Plane TrigonometryLongmans, Green, and Company, 1906 |
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Página vi
... solution of triangles and the associated practical problems , is concluded before the more general and abstract portions of the study are introduced . The first chapters of the book contain little more about trigonometric ratios and ...
... solution of triangles and the associated practical problems , is concluded before the more general and abstract portions of the study are introduced . The first chapters of the book contain little more about trigonometric ratios and ...
Página vii
... solution , as well as to the method of computation . The former method serves as a check upon the latter , and affords practice in neat and careful drawing . What is perhaps more important , however , is that the students will thus ...
... solution , as well as to the method of computation . The former method serves as a check upon the latter , and affords practice in neat and careful drawing . What is perhaps more important , however , is that the students will thus ...
Página ix
... ratios of an angle and those of its complement 17. Exponents in trigonometry 18. Relations between the trigonometric ratios of an acute angle . 19. Summary 37 2285 32 32 33 ART . CHAPTER III . SOLUTION OF RIGHT - ANGLED ix.
... ratios of an angle and those of its complement 17. Exponents in trigonometry 18. Relations between the trigonometric ratios of an acute angle . 19. Summary 37 2285 32 32 33 ART . CHAPTER III . SOLUTION OF RIGHT - ANGLED ix.
Página x
... Solution of right - angled triangles • 26. Checks upon the accuracy of the computation 27. Cases in the solution of right - angled triangles PAGE 38 38 39 40 41 41 • 43 43 CHAPTER IV . APPLICATIONS INVOLVING THE SOLUTION OF RIGHT ...
... Solution of right - angled triangles • 26. Checks upon the accuracy of the computation 27. Cases in the solution of right - angled triangles PAGE 38 38 39 40 41 41 • 43 43 CHAPTER IV . APPLICATIONS INVOLVING THE SOLUTION OF RIGHT ...
Página xi
... SOLUTION OF TRIANGLES IN GENERAL . 53. Cases for solution 54. Fundamental relations between the sides and angles of a triangle . The law of sines . The law of cosines . · 54a . Substitution of sines for sides , and of sides for sines 97 ...
... SOLUTION OF TRIANGLES IN GENERAL . 53. Cases for solution 54. Fundamental relations between the sides and angles of a triangle . The law of sines . The law of cosines . · 54a . Substitution of sines for sides , and of sides for sines 97 ...
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Términos y frases comunes
A+B+C acute angle algebraic centre CHAPTER circumscribing computation cos² cosec cotangent deduced denoted Derive diedral angle draw equal equator EXAMPLES expression figure Find the distance formulas geometry given Hence hypotenuse included angle inscribed circle intersection latitude law of cosines law of sines length logarithms mantissa mathematics meridian method NOTE number of degrees number of sides opposite perpendicular plane triangle Plane Trigonometry polar triangle pole positive quadrant radian measure radii radius regular polygon relations respectively right angles right triangles right-angled triangle secant Show sides and angles sin² solid angle solution Solve ABC sphere spherical angle spherical degree spherical excess spherical polygon spherical triangle spherical trigonometry subtended surface tables tan² tangent terminal line three angles tower triangle ABC trigono trigonometric functions trigonometric ratios π π
Pasajes populares
Página 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...
Página 42 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 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...
Página 74 - The area of the surface of a sphere is four times the area of a great circle.
Página 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.
Página 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...
Página 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.
Página 128 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Página 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.
Página 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