Plane Trigonometry |
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Frases i termes més freqüents
acute angles algebraic altitude astronomy base celestial celestial sphere centre CHAPTER circumscribing computation construction cos2 cosec cotangent deduced denoted derived diedral angle draw equal equator EXAMPLES expression figure Find the area Find the distance formulas frustum geometry given Hence hour angle hypotenuse included angle inscribed circle intersection isosceles triangle latitude law of cosines law of sines length logarithms lune mantissa meridian method Note number of degrees number of sides opposite perpendicular plane triangle Plane Trigonometry polar triangle pole positive quadrant radian measure regular polygon relations respectively right angles right triangles right-angled triangle secant Show shown sides and angles sin-i sin2 solid angle solution Solve ABC spherical angle spherical degree spherical excess spherical polygon spherical triangle spherical trigonometry subtended surface tables tan-i tan2 tangent terminal line tower triedral trigonometric functions trigonometric ratios vertical whole number
Passatges populars
Pàgina 52 - A sin B sin C Cosine Law: cos a = cos b cos c + sin b sin c cos A cos b = cos c cos a + sin c sin a cos B cos c = cos a cos b...
Pàgina 42 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pàgina 108 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pàgina 74 - The area of the surface of a sphere is four times the area of a great circle.
Pàgina 108 - 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 and the cosine of their included angle.
Pàgina 72 - The lateral area of a frustum of a cone of revolution is equal to one-half the sum of the circumferences of its bases multiplied by its slant height. Hyp. S is the lateral area, C and C...
Pàgina 62 - Geometry that the area of a triangle is equal to one-half the product of the base by the altitude. Therefore, if a and b denote the legs of a right triangle, and F the area, F THE RIGHT TRIANGLE.
Pàgina 128 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Pàgina 200 - Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides.
Pàgina 202 - Find the area of a regular polygon of n sides inscribed in a circle, and show, by increasing the number of sides of the polygon without limit, how the expression for the area of the circle may be obtained. 13. (a) Find the distance at which a building 50 ft. wide will subtend an angle of 3'. (6) A church spire 45 ft. high subtends an angle of 9