Plane trigonometry and logarithms |
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Página 111
To determine the characteristic of the logarithm of any number . This can always be done by inspection of the number itself , as will be shown . ( i . ) Let the number be greater than unity , and consist of an integer of n digits with ...
To determine the characteristic of the logarithm of any number . This can always be done by inspection of the number itself , as will be shown . ( i . ) Let the number be greater than unity , and consist of an integer of n digits with ...
Página 112
than unity is less by one than the number of digits in the integral part of the number . ... Hence the rule , The characteristic of the logarithm of a decimal fraction is greater by one than the number of ciphers which immediately ...
than unity is less by one than the number of digits in the integral part of the number . ... Hence the rule , The characteristic of the logarithm of a decimal fraction is greater by one than the number of ciphers which immediately ...
Página 119
Given a logarithm which is not in the tables , to find the number whose logarithm it is . With the notation of the previous article ... The decimal point may then be placed in accordance with the value of the given characteristic . 128.
Given a logarithm which is not in the tables , to find the number whose logarithm it is . With the notation of the previous article ... The decimal point may then be placed in accordance with the value of the given characteristic . 128.
Página 123
logarithms of all the numbers which form the tables of natural functions ; and the method of using them will be no ... and the cotangents of angles greater than 45 ° , are all less than unity ; and their logarithms are therefore all ...
logarithms of all the numbers which form the tables of natural functions ; and the method of using them will be no ... and the cotangents of angles greater than 45 ° , are all less than unity ; and their logarithms are therefore all ...
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Plane Trigonometry and Logarithms John Walmsley,Senior Lecturer in Medieval History John Walmsley Sin vista previa disponible - 2015 |
Términos y frases comunes
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Pasajes populares
Página 77 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Página 109 - A, and at a distance of a from it, the elevation is 18°. Show that the height of the tower is — ; the tangent of 18° being 25.
Página 112 - On the bank of a river there is a column 200 feet high supporting a statue 30 feet high ; the statue to an observer on the opposite bank subtends an equal angle with a man 6 feet high standing at the base of the column; required the breadth of th
Página 23 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Página 81 - Hence the characteristic is n — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive.
Página 121 - The square on the side of a regular pentagon inscribed in a circle is equal to the sum of the squares on the sides of the regular hexagon and decagon inscribed in the same circle.
Página 122 - ... 66. Construct an equilateral triangle, having given the length of the perpendicular drawn from one of the angles on the opposite side. 67. Having given the straight lines which bisect the angles at the base of an equilateral triangle, determine a side of the triangle. 68. Having given two sides and an angle of a triangle, construct the triangle, distinguishing the different cases.
Página 22 - Find the distance of the lighthouse from each position of the ship.
Página 121 - Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides.
Página 109 - The elevation of a tower standing on a horizontal plane is observed ; a feet nearer, it is found to be 45°...
Información bibliográfica
| Título | Plane trigonometry and logarithms |
| Autor | John Walmsley |
| Editor | C.F. Hodgson, 1865 |
| Procedencia del original | Universidad de Oxford |
| Digitalizado | 7 Sep. 2006 |
| Largo | 182 páginas |
| Exportar cita | BiBTeX EndNote RefMan |