An elementary course of practical mathematics, Parte31851 |
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Página 234
... common ratio of its terms ; but progressions having any other common dif- ference and ratio would have answered equally well . Thus , we may take the two following : - 0 , 2 , 4 , 6 , 8 , 10 , & c . 1 , 3 , 9 , 27 , 81 , 243 , & c ...
... common ratio of its terms ; but progressions having any other common dif- ference and ratio would have answered equally well . Thus , we may take the two following : - 0 , 2 , 4 , 6 , 8 , 10 , & c . 1 , 3 , 9 , 27 , 81 , 243 , & c ...
Página 235
... common arithmetic , become tedious — and com- binations of these still more so- -when the numbers are represented by many figures . The object of logarithms is to facilitate such operations . They were first employed systematically for ...
... common arithmetic , become tedious — and com- binations of these still more so- -when the numbers are represented by many figures . The object of logarithms is to facilitate such operations . They were first employed systematically for ...
Página 237
... common purposes . The prin- ciple on which the property depends is very simple . Since 20 , for instance , is ten times 2 , the logarithm of 20 will be the logarithm of 10 added to the logarithm of 2 , from what * Table I may be used ...
... common purposes . The prin- ciple on which the property depends is very simple . Since 20 , for instance , is ten times 2 , the logarithm of 20 will be the logarithm of 10 added to the logarithm of 2 , from what * Table I may be used ...
Página 244
... 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 multiplication . Ans . 8230+ . 4. What is the continued product ...
... 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 multiplication . Ans . 8230+ . 4. What is the continued product ...
Página 246
... common division . Ans . 12 . 2. Divide 3784 by 26 . 3. Divide 48.2799 by 2 · 58381 . 4. Divide 263.81 by 92.413 . 5. Divide 36.49 by 192.54 . Ans . 145 5+ . Ans . 18.68+ . Ans . 2.855- Ans . 1896- 6. Divide 26 by 3784. ( See Note 1 ...
... common division . Ans . 12 . 2. Divide 3784 by 26 . 3. Divide 48.2799 by 2 · 58381 . 4. Divide 263.81 by 92.413 . 5. Divide 36.49 by 192.54 . Ans . 145 5+ . Ans . 18.68+ . Ans . 2.855- Ans . 1896- 6. Divide 26 by 3784. ( See Note 1 ...
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.