## An Introduction to the Theory and Practice of Plain and Spherical Trigonometry: And the Stereographic Projection of the Sphere : Including the Theory of Navigation ... |

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### Other editions - View all

An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2014 |

An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2015 |

### Common terms and phrases

acute adjacent angle ambiguous angle opposite Answer apparent altitude azimuth base centre circle Co-tang complement construction cosec cosine degrees diff difference of latitude draw ecliptic equal equation Euclid find the angle find the side formulae given angle given side greater Greenwich half the sum Hence horizon hypoth hypothenuse less logarithm measure meridian moon's Naut Nautical Almanac noon North obtuse opposite angle parallax parallel plane triangle Plate pole primitive PROPOSITION quadrant Rad x sine radius radē rhumb line right ascension right-angled spherical triangle right-angled triangle RULE scale of chords SCHOLIUM secant semi-tangents side AB side Ac side opposite sine of half Slne species sphere spherical angle spherical triangle ABC star star's subtract sun's declination supplement tang tangent of half three angles three sides Trigonometry versed sine

### Popular passages

Page 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 4 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.

Page 30 - The CO-SINE of an arc is the sine of the complement of that arc as L.

Page 109 - 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 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.

Page 138 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

Page 260 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.

Page 30 - The SECANT of an arc, is a straight line drawn from the center, through one end of the arc, and extended to the tangent which is drawn from the other end.

Page 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.