Spherical trigonometryJ. Noon, 1736 - Plane trigonometry |
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Page vii
... XIX . 166 Method of folving Oblique Spherical Triangles without a Perpendicular with a proper Scheme for the Demon ftration thereof ; a 2 * 18 Chap . Chap . XX . The Solution of the fix Cafes The Contents of this Book . vii.
... XIX . 166 Method of folving Oblique Spherical Triangles without a Perpendicular with a proper Scheme for the Demon ftration thereof ; a 2 * 18 Chap . Chap . XX . The Solution of the fix Cafes The Contents of this Book . vii.
Page x
... Scheme or Figure of the Heavens for the Lat . of Chichester 50 ° 56 ' , May the 12th , at Night , 1735 Prob . 2. To find the Pole's Elevation above the Circles of the 11th , 9th , 3d , and 5th Houses Prob . 3. To find the fame above the ...
... Scheme or Figure of the Heavens for the Lat . of Chichester 50 ° 56 ' , May the 12th , at Night , 1735 Prob . 2. To find the Pole's Elevation above the Circles of the 11th , 9th , 3d , and 5th Houses Prob . 3. To find the fame above the ...
Page 2
... Schemes in the Orthographic Projection . V. The Stereographic Projection is a Delineation or Representation of the Circles of the Sphere , as they ap- pear to an Eye placed on any Point of its Surface ; the Projection of the Circles in ...
... Schemes in the Orthographic Projection . V. The Stereographic Projection is a Delineation or Representation of the Circles of the Sphere , as they ap- pear to an Eye placed on any Point of its Surface ; the Projection of the Circles in ...
Page 4
... Scheme therein . XXII . Planifphere is a Projection of the Sphere on a plain Surface ; and is only a general Name for the Orthographic and Stereographic Projections aforego- ing . XXIII . The ! * XXIII . The Nearest Distance on the ...
... Scheme therein . XXII . Planifphere is a Projection of the Sphere on a plain Surface ; and is only a general Name for the Orthographic and Stereographic Projections aforego- ing . XXIII . The ! * XXIII . The Nearest Distance on the ...
Page 9
... Schemes fo . luftration , to which I have all along referred . And though no Perfon can pretend to ftudy this kind of Science without a previous Knowledge of those VOL . II . C heir Il- Things , Things , which are the fubject Matter of ...
... Schemes fo . luftration , to which I have all along referred . And though no Perfon can pretend to ftudy this kind of Science without a previous Knowledge of those VOL . II . C heir Il- Things , Things , which are the fubject Matter of ...
Contents
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Common terms and phrases
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
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.