Plane [and Spherical] Trigonometry for Colleges and Secondary SchoolsLongmans, Green, and Company, 1908 |
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... examples , the student becomes familiar with the trigonometric functions before proceeding to the more general treatment . His progress is thus made easier and more rapid . Teachers who prefer a wider generality of treatment at the ...
... examples , the student becomes familiar with the trigonometric functions before proceeding to the more general treatment . His progress is thus made easier and more rapid . Teachers who prefer a wider generality of treatment at the ...
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... Examples , simple ones as a rule , are given in the several articles . Questions and exercises suitable for practice and review on the separate chapters are placed at the end of the book instead of at the ends of the chapters . These ...
... Examples , simple ones as a rule , are given in the several articles . Questions and exercises suitable for practice and review on the separate chapters are placed at the end of the book instead of at the ends of the chapters . These ...
Página vii
... Examples , simple ones as a rule , are given in the several articles . Questions and exercises suitable for practice and review on the separate chapters are placed at the end of the book instead of at the ends of the chapters . These ...
... Examples , simple ones as a rule , are given in the several articles . Questions and exercises suitable for practice and review on the separate chapters are placed at the end of the book instead of at the ends of the chapters . These ...
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... example , the relations $ 38 , 5625 , 10-100.001 , may also be expressed by the equivalent logarithmic equations , log , 83 , log , 6254 , log10.001 - 3 . EXAMPLES . 1. Express the following equations in a logarithmic form : = 38 = 27 ...
... example , the relations $ 38 , 5625 , 10-100.001 , may also be expressed by the equivalent logarithmic equations , log , 83 , log , 6254 , log10.001 - 3 . EXAMPLES . 1. Express the following equations in a logarithmic form : = 38 = 27 ...
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... example , ( 1 ) .... 9 = 10.95424 , 247 = 102.39270 9 or log 9.95424 , log 247 = 1453 = 103.16227 ; 2.39270 , log 1453 = 3.16227 . Most logarithms are incommensurable numbers . ( See Art . 9. ) The decimal part of the logarithm is ...
... example , ( 1 ) .... 9 = 10.95424 , 247 = 102.39270 9 or log 9.95424 , log 247 = 1453 = 103.16227 ; 2.39270 , log 1453 = 3.16227 . Most logarithms are incommensurable numbers . ( See Art . 9. ) The decimal part of the logarithm is ...
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Términos y frases comunes
A+B+C acute angles algebraic centre CHAPTER circumscribing computation cos² cosec cosine cotangent deduced denoted Derive diedral angle draw equal equation EXAMPLES expression figure Find the distance formulas geometry given height Hence hypotenuse included angle inscribed circle intersection inverse trigonometric functions isosceles triangle law of cosines law of sines length logarithms M₁ method negative NOTE number of degrees number of sides opposite perpendicular Plane Trigonometry polar triangle pole positive quadrant QUESTIONS AND EXERCISES radian measure radii radius regular polygon relations respectively revolving right angles right-angled triangle sec² secant Show sides and angles sin² sine solid angle Solve ABC sphere spherical angle spherical degree spherical excess spherical polygon spherical triangle spherical trigonometry subtended surface tan² tangent terminal line triangle ABC triedral trigonometric functions trigonometric ratios whole number
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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.