An elementary course of practical mathematics, Parte31851 |
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Página 235
... multiplication , division , and extraction of roots , by common arithmetic , become tedious — and com- binations of ... multiply the number 16 by 4 : we take their corresponding logarithms standing above them , namely 4 and 2 , and add ...
... multiplication , division , and extraction of roots , by common arithmetic , become tedious — and com- binations of ... multiply the number 16 by 4 : we take their corresponding logarithms standing above them , namely 4 and 2 , and add ...
Página 236
... multiply by any number is the same as to multiply by its several factors successively : thus , to multiply by 96 gives the same result as to multiply by 12 and again by 8 . So , when we are required to multiply 16 by 4 , it is the same ...
... multiply by any number is the same as to multiply by its several factors successively : thus , to multiply by 96 gives the same result as to multiply by 12 and again by 8 . So , when we are required to multiply 16 by 4 , it is the same ...
Página 243
... Multiply 54-023 by 2.5296 . Num . 54.02 † 2.530 .. Log . 1.732555 .0.403121 Ans . 136.7 – ..2.135676 . NOTE . If one or more of the factors are decimals without integers , in all such factors remove the decimal point just so many places ...
... Multiply 54-023 by 2.5296 . Num . 54.02 † 2.530 .. Log . 1.732555 .0.403121 Ans . 136.7 – ..2.135676 . NOTE . If one or more of the factors are decimals without integers , in all such factors remove the decimal point just so many places ...
Página 244
... Multiply 725 by 48 by logarithms , and prove the result by common multiplication . Ans . 34800 . 2. Multiply 172.3 by 4.598 . Ans . 792.2 + . 3. Find the product of the numbers 3.69 , 64 , and 348.5 by logarithms , and prove it by ...
... Multiply 725 by 48 by logarithms , and prove the result by common multiplication . Ans . 34800 . 2. Multiply 172.3 by 4.598 . Ans . 792.2 + . 3. Find the product of the numbers 3.69 , 64 , and 348.5 by logarithms , and prove it by ...
Página 250
... Multiply the logarithm of the number by 2 for the square , or by 3 for the cube ; and find the natural number answering to the product . EXAMPLE 1. What is the cube of 12 ? Num . 12 ......... Log . 1.079181 3 Ans . 1728 ...
... Multiply the logarithm of the number by 2 for the square , or by 3 for the cube ; and find the natural number answering to the product . EXAMPLE 1. What is the cube of 12 ? Num . 12 ......... Log . 1.079181 3 Ans . 1728 ...
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.