 | George Roberts Perkins - 1860 - عدد الصفحات: 472
...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 - 1871 - عدد الصفحات: 380
...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 - 1872 - عدد الصفحات: 382
...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... | |
 | Harvard University - 1874 - عدد الصفحات: 668
...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... | |
 | United States Naval Academy - 1874 - عدد الصفحات: 888
...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... | |
 | George Albert Wentworth - 1877 - عدد الصفحات: 416
...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.) - 1881 - عدد الصفحات: 674
...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 - 1881 - عدد الصفحات: 266
...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... | |
 | George Albert Wentworth - 1882 - عدد الصفحات: 234
...and the law may be stated as follows : The square of any side of a triangle is equal to the sum of the squares of the other two sides, diminished by twice the product of the sides and the cosine of the included angle. § 38. LAW OF TANGENTS. By § 36, a : b = sin A : sin... | |
 | George Albert Wentworth - 1882 - عدد الصفحات: 268
...THEOREM. 335. In any triangle, the square on the side opposite an ande 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. Let С be an acute angle of the... | |
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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. 
