# A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the Nature and Use of Logarithms : Being the Second Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges

Published and sold by Hezekiah Howe, 1831 - 155 pages
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### Contents

 LOGARITHMS 1 II 10 Methods of calculating by logarithms 17 Different Systems of Logarithms 42 Sines Tangents Secants 49 Explanation of the Trigonometrical 58 Solutions of Right angled Triangles 66 Solutions of Oblique angled Triangles 80
 32 153 Page 1 8888888 22 58 41 66 47 91 68 APPENDIX PART I 72 PART II 80

 Description and use of Gunters Scale 97 Trigonometrical Analysis 105 Computation of the Canon 123 Table of Natural Sines and Tangents 147
 123 82 Notes 86 137 94 888883 27

### Popular passages

Page 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 43 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Page 50 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 69 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Page 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 89 - Divide the height of the segment by the diameter of the circle ; look for the quotient in the column of heights in the table ; take out the corresponding number in the column of areas ; and multiply it by the square of the diameter.