## Spherical trigonometry |

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### Innhold

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### Vanlige uttrykk og setninger

adjacent Angle againſt alſo Altitude Ambiguity Analemma Analogy Arch B L E M Baſe becauſe C H A Caſe Center Chords Co-fine Co-tangent Compaſſes Complement conſequently Declination Demonſtration deſcribe Dial Diameter Difference Diſtance draw Eaſt Ecliptic Equinoëtial find the Angle find the Hypothenuſ find the Leg find the Side firſt greateſt Half-Tangent Horizon Hour-Lines Houſe Inſtrument Interſe&tion IO.OOOOOOO laſt Latitude leſs leſſer Longitude meaſured Meridian moſt muſt Numbers Oblique Circle obſerve oppoſite Parallel paſſing Perpendicular Plane Point Pole Poſition Praffice Primitive Prob Projećtion Quadrant Radius Right Aſcenſion Right Line Right-angled Spherical Triangles Riſing Rob L E M ſaid ſame ſay ſet ſhall ſhew Sine ſix ſolving ſome ſought Sphere Spherical Trigonometry ſuch Sun's Suppoſe Tangent of half Theorem theſe thoſe thro Uſe Weſt whoſe

### Populære avsnitt

Side 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...

Side 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Side 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.

Side 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.

Side 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.

Side 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.

Side 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.

Side 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.

Side 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.

Side 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.