Plane [and Spherical] Trigonometry for Colleges and Secondary SchoolsLongmans, Green, and Company, 1908 |
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Página 1
... described by him in 1614. From Henry Briggs ( 1556–1631 ) , who was professor at Gresham College , London , and later at Oxford , this invention received modifications which made it more con- venient for ordinary practical purposes ...
... described by him in 1614. From Henry Briggs ( 1556–1631 ) , who was professor at Gresham College , London , and later at Oxford , this invention received modifications which made it more con- venient for ordinary practical purposes ...
Página 15
... described in arithmetic . The system mostly used in English- speaking countries is that in which length is given in miles , yards , feet , or inches . The system which is in common use on the continent of Europe , and which is mainly ...
... described in arithmetic . The system mostly used in English- speaking countries is that in which length is given in miles , yards , feet , or inches . The system which is in common use on the continent of Europe , and which is mainly ...
Página 19
... described in Chapter IX . The protractor . The protractor is an instrument used for meas- uring given angles and laying off required angles on paper . Pro- tractors are of various kinds , of which the semicircular and the full - circled ...
... described in Chapter IX . The protractor . The protractor is an instrument used for meas- uring given angles and laying off required angles on paper . Pro- tractors are of various kinds , of which the semicircular and the full - circled ...
Página 58
... described later . There are four cases in the solution of oblique triangles ; these cases correspond to the four problems of construction stated above . CASE I. Given two angles and a side opposite to one of them . A A α с B D A D B FIG ...
... described later . There are four cases in the solution of oblique triangles ; these cases correspond to the four problems of construction stated above . CASE I. Given two angles and a side opposite to one of them . A A α с B D A D B FIG ...
Página 67
... described the angle XOQ . Terminal Line , Initial Line X FIG . 32 . Let YOY , be at right angles to X1OX . When OP has revolved until it lies in the position OY , it has described a right angle , or 90 ° ; when it has revolved until it ...
... described the angle XOQ . Terminal Line , Initial Line X FIG . 32 . Let YOY , be at right angles to X1OX . When OP has revolved until it lies in the position OY , it has described a right angle , or 90 ° ; when it has revolved until it ...
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Términos y frases comunes
A+B+C acute angles algebraic centre CHAPTER circumscribing computation construction cos² cosec cosine cotangent deduced definitions denoted derived diedral angle draw equal equation EXAMPLES expression figure formulas geometry height Hence hypotenuse included angle inscribed circle intersection isosceles triangle law of cosines law of sines length logarithms M₁ method negative NOTE number of degrees number of sides OP₁ opposite perpendicular Plane Trigonometry polar triangle pole positive angles quadrant QUESTIONS AND EXERCISES radian measure radius regular polygon relations respectively revolving right angles right-angled triangle sec² secant Show shown sides and angles sin² sine solid angle Solve ABC sphere spherical angle spherical degrees spherical excess spherical polygon spherical triangle spherical trigonometry subtended tan² tangent terminal line tower triangle ABC triedral trigono trigonometric functions trigonometric ratios whole number
Pasajes populares
Página 35 - 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 25 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 87 - 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 85 - 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 55 - 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 111 - The ratio of a circumference of a circle to its diameter is the same for all circles. [See Art. 9 (6).] For the proof of (a), reference may be made to any plane geometry ; for instance, to Euclid VI., 33.* The proof of (6) is not contained in all geometries ; for instance, Euclid does not give...
Página 183 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Página 41 - 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.