W. and J. Mount, 1761 - Navigation - 528 pages

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### Contents

 Section 1 3 Section 2 12 Section 3 62 Section 4 77 Section 5 82 Section 6 86 Section 7 89 Section 8 111
 Section 14 161 Section 15 179 Section 16 206 Section 17 219 Section 18 277 Section 19 289 Section 20 321 Section 21 345

 Section 9 119 Section 10 130 Section 11 140 Section 12 143 Section 13 160
 Section 22 350 Section 23 360 Section 24 366 Section 25 367 Section 26 392

### Popular passages

Page 4 - In any plane triangle, the sum of tfte two sides containing either angle, is to their difference, as the tangent of half the sum of the other two angles, to the tangent of half their difference.
Page 189 - Multiply the moon's age by 4, and divide the product by 5 ; the quotient...
Page 4 - Then as the sum of the sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference (Theor.
Page 4 - ... the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base.
Page 235 - ... of the opposite parts. All of the ten formulas just listed can easily be derived from these rules. Oblique Spherical Triangles.— Formulas for the solution of oblique spherical triangles are developed from those for right spherical triangles. The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a sin b sin с...
Page 1 - Circumference of every Circle is fuppofed to be Divided into 360 equal Parts called Degrees, and each Degree...
Page 28 - Then radius : log. 179-3 :: s. 8° 31' : log. ofi6'5i; which doubled is the diftance between Edyftone and Lizard 53-04 miles. For the other two, there are 2 fides, and an angle oppofite to one of them, given, to find the other fide.
Page 236 - Day, fubtradt the Complement of the Sun's Altitude, noting the half Sum, and the Remainder. 3. Then to find the Sun's Azimuth, it's thus ; to the Complement Arithmetic of the Sines of the Complement of the Latitude, and Complement of the Sun's Altitude, add the Sines of the aforefaid...
Page 235 - Perpendicular, let it fall from the End of a given Side, and oppofite to a given Angle...
Page 236 - The Tangents of the Bafes are proportional to the Tangents of the Angle at the Vertex.