Spherical trigonometryJ. Noon, 1736 |
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Página x
... Houses Prob . 3. To find the fame above the 12th , 8th , 2d , and 6th Houses Prob . 4. To find the Cufp of the 4th and 10th House -- 275 ibid . 276 Prob . 5. To find the Cusp of the Horoscope , and Defcen- dant 277 Prob . 6. To find the ...
... Houses Prob . 3. To find the fame above the 12th , 8th , 2d , and 6th Houses Prob . 4. To find the Cufp of the 4th and 10th House -- 275 ibid . 276 Prob . 5. To find the Cusp of the Horoscope , and Defcen- dant 277 Prob . 6. To find the ...
Página 270
... into 12 Por- tions , which they call Houfes , by Domifying Circles , or Circles of Pofition , are as follows . 1. Ptolomy 1. Ptolomy divi- ded the Heavens in- to twelve Houses 270 Sph . Trigonometry applied to Aftrology ,
... into 12 Por- tions , which they call Houfes , by Domifying Circles , or Circles of Pofition , are as follows . 1. Ptolomy 1. Ptolomy divi- ded the Heavens in- to twelve Houses 270 Sph . Trigonometry applied to Aftrology ,
Página 271
... Houses in the Heaven to be determined by do mifying Circles , or Circles of Pofition drawn through the Poles of the World , and every 30 De- H Æ 12 grees of the Equi- noctial ; and where S thefe Circles inter- N fect the Ecliptic , are ...
... Houses in the Heaven to be determined by do mifying Circles , or Circles of Pofition drawn through the Poles of the World , and every 30 De- H Æ 12 grees of the Equi- noctial ; and where S thefe Circles inter- N fect the Ecliptic , are ...
Página 272
... Houses ; as in the Diagram hereto annexed . 4. Regiomontanus divides the Coeleftial Houses by Circles of Pofition , paffing thro ' the Interfection of the Meridian and Horizon , and cut- H ting the Equinoctial in every 30 Degrees from ...
... Houses ; as in the Diagram hereto annexed . 4. Regiomontanus divides the Coeleftial Houses by Circles of Pofition , paffing thro ' the Interfection of the Meridian and Horizon , and cut- H ting the Equinoctial in every 30 Degrees from ...
Página 273
... House or Manfion in the Figure , for any particular Time and Place . PROBLEM I. Let it be required to erect a Scheme or Figure of the Heavens at Chichester , Lat . 50 ° 56 ′ , for May the 12th Day , at 36 ' 40 " paft 10 at Night , A. D. ...
... House or Manfion in the Figure , for any particular Time and Place . PROBLEM I. Let it be required to erect a Scheme or Figure of the Heavens at Chichester , Lat . 50 ° 56 ′ , for May the 12th Day , at 36 ' 40 " paft 10 at Night , A. D. ...
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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.