An elementary course of practical mathematics, Parte31851 |
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Página 239
... question without them . PROBLEM IV . To find , in Table II , the Logarithm of any number consisting of not more than three Figures . NOTE 1. When we say , in this place , " three figures , " we mean independently of ciphers either to ...
... question without them . PROBLEM IV . To find , in Table II , the Logarithm of any number consisting of not more than three Figures . NOTE 1. When we say , in this place , " three figures , " we mean independently of ciphers either to ...
Página 241
... questions in an elementary course . For those requiring more accurate calculation , the student is referred to Rule II of this Problem in the Author's larger work on the subject . logarithms in Table 11. Having found these , look along ...
... questions in an elementary course . For those requiring more accurate calculation , the student is referred to Rule II of this Problem in the Author's larger work on the subject . logarithms in Table 11. Having found these , look along ...
Página 253
... questions under the Arithmetical rules of Reduction , Simple and Com- pound Proportion , * Interest , Exchange , Annuities , Geometrical Progressions , & c . , and to questions in Mensuration . Of all these applications , however , it ...
... questions under the Arithmetical rules of Reduction , Simple and Com- pound Proportion , * Interest , Exchange , Annuities , Geometrical Progressions , & c . , and to questions in Mensuration . Of all these applications , however , it ...
Página 267
... question whether the angle required is that found from the table or its supplement , except in the case of the versed - sine . EXERCISE 1. What is the number of degrees and minutes 267 OF SINES , TANGENTS , AND SECANTS . 35.
... question whether the angle required is that found from the table or its supplement , except in the case of the versed - sine . EXERCISE 1. What is the number of degrees and minutes 267 OF SINES , TANGENTS , AND SECANTS . 35.
Página 282
... question . EXAMPLE . Two sides of a triangle are 0 · 4834 and 0.7946 , and the angle opposite the former is 36 ° 45 ' : what are the other angles ? As 4.834 ( a ) ........ ..0.684307 To 7.946 ( c ) . ... 0.900149 So is sine 36 ° 45 ...
... question . EXAMPLE . Two sides of a triangle are 0 · 4834 and 0.7946 , and the angle opposite the former is 36 ° 45 ' : what are the other angles ? As 4.834 ( a ) ........ ..0.684307 To 7.946 ( c ) . ... 0.900149 So is sine 36 ° 45 ...
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.