Spherical trigonometryJ. Noon, 1736 |
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Σελίδα iii
... must be allowed that he would have a more fatisfactory Notion of the Terms of the Art , whereby he would have a more clear and lafting Idea of it impreffed on his Mind . He that will be a confiderable Proficient in the the Mathematicks ...
... must be allowed that he would have a more fatisfactory Notion of the Terms of the Art , whereby he would have a more clear and lafting Idea of it impreffed on his Mind . He that will be a confiderable Proficient in the the Mathematicks ...
Σελίδα iv
Benjamin Martin. the Mathematicks , must not make it th musement of a few leifure Hours , but great Refolution and Application of Mind himfelf to the Study of it ; for to arri a good Degree of Perfection , will requir Work and Toil of ...
Benjamin Martin. the Mathematicks , must not make it th musement of a few leifure Hours , but great Refolution and Application of Mind himfelf to the Study of it ; for to arri a good Degree of Perfection , will requir Work and Toil of ...
Σελίδα 45
... must be fo far diftant from the Center C , that the Tangent from C , and the Secant from O may interfect each other . Otherwise it is im- poffible . PROBLEM IV . To draw a Great Circle thro ' any two Points given within the Primitive ...
... must be fo far diftant from the Center C , that the Tangent from C , and the Secant from O may interfect each other . Otherwise it is im- poffible . PROBLEM IV . To draw a Great Circle thro ' any two Points given within the Primitive ...
Σελίδα 67
... must be confidered , that ' tis the Nor- thern Part , or half of it , that is elevated above the Equinoctial on the North ; and because the Eleva- tion is 38 ° 30 ' , and it cuts the Equinoctial in the Points of Eaft and Weft , as E , W ...
... must be confidered , that ' tis the Nor- thern Part , or half of it , that is elevated above the Equinoctial on the North ; and because the Eleva- tion is 38 ° 30 ' , and it cuts the Equinoctial in the Points of Eaft and Weft , as E , W ...
Σελίδα 118
... must be performed by Sines and Tangents together . 2. But if the Extremes be Disjunct , then the Ana- logy will confist of Sines only . 3. If the Side or Angle fought chance to be the Middle Part , then muft Radius begin the Analogy ...
... must be performed by Sines and Tangents together . 2. But if the Extremes be Disjunct , then the Ana- logy will confist of Sines only . 3. If the Side or Angle fought chance to be the Middle Part , then muft Radius begin the Analogy ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
Σελίδα 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.
Σελίδα 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
Σελίδα 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
Σελίδα 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.