# The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

H. Howe, 1831 - Measurement - 370 pages
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### Contents

 LOGARITHMS 1 TRIGONOMETRY 49 Page 147 49 22 58 41 66 47 91 68 123 82
 Hadleys Quadrant 51 SURVEYING Section I Surveying a field by measuring round 57 Other methods of surveying 73 Laying out and dividing lands 82 Levelling 86 The Magnetic Needle 92 Notes Tables Page 95 1 98

 137 94 HEIGHTS AND DISTANCES 1 NAVIGATION Section I Plane Sailing 15 Parallel and Middle Latitude Sailing 25 Mercators Sailing 32 Traverse Sailing 40 Miscellaneous Articles The plane Chart 45 Mercators Chart 46 Oblique Sailing 47 Current Sailing 49
 OFF 15 101 25 108 51 110 57 111 82 113 86 92 95 106

### Popular passages

Page 78 - 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 29 - 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 36 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 47 - 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 54 - ADB, (Fig. 6.) be an arc, of which AB is the chord, . BF the sine, and AF the versed sine. The angle ABH is a right angle, (Euc. 31. 3.) and the triangles ABH, and ABF, are similar.
Page 17 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 9 - RULE. Find the area of the sector which has the same arc, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Page 7 - Or, multiply the whole diameter into the whole circumference, and take i of the product. The area of a circle is equal to the product of half the diameter into half the circumference; (Sup. Euc. 5, 1.) or which is the same thing, { the product of the diameter and circumference.
Page 2 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Page 92 - For, by art. 14, the decimal part of the logarithm of any number is the same, as that of the number multiplied into 10, 100, &c.