Save my name, email, and website in this browser for the next time I comment. Notify me of follow-up comments by email. Notify me of new posts by email. The App come with Table of Logarithm and Antilogarithm.

Remember that the base is 10 and we are considering natural logarithms or logs only. As mentioned earlier, the mantissa has to be read from a standard log table. Log tables consist of rows that go from 10,11, up to The columns have values 0,1, 2, up to 9. Beyond the 10 columns, there is another column which is known as the mean difference. For determining the mantissa, a particular row has to be read off and the mean difference has to be added from the table. For mantissa, read from the table a number From the rows, choose 50, and read off from the number under the column 0.

The number given in the log tables is Now read, in the same row, the mean difference under 2.

This number is given as 2. From the rows, choose 72, and read off from the number under the column 9.

### A Complete Table Of Common Logarithm And Antilogarithm For Mathematics Students

Now read, in the same row, the mean difference under 8. This number is given as 5. From the rows, choose 98, and read off from the number under the column 8. Now read, in the same row, the mean difference under 7. This number is given as 3. Thus log 0. From the rows, choose 12, and read off from the number under the column 3. Now read, in the same row, the mean difference under 4. This number is given as The log of will be as follows : this is a five digit number, so the last that is the fifth digit will have to be rounded off.

**Finding the Inverse of the Sine Function**

The fifth digit is 4, which is less than 5. So take the last digit is 0. Thus the mantissa of will be same as the mantissa for The log of will be as follows : the last digit 6 is rounded off as 1 and is added to the second last number 4.

Antilog table for base 10 is readily available.

Antilog tables are used for determining the inverse value of the mantissa. From the characteristic, the position of the decimal point can be determined.Uploaded by Unknown on September 27, This banner text can have markup. Search the history of over billion web pages on the Internet. Logarithmic, trigonometric, and mathematical tables for artillery Item Preview. EMBED for wordpress. Want more? Advanced embedding details, examples, and help!

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### Sine Cosine Tangent Chart

Common logarithms of numbers II. Common logarithms of functions of angles in mils III. Common logarithms of functions of angles in degrees and minutes. Stadia reductions V. Horizontal distances for given slope distances and gradients from 0 mils to mils VII. Conversion of degrees to mils; and mils to degrees VIII.

Map scales in English measure and metric units IX.

Useful constants and formulae X. Greek alphabet XI. Standard time signals XII. Mean astronomic refraction, with corrections XIV. Parallax and altitude of the sun XV. Curvature and refraction XVI. Natural sines and cosines of angles in mils XVII.

Natural sines and cosines of angles in degrees and minutes XIX. Natural tangents and cotangents of angles in degrees and minutes. Corrections to Ay for magnification of scale Digitized by Google. There are no reviews yet. Be the first one to write a review. Additional Collections.Elias Loomis. Look on the first page of the table, along the column of numbers under N, for the given number, and against it, in the next column, will be found the logarithm, with its characteristic.

Thus, opposite 13 is 1. To find tht Logarithm of any Number consisting of three Figures. The logarithm of every number between and is some number between 2 and 3, ie, is 2 plus a fraction, and so on. This table is used in Navigation for correcting the middle latitude The given middle latitude is to be found either in the first or last vertical column, opposite to which, and under the given difference of latitude, is inserted the proper correction in minutes, to be added to the middle latitude to obtain the latitude in which the meridian distance is accu rately When the first two figures of the decimal are the same for several successive logarithms, they are not repeated for each, but, being used once, are then left to be supplied.

In the column headed D are the mean or average differences of the ten logarithms against which they are placed. When the given number is any integer of ONE orThank you for visiting nature. You are using a browser version with limited support for CSS.

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A Nature Research Journal. WHAT Napier actually gives in his table is a series of natural sines with a corresponding series of logarithms which diminish as the sines increase. If a Napierian logarithm is considered to be the logarithm of the sine opposite to which it stands, the base is approximately e 1 ; but we may, if we like, regard the logarithms as logarithms of cosecants, and the base is then approximately e.

Reprints and Permissions. The Base of Napier's Logarithms. Nature 69, Download citation. Issue Date : 21 April By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate. Advanced search. Skip to main content. Abstract WHAT Napier actually gives in his table is a series of natural sines with a corresponding series of logarithms which diminish as the sines increase.

