Spherical trigonometryJ. Noon, 1736 |
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النتائج 1-5 من 21
الصفحة viii
... Greatest Declination 225 Prob . 4. To find the Sun's Prefent Declination 226 Prob . 5. To find the Sun's Right Afcenfion 227 Prob . 6. To find the Sun's Place , and Right Afcen- fion otherwise ibid . Prob . 7. To find the Angle of the ...
... Greatest Declination 225 Prob . 4. To find the Sun's Prefent Declination 226 Prob . 5. To find the Sun's Right Afcenfion 227 Prob . 6. To find the Sun's Place , and Right Afcen- fion otherwise ibid . Prob . 7. To find the Angle of the ...
الصفحة 13
... greatest , when ' tis parallel to the Plane of the Projection . Demonftration . Let the Section of the Plane be EH , then ( by Theor . 4. ) the parallel Line AB will be projected into the Line EH , and the Oblique Line CD will be ...
... greatest , when ' tis parallel to the Plane of the Projection . Demonftration . Let the Section of the Plane be EH , then ( by Theor . 4. ) the parallel Line AB will be projected into the Line EH , and the Oblique Line CD will be ...
الصفحة 26
... greatest Declination then is E = 23 ° 30 ' ; its greatest Amplitude is ra = its greatest afcenfional Difference is Aa = it is alfo evident there is then no dark Night , for the Almacanter Ww , which bounds the Twilight and total ...
... greatest Declination then is E = 23 ° 30 ' ; its greatest Amplitude is ra = its greatest afcenfional Difference is Aa = it is alfo evident there is then no dark Night , for the Almacanter Ww , which bounds the Twilight and total ...
الصفحة 39
... greatest and least Distance from the Poles of the Primitive , fet each way from the Center in the Line of Measures . Demonftration . Let the Primitive be DEBC , the Line of Measures BD , the leffer Circle to be pro- jectected FIE ...
... greatest and least Distance from the Poles of the Primitive , fet each way from the Center in the Line of Measures . Demonftration . Let the Primitive be DEBC , the Line of Measures BD , the leffer Circle to be pro- jectected FIE ...
الصفحة 40
... greatest and leaft Distances from the Pole of the Primitive , fet off on one and the fame Side of the Center of the Primitive , in the Line of Measures . Demonftration . Let the Primitive Circle be EBCD , the Line of Measures D B , the ...
... greatest and leaft Distances from the Pole of the Primitive , fet off on one and the fame Side of the Center of the Primitive , in the Line of Measures . Demonftration . Let the Primitive Circle be EBCD , the Line of Measures D B , the ...
المحتوى
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عبارات ومصطلحات مألوفة
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
مقاطع مشهورة
الصفحة 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...
الصفحة 185 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
الصفحة 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.
الصفحة 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.
الصفحة 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.
الصفحة 241 - It commences in the morning and ends in the evening, when the sun is 18° below the horizon.
الصفحة 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.
الصفحة 365 - Dialogue, adapted purpofely to the Capacities of the Youth of both Sexes ; and adorned and illuftrated with variety of Copper- Plates.
الصفحة 75 - Side *»» is the Supplement of the Angle H, and the Angle E of the Side G D.
الصفحة 205 - Superficies to M ; And, as two right Angles are to F, So is half the fpherical Superficies to K.