Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 97
Side 5
... 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 twelve constellated Animals , whofe Names and Cha- racters follow ...
... 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 twelve constellated Animals , whofe Names and Cha- racters follow ...
Side 7
... alfo .. XXXIX . The Almacanthars , or Parallels of Alti- tude , are fmall Circles parallel to the Horizon paffing thro ' the Degrees of the Meridian between the Zenith and Horizon ; as P L. XL . Parallels of Latitude ( on the ...
... alfo .. XXXIX . The Almacanthars , or Parallels of Alti- tude , are fmall Circles parallel to the Horizon paffing thro ' the Degrees of the Meridian between the Zenith and Horizon ; as P L. XL . Parallels of Latitude ( on the ...
Side 9
... alfo cal- led the Amplitude Ortive , and the Amplitude of Set- ting , the Occafive Amplitude . ch the Sub- Geometry he better finition , Thefe are the Fundamentals on stance of the following Tract of Spher . does depend . And that the ...
... alfo cal- led the Amplitude Ortive , and the Amplitude of Set- ting , the Occafive Amplitude . ch the Sub- Geometry he better finition , Thefe are the Fundamentals on stance of the following Tract of Spher . does depend . And that the ...
Side 13
... alfo ; fo E A , HB , will touch the Circle in A , and B ; Wherefore all other Lines CF , DG , drawn perpendicular to the Line E H , or AB ; will fall within the Perpendiculars A E , and B H , and confequently the Line EH , is greater ...
... alfo ; fo E A , HB , will touch the Circle in A , and B ; Wherefore all other Lines CF , DG , drawn perpendicular to the Line E H , or AB ; will fall within the Perpendiculars A E , and B H , and confequently the Line EH , is greater ...
Side 14
... alfo it follows , that a Circle ftanding at right Angles with the Plane of the Projection , is alfo projected into a Right Line equal to its Diameter , fince the Extremities , or Diameter , of a Semicircle and the Whole Circle are all ...
... alfo it follows , that a Circle ftanding at right Angles with the Plane of the Projection , is alfo projected into a Right Line equal to its Diameter , fince the Extremities , or Diameter , of a Semicircle and the Whole Circle are all ...
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.