A First Course in Nomography (Classic Reprint) - Couverture souple

S. Brodetsky

 
9781331952480: A First Course in Nomography (Classic Reprint)

Synopsis

Master practical nomograms with hands-on methods for fast, graphical calculation. This guide explains how to transform regular scales into logarithmic ones and how to build nomograms that handle multiplication, division, and more complex expressions. Clear steps and examples help you learn by doing, not by theory alone.

This edition presents concrete, repeatable techniques you can apply in engineering and science. It covers converting between scales, constructing two-parallel-scale and multi-parameter nomograms, and using these tools for real-world formulas. The emphasis is on usable methods and checks that keep results reliable.


  • How to turn simple scales into 1-to-10 logarithmic scales and extend ranges with A, B scales.

  • Ways to create nomograms for multiplication, division, and composite equations.

  • Practical examples such as calculating parachute resistance, wing area, and other engineering formulas.

  • Techniques for verifying accuracy and handling cases where a direct diagram isn’t enough.



Ideal for students, engineers, and anyone curious about graphical calculation tools, this book offers a structured path from basic ideas to more advanced nomogram construction.

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Présentation de l'éditeur

An excerpt from the beginning of the INTRODUCTION :

1. Object of Nomography.

We are all familiar with graph-drawing as a means of solving equations. But ordinary graphical methods are often inconvenient, because a separate graph is required for practically each equation we have to solve. Thus, to solve the quadratic equation

x2+x-2=0

we need to draw the graph y=x2+x and find where it is cut by the line y=2. To solve the equation x2+2x-2=0, we must draw the graph y=x2+2x and similarly for other values of the coefficient of x. The object of Nomography is to enable us to solve all equations of a given type by means of one diagram. Thus all quadratic equations of the type x2+ax+b=0 can be solved by means of one graph which can be drawn once for all. In the same way all cubic equations of, say, the form x3+ax+b=0 can be solved graphically by means of one diagram. Such a diagram is called a Nomogram. It is also the object of Nomography to enable us to find the value of a complicated expression graphically. Let us consider, e.g. , the formula for the pressure R in pounds on a flat plate normal to a passing current of air, viz.,

R=0.0194W*SV2 (lbs.),

where W is the weight of the air in pounds per cubic foot, S is the area of the plate in square feet, and V is the relative velocity of the air in feet per second. If the pressure has to be found for a number of different plates at various velocities, it is obviously convenient to have a diagram which, having been constructed once for all, can be used for any values of W, S, and V that are likely to occur.

In the present volume we shall consider in a simple manner how to construct and use nomograms for multiplication and division in formulae like the one for air pressure, as well as the more general methods applicable to easy algebraic and other equations. As an introduction to the nomograms for multiplication and division we shall consider first the construction and use of nomograms for addition and subtraction.

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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