Plane trigonometry, by S.L. Loney.

CONTENTS. PART I. CHAP. PAGE I. Measurement of angles. Sexagesimal and Centesimal Measure...... 1 Circular, or Radian, Measure.... 5 II. Trigonometrical Ratios for angles less than a right angle..... 19 Values for angles of 45~, 30~, 60~, 90~ and 0~.. 32 III. Simple problems in Heights and Distances.. 40 IV. Applications of algebraic signs to Trigonometry. 47 Tracing the changes in the ratios. 52 V. Trigonometrical ratios of angles of any size. Ratios for - 0, 90~ - O, 90~ +...... 64 VI. General expressions for all angles having a given trigonometrical ratio..... 76 VII. Ratios of the sum and difference of two angles. 87 Product Formulae...... 93 VIII. Ratios of multiple and submultiple angles.. 105 Explanation of ambiguities.... 117 Angles of 18~, 36~, and 9~.. 126 IX. Identities and trigonometrical equations... 131 X. Logarithms....... 146 Tables of logarithms...... 152

/ 534
Pages

Actions

file_download Download Options Download this page PDF - Pages #1-20 Image - Page #1 Plain Text - Page #1

About this Item

Title
Plane trigonometry, by S.L. Loney.
Author
Loney, Sidney Luxton, 1860-
Canvas
Page viewer.nopagenum
Publication
Cambridge [Eng.]: University press,
1893.
Subject terms
Plane trigonometry.

Technical Details

Link to this Item
https://name.umdl.umich.edu/abn7298.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abn7298.0001.001/13

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abn7298.0001.001

Cite this Item

Full citation
"Plane trigonometry, by S.L. Loney." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn7298.0001.001. University of Michigan Library Digital Collections. Accessed May 2, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.