## A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical Applications |

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### Other editions - View all

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle No preview available - 2014 |

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... John Bonnycastle No preview available - 2018 |

### Common terms and phrases

A B C acute added adjacent altitude ambiguous angle apparent base become CALCULATION centre chords circle complement cosec cosine describe diameter diff difference distance draw equal equation Example expressions Extend extent will reach feet former formulæ given given side gives greater greater than 90 half height Hence horizon hypothenuse latitude latter less than 90 logarithms longitude manner means measured meridian moon's object oblique oblique-angled observed obtain opposite opposite angle passing perpendicular plane plane triangle points pole PROBLEM projected quadrant radius remaining required to find right ascension right-angled spherical triangle rising RULE scale semitangent side side AC sines sphere spherical triangle ABC star substituted supplement tables taken tangents THEOREM Trigonometry true unlike whence

### Popular passages

Page xxii - 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 xxvi - ... for the second term, and the greater for the first ; and in either case multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as the third term.

Page 299 - 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 333 - The sum of any two sides of a spherical triangle is greater than the third side, and their difference is less than the third side.

Page 1 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...

Page 5 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

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

Page 161 - The AMPLITUDE of any object in the heavens is an arc of the horizon, contained between the centre of the object when rising, or setting, and the east or west points of the horizon. Or, it is...

Page 55 - Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them.