 | John Hymers - Logarithms - 1841 - 244 pages
.... a 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the included angle ; that is, o'= 6* + c*Let ARC (fig. 18) be any triangle, and as one of the angles Л, //, must be acute,... | |
 | John Hymers - Logarithms - 1858 - 324 pages
...B. 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the included angle ; that is, Let ABC (fig. 18) be any triangle, and as one of the angles A, B, must be acute, let it... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...THEORRM XVI. 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, diminished by twice the product of one of these sides, by the projection of the other on the preceding one, produced if necessary. If... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...THEOREM. 52. In any triangle, the square of the side opposite to 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 upon that side. Let C be an acute angle of the triangle... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...XV.—THEOREM. 52. 7)i any triangle, the square of the side opposite to 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 •upon thnt side. Let C be an acute angle of the... | |
 | United States Naval Academy - 1874 - 888 pages
...length. 3. Prove that in any triangle the square of a side opposite an aeute angle is equal > th« sum of the squares of the other two sides diminished by twice the product of R- of these sides and the projection of the other upon that side. Show how to draw tangent to a given... | |
 | Harvard University - 1874 - 668 pages
...proportionally. 6. In any triangle the square of the side opposite to an acute angle is equal to the Bum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side. 7. The area of a trapezoid is equal... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...THEOREM. 335. In any triangle, the square on the side opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. A Lot C be an acute angle of the... | |
 | Brookline (Mass.) - Brookline (Mass.) - 1881 - 674 pages
...work. 3. In any triangle, the square of the side opposite to 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 upon that side. Prove. 4. To find a mean proportional... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...335. In any triangle, the square un the side opposite an acute angle is equivalent to tfie sum of (he squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. F1g. 2. Let С be an acute angle... | |
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In any triangle, the square of a 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 those sides and the projection of the other side upon it. 
