Spherical trigonometryJ. Noon, 1736 |
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Página ix
... Latitude 252 Prob . 23. To find the Hour of the Night 254 Prob . 24. To find the Culminating Point in the Ecliptic - Prob . 25. To find the Meridian Angle 256 257 Prob . 26. To find the Declination of the Culmina- ting Point Prob . 27 ...
... Latitude 252 Prob . 23. To find the Hour of the Night 254 Prob . 24. To find the Culminating Point in the Ecliptic - Prob . 25. To find the Meridian Angle 256 257 Prob . 26. To find the Declination of the Culmina- ting Point Prob . 27 ...
Página x
... Latitude and Longitude of all the most noted Cities in the Universe ; and the Problems ensuing , viz . Prob . 1. To find the Distance between any two Cities , differing only in Latitude - 286 294 Prob . 2. To find the Distance of two ...
... Latitude and Longitude of all the most noted Cities in the Universe ; and the Problems ensuing , viz . Prob . 1. To find the Distance between any two Cities , differing only in Latitude - 286 294 Prob . 2. To find the Distance of two ...
Página xi
... Latitude 297 Prob . 5. To find the Distance , Pofition , & c . of any Places differing both in Latitude and Longitude 299 Prob . 6. To Places lying one in South Latitude , the other in North Latitude , to find their Difference of Longi ...
... Latitude 297 Prob . 5. To find the Distance , Pofition , & c . of any Places differing both in Latitude and Longitude 299 Prob . 6. To Places lying one in South Latitude , the other in North Latitude , to find their Difference of Longi ...
Página xii
... Latitude wherein they become Horizontal ibid . Prob . 6. To reduce Direct North Recliners to the new Latitude 329 Prob . 7. To reduce South Declining Reclining Planes to a new Latitude and Declination 331 Prob . 8. To reduce North ...
... Latitude wherein they become Horizontal ibid . Prob . 6. To reduce Direct North Recliners to the new Latitude 329 Prob . 7. To reduce South Declining Reclining Planes to a new Latitude and Declination 331 Prob . 8. To reduce North ...
Página 5
... Latitude or Deviation of any of the Planets ; in this Circle alfo are contained all the twelve Signs or Conftellations , thro ' which the Sun paffeth once a Year in the Ecliptic .. XXIX . The Twelve Signs of the Zodiac , are those ...
... Latitude or Deviation of any of the Planets ; in this Circle alfo are contained all the twelve Signs or Conftellations , thro ' which the Sun paffeth once a Year in the Ecliptic .. XXIX . The Twelve Signs of the Zodiac , are those ...
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Términos y frases comunes
adjacent Angle alfo Altitude Analemma Analogy Arch Azimuth Bafe Baſe becauſe BIFH Cafe Center Chords Circles of Latitude Co-fine Co-tangent Colure Complement confequently Cufp Declination defcribe Degrees Demonftration Dial Diameter Diſtance draw E. D. THEOREM Eaft Ecliptic equal Equinoctial faid fame fhall fhew find the Angle find the Hypothenufe find the Leg find the Side firft firſt folving fuch fuppofe given the Side Globe greateſt half Sum Half-Tangent Horizon Hour-Lines Houſes Interfection laft Latitude leffer lefs Longitude meaſured Meridian muſt North Numbers Oblique Circle oppofite paffeth Parallel Perpendicular Plane recline Pofition Point Pole Prime Vertical Prob PROBLEM Projection Quadrant Radius Reclining Plane Right Afcenfion Right Line Right-angled Spherical Triangles Scheme Semicircle Sine Sine of half Sphere Spherical Angle Spherical Trigonometry Sun's Tangent of half thefe theſe thofe thoſe Tropic of Capricorn Weft Wherefore whofe
Pasajes populares
Página 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...
Página 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 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.
Página 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Página 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.
Página 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Página 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Página 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.