Plane TrigonometryLongmans, Green, and Company, 1906 |
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Página 1
... necessary in the solution of some of the practical problems in trigonometry . The labour of making extensive and complicated calculations can be greatly lessened by the employment of a table of logarithms , an instrument which was ...
... necessary in the solution of some of the practical problems in trigonometry . The labour of making extensive and complicated calculations can be greatly lessened by the employment of a table of logarithms , an instrument which was ...
Página 5
... necessary to put only the mantissas of se- quences of integers in the tables . 5. Negative characteristics . In common logarithms the mantissa is always kept positive . Thus , for example , log 25380 4.40449 ; log .002538 = log log 2538 ...
... necessary to put only the mantissas of se- quences of integers in the tables . 5. Negative characteristics . In common logarithms the mantissa is always kept positive . Thus , for example , log 25380 4.40449 ; log .002538 = log log 2538 ...
Página 6
... necessary in dealing with logarithms because of the fact that the mantissa is always positive , while the character- istic may be either positive or negative . Some typical examples involving negative characteristics are given below ...
... necessary in dealing with logarithms because of the fact that the mantissa is always positive , while the character- istic may be either positive or negative . Some typical examples involving negative characteristics are given below ...
Página 9
... necessary on beginning the study of plane trigonometry . Instruments for measuring lines and angles , and accuracy in computation are required in making its practical applications . 8. Ratio . Measure . On entering upon the study of ...
... necessary on beginning the study of plane trigonometry . Instruments for measuring lines and angles , and accuracy in computation are required in making its practical applications . 8. Ratio . Measure . On entering upon the study of ...
Página 12
... necessary and sufficient . For example , in calculating a length in inches in ordinary engineer- * See Appendix , Note C. ing work there is no need to go beyond the 12 [ CH . II . PLANE TRIGONOMETRY . Incommensurable quantities ...
... necessary and sufficient . For example , in calculating a length in inches in ordinary engineer- * See Appendix , Note C. ing work there is no need to go beyond the 12 [ CH . II . PLANE TRIGONOMETRY . Incommensurable quantities ...
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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