Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 64
Side 1
... equi- distant from its Center . See Fig . 1 . II . A Sphere is an Artificial Instrument confifting of various Circles , Great and Small , put together in a VOL . II . B pro- proper Order and Pofition . And becaufe fuch Cir- cles.
... equi- distant from its Center . See Fig . 1 . II . A Sphere is an Artificial Instrument confifting of various Circles , Great and Small , put together in a VOL . II . B pro- proper Order and Pofition . And becaufe fuch Cir- cles.
Side 2
... Center of an Oblique Circle is measured off of a Scale of Half Tangents , and this Line always paffeth through the Center of the Projecti- on , or is parallel to the Diameter that doth . IX . A Great Circle of the Sphere , is IX . A 2 ...
... Center of an Oblique Circle is measured off of a Scale of Half Tangents , and this Line always paffeth through the Center of the Projecti- on , or is parallel to the Diameter that doth . IX . A Great Circle of the Sphere , is IX . A 2 ...
Side 3
... Center thereof , and whofe : Center is the fame with that of the Sphere ; it also di- videth the Globe or Sphere into two equal Parts ; as Pe Oq , Fig . 3 . X. The Pole of any Great Circle of the Sphere is , that Point in its Surface ...
... Center thereof , and whofe : Center is the fame with that of the Sphere ; it also di- videth the Globe or Sphere into two equal Parts ; as Pe Oq , Fig . 3 . X. The Pole of any Great Circle of the Sphere is , that Point in its Surface ...
Side 8
... Arch of an Azimuth ( in Degrees and Minutes ) con- tained between the Center of the Sun or Star , and the Horizon . XLXIX . Afcen- T XLIX . Afcenfion and Defcenfion is the Rifing and 8 Principles of the Spherical Doctrine .
... Arch of an Azimuth ( in Degrees and Minutes ) con- tained between the Center of the Sun or Star , and the Horizon . XLXIX . Afcen- T XLIX . Afcenfion and Defcenfion is the Rifing and 8 Principles of the Spherical Doctrine .
Side 9
... Center of the Sun or Star , or any Point of the Ecliptic . LI . Oblique Afcenfion is the Arch of the Equi- noctial contained between the Beginning of and r the Horizon at the moment the Sun , Star , or any . Part of the Ecliptic rifeth ...
... Center of the Sun or Star , or any Point of the Ecliptic . LI . Oblique Afcenfion is the Arch of the Equi- noctial contained between the Beginning of and r the Horizon at the moment the Sun , Star , or any . Part of the Ecliptic rifeth ...
Innhold
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Vanlige uttrykk og setninger
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
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.