## Spherical trigonometry |

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### Common terms and phrases

alſo Altitude Ambiguity Analogy Arch Aſcenſion Baſe becauſe Cafe Caſe Center Chords Circle Co-ſine Complement Declination Demonſtration deſcribe Dial Diameter Difference Direct Diſtance draw drawn Eaſt Ecliptic equal Equinoctial Extend fall fame find the Angle find the Side firſt give given Globe greater half Half-Tangent Hence Horizon Hour Houſe Hypothenuſe Interſection laſt Latitude leſs Line London Longitude Manner Mean meaſured Meridian Method muſt Nature North Numbers Oblique Oblique Circle oppoſite Parallel Perpendicular Place Plain Plane Point Pole Poſition Practice Primitive PROBLEM Projection Quadrant Radius Right Right Line Right-angled Right-angled Spherical Triangles ſame Scheme ſhall Side Sine South Sphere Star ſuch Sun's Suppoſe Tables Tangent Tangent of half Theorem thereof theſe thoſe thro Uſe whoſe

### 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.