An elementary course of practical mathematics, Parte31851 |
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Página 232
... APPLICATIONS OF LOGARITHMS , PAGE 1 • X. UNRESOLVED EXERCISES , 21 IV . OF LOGARITHMIC SCALES , 25 V. DEFINITIONS AND EXPLANATIONS OF PLANE TRIGO- NOMETRY , 29 • VI . ON THE USE OF THE TABLES OF SINES , TANGENTS , AND SECANTS , VII . OF ...
... APPLICATIONS OF LOGARITHMS , PAGE 1 • X. UNRESOLVED EXERCISES , 21 IV . OF LOGARITHMIC SCALES , 25 V. DEFINITIONS AND EXPLANATIONS OF PLANE TRIGO- NOMETRY , 29 • VI . ON THE USE OF THE TABLES OF SINES , TANGENTS , AND SECANTS , VII . OF ...
Página 234
... applications of the highest principles of arithmetic , and immense labour . It is not the province of this work to explain the methods employed for that purpose ; and the labour is now no longer necessary , since the calculation has ...
... applications of the highest principles of arithmetic , and immense labour . It is not the province of this work to explain the methods employed for that purpose ; and the labour is now no longer necessary , since the calculation has ...
Página 252
... 004,111- . 4. Find the cube roots of 802,88 ; 005,831 ; 000,076 ; and 000,000,532,7 . Answers : 9294 + ; · 1800 — ; · 042,36 ~ ; and · 008,106 + . n CHAPTER III . ON THE APPLICATIONS OF LOGARITHMS . Logarithms 252 20 ON THE USE.
... 004,111- . 4. Find the cube roots of 802,88 ; 005,831 ; 000,076 ; and 000,000,532,7 . Answers : 9294 + ; · 1800 — ; · 042,36 ~ ; and · 008,106 + . n CHAPTER III . ON THE APPLICATIONS OF LOGARITHMS . Logarithms 252 20 ON THE USE.
Página 253
... applications , however , it is for the operations of Compound Interest and Annuities , and for finding the areas of triangles when the three sides are given , that logarithms are particularly advantageous and are often employed ...
... applications , however , it is for the operations of Compound Interest and Annuities , and for finding the areas of triangles when the three sides are given , that logarithms are particularly advantageous and are often employed ...
Página 254
... 0.945930 . £ 8829 = 17s . , 7åd . Ans . The decimal point is removed one place to the right and restored one place at the conclusion . EXAMPLE 5. The first term of a geometrical progression is 254 22 ON THE APPLICATIONS.
... 0.945930 . £ 8829 = 17s . , 7åd . Ans . The decimal point is removed one place to the right and restored one place at the conclusion . EXAMPLE 5. The first term of a geometrical progression is 254 22 ON THE APPLICATIONS.
Términos y frases comunes
acute angle adjacent angle opposite angles of elevation angular Answers applications base called CHAPTER VII circle column common compasses complete Compute contain corresponding Cosec Cosine Cotang course cube decimal point diagram diameter difference direction distance Divide EDINBURGH employed equal EXAMPLE EXERCISES IN CHAPTER factors feet figures foot former four Geometry given given number given side greater half height horizontal hypothenuse inches integers interest latter length less logarithms look marked measured miles minutes Multiply natural number nearly necessary NOTE number of degrees object observed operations Perp perpendicular plane position PRACTICAL preceding Price PROBLEM quadrant questions radius remove right-angled triangle RULE scale Secant seen sextant side Sine stands station Table taken Tang tangent telescope third side Treatise Trigonometry turns unit 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.