Spherical trigonometryJ. Noon, 1736 |
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Página i
... Circle . V. Forty One Theorems explaining the Nature and Rationale of Spherical Triangles . VI . A Synopsis of all the Cafes of a Right Angled Spherical Triangle in all their Va- rieties ; and the Solution thereof by the following ...
... Circle . V. Forty One Theorems explaining the Nature and Rationale of Spherical Triangles . VI . A Synopsis of all the Cafes of a Right Angled Spherical Triangle in all their Va- rieties ; and the Solution thereof by the following ...
Página vii
... Right - angled Spherical Triangles ; with a Synopfis of the Whole Doctrine Chap . IX . 98 Method 1. Of folving Right - angled Spherical Triangles by the Logarithmetic Canon of Sines and Tangents Method 2. By Natural Sines and Tangents ...
... Right - angled Spherical Triangles ; with a Synopfis of the Whole Doctrine Chap . IX . 98 Method 1. Of folving Right - angled Spherical Triangles by the Logarithmetic Canon of Sines and Tangents Method 2. By Natural Sines and Tangents ...
Página viii
... 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 Sun's Pofition 228 Prob . 8. To find the Sun's Amplitude of Rifing and Setting ibid . Prob . 9. To find ...
... 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 Sun's Pofition 228 Prob . 8. To find the Sun's Amplitude of Rifing and Setting ibid . Prob . 9. To find ...
Página 3
Benjamin Martin. IX . A Great Circle of the Sphere , is that whofe Plane paffeth ... Right Circle is that whofe Plane ftands at Right Angles with the Plane of ... Spherical Angle is that which is contained under or between the Arches of ...
Benjamin Martin. IX . A Great Circle of the Sphere , is that whofe Plane paffeth ... Right Circle is that whofe Plane ftands at Right Angles with the Plane of ... Spherical Angle is that which is contained under or between the Arches of ...
Página 16
... Angle B FA NIP , and both right ones ; also because NP , and P I , are parallel to BA , and FA ; the Angle BAF = NPI . Therefore the Triangles B E A , NIP , are Similar ; and FA : IP :: BA : NP . Therefore it will be FAq , IPq :: BAq ...
... Angle B FA NIP , and both right ones ; also because NP , and P I , are parallel to BA , and FA ; the Angle BAF = NPI . Therefore the Triangles B E A , NIP , are Similar ; and FA : IP :: BA : NP . Therefore it will be FAq , IPq :: BAq ...
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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.