Excerpt from Elements of Plane Trigonometry, Surveying and Navigation When this is not the case, some error must have occurred, either in the survey or the plotting. If not found in the latter, it should be sought in the field. Such lines and angles being first re-measured, in which it is most probable the error has occurred. The reverse bearing may be taken, as we proceed, as a test of the accuracy of the direct bearing. In the present example it remains only to mark on the plot the place of the tower referred to in the remarks. In order to this, at Awe lay off to the right an angle equal to the bear ing, of the tower at that station, and through this angle draw an indefinite line. We next at the station D lay off to the left an angle equal to the bearing 50 of the tower from that station, and through this angle draw an indefinite line intersecting the former. The point of intersection of the two lines will be the place of the tower on the plot. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.

This fifteen-volume series collects the personal papers of Joseph Henry, who was the first secretary of the Smithsonian Institution, a founder of the American scientific community, and a pioneer experimental physicist in electricity in magnetism. The first five volumes were published under the editorship of Nathan Reingold.

Excerpt from Elements of Plane Trigonometry The applications of trigonometry are very extensive. Some of them will be given in this book. Many others are to be found in surveying, navigation, astronomy, architecture, design, geometry, mechanics, and other branches of mathematics and physics, and in military and civil engineering. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from Elements of Plane and Spherical Trigonometry: With Their Applications to Mensuration, Surveying, and Navigation The 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 super uous 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 im portant instruments used in Surveying are fully described, and are illustrated by drawings. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."