Spherical trigonometryJ. Noon, 1736 |
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Página 6
... each other . The Zenith is the Point which is Vertical to us in the Heavens , or juft over our Heads as Z ; and the Nadir is oppofite 1 thereto , . thereto , under our Feet , as X. And these 67 Principles of the Spherical Doctrine ..
... each other . The Zenith is the Point which is Vertical to us in the Heavens , or juft over our Heads as Z ; and the Nadir is oppofite 1 thereto , . thereto , under our Feet , as X. And these 67 Principles of the Spherical Doctrine ..
Página 7
Benjamin Martin. thereto , under our Feet , as X. And these two Points are the Poles of the Horizon HO . · XXXV . Azimuths or Vertical Circles are Great Circles of the Sphere concurring and interfecting each other in the Zenith and Nadir ...
Benjamin Martin. thereto , under our Feet , as X. And these two Points are the Poles of the Horizon HO . · XXXV . Azimuths or Vertical Circles are Great Circles of the Sphere concurring and interfecting each other in the Zenith and Nadir ...
Página 60
... = CF 401078 And the Half - Tangent of 75 ° C f 76732 = These added , make the Diameter f F = 477810 The Half of which is the Semidia . Ef 238905 From Ef = 238905 From that Semidiameter Subftra & t There 60 The Projection of the Sphere.
... = CF 401078 And the Half - Tangent of 75 ° C f 76732 = These added , make the Diameter f F = 477810 The Half of which is the Semidia . Ef 238905 From Ef = 238905 From that Semidiameter Subftra & t There 60 The Projection of the Sphere.
Página 67
... these I have drawn only one , viz . the Prime Vertical WZE . 9. As in this Projection , all the Parallels of Decli- nation are compleat Circles concentric with the Primi- tive ; fo on the reverfe , the Parallels of Altitude , or ...
... these I have drawn only one , viz . the Prime Vertical WZE . 9. As in this Projection , all the Parallels of Decli- nation are compleat Circles concentric with the Primi- tive ; fo on the reverfe , the Parallels of Altitude , or ...
Página 68
... these three Things . First , The fame Circles which there terminated in the Equinoc- tial , are here continued beyond to the Tropic of Ca- pricorn . Secondly , There only one Half of the Eclip- tic could be drawn , but here the whole ...
... these three Things . First , The fame Circles which there terminated in the Equinoc- tial , are here continued beyond to the Tropic of Ca- pricorn . Secondly , There only one Half of the Eclip- tic could be drawn , but here the whole ...
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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.