 | Arthur Schultze - 1901 - 392 σελίδες
...side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is obtuse. To... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. c Hyp. In Aabc, p is the projection of 6 upon c, and the angle opposite a is obtuse.... | |
 | Alan Sanders - 1901 - 260 σελίδες
...opposite the obtuse angle is equivalent to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. B Let ABC be an obtuse-angled A, and CD be the projection of BC on AC (prolonged). To... | |
 | Arthur Schultze - 1901 - 260 σελίδες
...side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. JD Hyp. In Aabc, p is the projection of 6 upon c, and the angle opposite a is obtuse.... | |
 | 1903 - 630 σελίδες
...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. 7. Prove : The area of a regular polygon is equal to one-half the product of its perimeter... | |
 | Alan Sanders - 1903 - 392 σελίδες
...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 these sides and the projection of the oiher side upon it. b B Let ABC be a A in which BC lies opposite an acute angle, and AD is the projection... | |
 | James Morford Taylor - 1904 - 192 σελίδες
...about the triangle ABC. 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 two sides into the cosine of their included angle. In figures 35 regard AD, DB, and AB as directed... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 σελίδες
...constructions. 2. 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...one of these sides and the projection of the other side upon it. 3. The areas of two similar triangles are to each other as the squares of any two homologous... | |
 | James Morford Taylor - 1905 - 256 σελίδες
...about the triangle ABC. 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 two sides into the cosine of their included angle. In figures 35 regard AD, DB, and A В as directed... | |
 | Edward Rutledge Robbins - 1906 - 268 σελίδες
...346. THEOREM. 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 these two sides and the projection of the other side upon that one. Given: (?). To Prove: c2=(?). Proof :... | |
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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 these sides and the projection of the other side upon it. 
