Spherical trigonometry |
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Common terms and phrases
alfo Altitude Ambiguity Analogy Arch Bafe becauſe Cafe Center Chords Co-fine Co-tangent Complement Cufp Declination defcribe Demonftration Dial Diameter Difference Direct Diſtance divided draw drawn Eaft Ecliptic equal Equinoctial fall fame fhall find the Angle find the Side firſt fought fuch fuppofe give given Globe greater half Half-Tangent Hence Horizon Hour Houſes Hypothenufe Interfection laft Latitude lefs Line London Longitude Manner meaſured Meridian Method muſt Nature North Note Numbers Oblique Circle Parallel Perpendicular Place Plane Point Pole Practice Primitive Prob PROBLEM Projection Quadrant Radius Right Right Afcenfion Right Line Right-angled Scheme Side Sine South Sphere Spherical Triangle Star Sun's Tangent Tangent of half thefe THEOREM thereof theſe Things thofe thoſe thro Wherefore whofe whole
Popular passages
Page 75 - The three angles of a spherical triangle are together greater than two right angles and less than six right angles. Let A, B, C be the angles of a spherical triangle ; let a', b', o' be the sides of the polar triangle. Then by Art. 30, a...
Page 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 186 - The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles.
Page 186 - The cosine of half the sum of two angles of a spherical triangle is to the cosine of half their difference as the tangent of half the included side is to the tangent of half the sum of the other two sides.
Page 186 - 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.
Page 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Page 5 - Equinoctial (counted from the beginning of Aries) which cometh to the Meridian with the Sun or Stars, or with any portion of the Eclyptick.
Page 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Page 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Page 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.
Bibliographic information
| Title | Spherical trigonometry Volume 2 of The Young Trigonometer's Compleat Guide: Being the Mystery and Rationale of Plain Trigonometry Made Clear and Easy, Benjamin Martin |
| Author | Benjamin Martin |
| Publisher | J. Noon, 1736 |
| Original from | the University of Michigan |
| Digitized | 11 Jun 2007 |
| Export Citation | BiBTeX EndNote RefMan |