 | Adrien Marie Legendre - 1822 - 394 lapas
...triangles formed with two given sides a and b, the greatest is the one in which the angle C, included between the given sides, is equal to the sum of the other two angles A and B. With the radius OZ = I, describe the semicircumference VMZ ; make the arc ZX=C... | |
 | William John McClelland, Thomas Preston - 1893 - 402 lapas
...less than unity, and reaches its maximum value, tan % b tan % c, when -4£ = J 6 ; or when A = 5 + 0. Hence the area of the triangle is a maximum, when...the chordal triangle is therefore right.angled at At and its area is also a maximum* Cor. 2. — The area of the colunar on BC is one-fourth the area... | |
 | G. H. Hardy - 2008 - 21 lapas
...the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, then the area of the triangle is a maximum when the angle between those sides is 60°. (Math. Trip. 1909) 31. A line is drawn through a fixed point (a, 6) to meet the... | |
 | 2007 - 532 lapas
...the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, then the area of the triangle is a maximum when the angle between those sides is 60°. (Math. Trip. 1909) 31. A line is drawn through a fixed point (a, 6) to meet the... | |
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Trip. 1928) 30. Show that, if the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, then the area of the triangle is a maximum when the angle between those sides is 60°. (Math. Trip. 1909) 31. A line is drawn... 