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الكتب الكتب 1 - 10 من 20 فيThe sides of a triangle are in arithmetical progression, and its area is to that....
" The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5. "
New series of The mathematical repository - الصفحة 134
بواسطة Thomas Leybourn - 1830
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Problems in the Different Branches of Philosophy: Adapted to the Course of ...

Miles Bland - 1830 - عدد الصفحات: 374
...produced. 3, 4, 5, and the radius of the inscribed circle is known: determine the area of the triangle. 19. The sides of a triangle are in arithmetical progression,...equilateral triangle of the same perimeter as 3 : 5. Determine the ratio of the sides, and the value of the largest angle. 20. Having given one of the angles...
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Mathematical problems and examples, arranged according to subjects, from the ...

1836
...— 4 sin a sin2 ^ ; and explain fully its use in the construction of the Trigonometrical Canon. 64. The sides of a triangle are in arithmetical progression,...triangle of the same perimeter as 3 : 5. Find the ratiaof the sides, and the value of the largest angle. 65. Expand the.w(* power of sin A in terms of...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - 1841 - عدد الصفحات: 151
...•• ™ «» : АС AB sec В АС 20 100* .-. i- РАС = 'i = 0°. 5729577 = 34'. 22",б4. 37. The sides of a triangle are in arithmetical progression,...an equilateral triangle of the same perimeter as 3 to 5. Shew that its largest angle equals 60°. If 6a be the perimeter of the equilateral triangle,...
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A collection of problems and examples adapted to the 'Elementary course of ...

Harvey Goodwin (bp. of Carlisle.) - 1847 - عدد الصفحات: 80
...Given the base, the vertical angle, and the difference of the sides ; find the remaining angles. 30. The sides of a triangle are in arithmetical progression,...ratio of the sides and the value of the largest angle. 32. The angles of a plane triangle form a geometrical progression of which the common ratio is -^ ;...
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Plane trigonometry. [With] Solutions of examples

John William Colenso (bp. of Natal.) - 1851
...corresponding regular polygons of twice the same number of sides. 315. The sides of a triangle are in A. p., and its area is to that of an equilateral triangle of the same perimeter as 3 : 5. Shew that its largest angle is 120°. 316. If the sides of a triangle are а, Ь, с, and another triangle...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852
...where the lines bisecting the angles meet the opposite sides as (a + b)(a + c) (b + c): iabc. 185. The sides of a triangle are in Arithmetical progression, and its area is to the area of an equilateral triangle of the same perimeter as 3 : 5 ; find the ratio of the sides, and...
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The elements of plane and spherical trigonometry

John Hind - 1855
...circles, it is required to prove that where r„ r„ rt are the radii of the escribed circles. 59. The sides of a triangle are in arithmetical progression,...equilateral triangle of the same perimeter as 3 : 5; prove that the sides are as 3, 5, 7, and the greatest angle = 120". 61. In any right-angled triangle,...
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A Treatise on Plane and Spherical Trigonometry: And on Trigonometrical ...

John Hymers - 1858 - عدد الصفحات: 232
...a1 + я? cot' ß -x* cot* a 2bxcotß~ ~' Чах coi ß ~ ' ^ ab (a + b) 5t*a-(a + 6)cof/3' ili 56. The sides of a triangle are in arithmetical progression,...an equilateral triangle of the same perimeter as 3 to 5 ; shew that its largest angle equals 120*. If 6a be the perimeter of the equilateral triangle,...
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Plane trigonometry

Isaac Todhunter - 1860
...whose sides are proportional to has its area and the trigonometrical ratios of its angles rational. 8. The sides of a triangle are in arithmetical progression,...an equilateral triangle of the same perimeter as 3 to 5. Find the ratio of the sides and the value of the largest angle. 9. If the alternate angles of...
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Problems and Examples

1862 - عدد الصفحات: 141
...Given the base, the vertical angle, and the difference of the sides ; find the remaining angles. 37. The sides of a triangle are in arithmetical progression,...ratio of the sides and the value of the largest angle. 38. The area of any triangle is to the area of the triangle, the sides of which are respectively equal...
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