The Projection and Calculation of the Sphere for Young Sea Officers Being a Complete Initiation Into Nautical Astronomy |
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The Projection and Calculation of the Sphere for Young Sea Officers S M Saxby No preview available - 2018 |
Common terms and phrases
azimuth circle calculation called centre circle by Prob complement construction contained angle cosine cotang declination 20 diff 2 sides draw an oblique Draw diameters Draw the parallel equal equator Euclid example extr conjunct extr disjunct figure Find side formulæ given side gnomonic projection half diff half sum half the difference half the sum horizon hour angle hour circle hypothenuse intersection latitude log sine log tang logarithms meridian meridian altitude Natural Numbers nautical astronomy navigator oblique circle opposite angle parallel of declination perpendicular plane projection radius right angles rule of sines scale of chords scale of semi-tangents secant side 70 side ZP sine diff sine of half sine of middle sine side BC sines 78 small circle sphere spheric angles spheric triangle SPHERIC TRIGONOMETRY stereographic projection sun's place tangent trigonometry vulgar fraction zenith وو وو
Popular passages
Page 16 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Page 18 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 16 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 17 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.
Page 20 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 18 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Page 19 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.
Page 60 - As any one side, Is to the sine of its opposite angle ; So is any other side, To the sine of its opposite angle.
Page 82 - The sine of half the sum of two angles of a spherical triangle is 'to the sine of half their difference as the tangent of half the included side is to the tangent of half the difference of the other two sides.