Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...tan~T(A — B)' with similar expressions for the other pairs of sides. (83) FIG. 21 bis. о 63. //( any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included... | |
| George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...respective sides. 363. 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 product of one of those sides and the projection of the other upon that side. If C be the acute angle, then by... | |
| Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...sin С sin A sin A sin B sin C a : ¿, : с = sin A : sin B : sin C. 96. Law of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included... | |
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