Access through your institution. Buy or subscribe. Download PDF. Authors G. View author publications. You can also search for this author in PubMed Google Scholar. Rights and permissions Reprints and Permissions.

About this article Cite this article M. Comments By submitting a comment you agree to abide by our Terms and Community Guidelines. Nature menu. Nature Research menu.

Search Article search Search. Close banner Close. Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily. Enter your email address. Sign up. Get the most important science stories of the day, free in your inbox.We can observe that the table of natural sines and natural cosines are generally divided into the following parts.

They are the following:. This part of the table is known as Mean Difference Column. Solved examples using the table of natural sines and natural cosines:. Then we move horizontally to the right at the top of the column headed by 0' and read the figure 0. Then we move horizontally to the left at the bottom of the row above the column 0' and read the figure 0.

Then we move horizontally to the right at the top of the column headed by 30' and read the figure 0. Then we move horizontally to the left at the bottom of the row above the column 50' and read the figure 0. Then we move horizontally to the right at the top of the column headed by 20' and read the figure 0.

In fact, implies 0. Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

All Rights Reserved. Trigonometric Table of Sine and Cosine. Comments Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question. I promise to use it only to send you Math Only Math.

Then Don't worry — your e-mail address is totally secure.L ogarithms had originally developed to simplify complex arithmetic calculations.

They designed to transform multiplicative processes into additive ones. Anti-log can be found out from anti-log table in the same manner as log, the main difference is that an anti-log table contains numbers from. Anti-log tables are used to find the anti-log of the decimal part.

I have submitted these charts for your convenience. I am Muhammad Farooq, Site owner of www. Muhammad Farooq. Chinmay khuntia. Kalpna Pathak. I am not able to understand this table I am sure this can help somebody but first should make him understand the differences between one number and that I request you please make us understand the main differences so that it can be useful for us else it is very knowledgeable thing. Thank you.

Sunday quotes. Your email address will not be published. Education funding is a big topic not only among universities and other educational institutions but also among various The protection of your child is your top priority as a parent.

However, due to some factors, you When it comes to managing inventory, the accuracy of records is vital because it serves as an ultimate Learning management systems have reshaped the corporate and institutional learning space by making learning accessible anytime, anywhere, with As more and more people turn to the internet for medical advice and research, it becomes even more Artificial intelligence is permeating into all sectors and transforming how business is done.

The classroom has not been Sales prospecting refer to the process of looking for potential clients, customers, or buyers to develop new businessTHE following treatise constitutes the third volume of a course of Mathematics designed for colleges and high schools, and is prepared upon substantially the same model as the works on Algebra and Geometry.

It does not profess to embody every thing which is known on the subject of Trigonometry, but it contains those principles which are most important on account of their applications, or their connection with other parts of a course of mathematical study.

The aim has been to render every principle intelligible, not by the repetition of superfluous words, but by the use of precise and appropriate language.

Whenever it could conveniently be done, the most important principles have been reduced to the form of theorems or rules, which are distinguished by the use of italic letters, and are designed to be committed to memory. The most important instruments used in Surveying are fully described, and are illustrated by drawings. The computations are all made by the aid of natural numbers, or with logarithms to six places; and by means of the accompanying tables, such computations can be performed with great facility and precision This volume, having been used by several successive classes, has been subjected to the severest scrutiny, and the present edition embodies all the alterations which have been suggested by experience in the recitation room.

BOOK I. Nature of Logarithms Areas of Figures bounded by Right Lines Par Explanation of the Vernier Right-angled Spherical Triangles Logarithms are numbers designed to diminish the labor of Multiplication and Division, by substituting in their stead Addition and Subtraction. All numbers are regarded as powers of some one number, which is called the base of the system; and the exponent of that power of the base which is equal to a given number, is called the logarithm of that number.

The base of the common system of logarithms called, from their inventor, Briggs' logarithms is the number Hence all numbers are to be regarded as powers of The logarithm of every num.

The logarithm of every number between and is some number between 2 and 3, i. The preceding principles may be extended to fractions by means of negative exponents.

## Logarithmic, trigonometric, and mathematical tables for artillery

Hence it appears that the logarithm of every number between 1 and 0. The logarithms of most numbers, therefore, consist of an integer and a fraction. The integral part is called the characteristic, and may be known from the following RULE.

The characteristic of the logarithm of any number greate7 than unity, is one less than the number of integral figures in the given number.

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