An elementary course of practical mathematics, Parte31851 |
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Página 262
... radius , then any angle , as BVC , is the same part of all the angles at V , that the arc BC is of the whole cir- cumference : that is , each is the same part of 360 ° ; or the angle BVC con- tains the same number of degrees as the arc ...
... radius , then any angle , as BVC , is the same part of all the angles at V , that the arc BC is of the whole cir- cumference : that is , each is the same part of 360 ° ; or the angle BVC con- tains the same number of degrees as the arc ...
Página 264
... radius being at the same time named or understood . Thus , if the arc BC , or the angle BOC , is of 50 ° , and the radius OC is 10 of any equal parts , then BD is called the sine of 50 ° , CF the tangent of 50 ° , & c . , to the radius ...
... radius being at the same time named or understood . Thus , if the arc BC , or the angle BOC , is of 50 ° , and the radius OC is 10 of any equal parts , then BD is called the sine of 50 ° , CF the tangent of 50 ° , & c . , to the radius ...
Página 265
James Elliot. sines , for every minute of the quadrant , to the radius 10,000 ; 000,000 , were arranged in similar ... radius of the table used . EXERCISE 1. What is the logarithmic sine of 9 ° 265 OF PLANE TRIGONOMETRY . 33 ON THE USE ...
James Elliot. sines , for every minute of the quadrant , to the radius 10,000 ; 000,000 , were arranged in similar ... radius of the table used . EXERCISE 1. What is the logarithmic sine of 9 ° 265 OF PLANE TRIGONOMETRY . 33 ON THE USE ...
Página 269
... Radius sin P :: h : p Radius sin B :: h : b . b H NOTE 1. Instead of the sine of the angle opposite the required side , we may use the cosine of the acute angle adjacent to it , when the latter angle , and not the former , is given it ...
... Radius sin P :: h : p Radius sin B :: h : b . b H NOTE 1. Instead of the sine of the angle opposite the required side , we may use the cosine of the acute angle adjacent to it , when the latter angle , and not the former , is given it ...
Página 270
... radius ...... .10.000000 Is to sin 30 ° So is 63 1.799341 9.698970 65 1.498311 . -30 ° To Opposite this logarithm , in the column of sines in Table II , we find 31.5 as before . EXAMPLE 2. The acute angle at the base is 18 ° 9 ′ 42 ...
... radius ...... .10.000000 Is to sin 30 ° So is 63 1.799341 9.698970 65 1.498311 . -30 ° To Opposite this logarithm , in the column of sines in Table II , we find 31.5 as before . EXAMPLE 2. The acute angle at the base is 18 ° 9 ′ 42 ...
Términos y frases comunes
angle opposite angles of elevation angular elevation arc BC arithmetical series artificial horizon chains CHAPTER VII ciphers circle column compasses compound interest Compute Cosec Cosine Cotang cube roots decimal point degrees and minutes diagram diameter Divide divisor EDINBURGH EXAMPLE EXERCISES IN CHAPTER extract the square feet figure an integer find the Angles Find the logarithms four figures fourth term geometrical progression given angle given leg given number given side horizontal angles hypothenuse inches instrument LOGARITHMIC SCALES Logarithmic Sine measured miles Multiply NOTE number of degrees object observed opposite the former opposite the latter Perp perpendicular PLANE TRIGONOMETRY Price PROBLEM II PROBLEM VII quadrant quotient radius remove the decimal right-angled triangle Secant sextant side opposite Sliding Rule spirit level square root station Subtract SUTHERLAND AND KNOX Table Tang tangent telescope theodolite third side three figures three sides Treatise versed-sine vertex vertical angle yards
Pasajes populares
Página 282 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 274 - RULE. — Subtract the square of the base from the square of the hypothenuse, and extract the square root of the remainder.
Página 377 - Key to above 60 3. Complete Practical Treatise on the Nature and Use of Logarithms, and on Plane Trigonometry, with Logarithmic and Trigonometrical Tables, . 5 0 4.
Página 245 - To find, then, by logarithms, the fourth term in a proportion, ADD THE LOGARITHMS OF THE SECOND AND THIRD TERMS, AND from the sum SUBTRACT THE LOGARITHM OF THE FIRST TERM.
Página 279 - From D as a center with a radius equal to a, draw an arc intersecting El in F and F'.
Página 292 - ... the angle of reflection is always equal to the angle of incidence, the image for any point can be seen only in the reflected ray prolonged.
Página 279 - Let abc (fig. 1 14) be a spherical triangle, whose sphere has its centre in o, and unity for radius. If now from c, on the plane aob, we let fall the perpendicular cd; from d on ae, bo, the perpendiculars de, df, and draw ce, cf; it would be easy to show that the triangles ceo, cfo are right angles...
Página 278 - To find a side, work the following proportion: — as the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side.
Página 243 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 284 - That is, as the base, is to the sum of the two sides; so is the difference of the sides, to the sum of the segments of the base.