Spherical trigonometryJ. Noon, 1736 |
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Resultados 1-5 de 45
Página 35
... Half - Tangents . Demonftration . Let the Plane of the Projection be AIBK , and the given Right Circle A E BD ; let ... Tangent of the Angle CEG ; But ( by the Elements ) the faid Angle CEG DCF , and of confequence the Arch C M = ÷ DF ...
... Half - Tangents . Demonftration . Let the Plane of the Projection be AIBK , and the given Right Circle A E BD ; let ... Tangent of the Angle CEG ; But ( by the Elements ) the faid Angle CEG DCF , and of confequence the Arch C M = ÷ DF ...
Página 36
... Tangent of half the Arch DB ; fo the Line CL will be the Half Tangent of DN . Thus is the Semicircle DB E , and confequently th Whole Circle AEB D , evidently projected into Line of Half - Tangents . 2 , E. D , THEOREM VII . The Center ...
... Tangent of half the Arch DB ; fo the Line CL will be the Half Tangent of DN . Thus is the Semicircle DB E , and confequently th Whole Circle AEB D , evidently projected into Line of Half - Tangents . 2 , E. D , THEOREM VII . The Center ...
Página 48
... Half - Tangents thus ; from the Center F , fet the Half - Tangent of 46 ° 30 ' to f , in the Right Circle FE , and and it is done ; for the Arch : - 48 Problems of the Stereographic Projection . To divide any Great Circle into its ...
... Half - Tangents thus ; from the Center F , fet the Half - Tangent of 46 ° 30 ' to f , in the Right Circle FE , and and it is done ; for the Arch : - 48 Problems of the Stereographic Projection . To divide any Great Circle into its ...
Página 49
... Half Tangent I E G M N C , AB CFD · CFCB , of its Distance from the Pole , of the Primitive , defcribe the Circle BGFH ; and that is the Parallel required . VOL . II . H K H Cafe Cafe 2 . as To draw a Parallel to any Problems of the ...
... Half Tangent I E G M N C , AB CFD · CFCB , of its Distance from the Pole , of the Primitive , defcribe the Circle BGFH ; and that is the Parallel required . VOL . II . H K H Cafe Cafe 2 . as To draw a Parallel to any Problems of the ...
Página 50
... Half - Tangents , and an it will be 32 ° 30 ' ; G which fubftract from ( the Complement of the given Distance and there will remain fet the Half - Tangent of this from from the Point and fet the Half - Tangent of then draw the Line ...
... Half - Tangents , and an it will be 32 ° 30 ' ; G which fubftract from ( the Complement of the given Distance and there will remain fet the Half - Tangent of this from from the Point and fet the Half - Tangent of then draw the Line ...
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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.