Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 66
Side 4
... Complement of the Angle at the Bafe V 5. The Complement of the Angle at the perpendicular P ; ( viz . the Arch CB . ) : Thefe are fo named from the Lord Neper , à Scotch , Peer , who hath invented a New Method of folving Triangles ...
... Complement of the Angle at the Bafe V 5. The Complement of the Angle at the perpendicular P ; ( viz . the Arch CB . ) : Thefe are fo named from the Lord Neper , à Scotch , Peer , who hath invented a New Method of folving Triangles ...
Side 37
... Complement G FA FEC : = But because of equal Radii , E F = F G ; Therefore will the Arch AG = FK ; But the Line FC , is the Tangent of the Arch FK , and therefore equal to the Tangent of the Arch AG , which is the Elevation of the ...
... Complement G FA FEC : = But because of equal Radii , E F = F G ; Therefore will the Arch AG = FK ; But the Line FC , is the Tangent of the Arch FK , and therefore equal to the Tangent of the Arch AG , which is the Elevation of the ...
Side 50
... Complement of its Distance ) from in the Diameter produced to On that Point , as a Center , draw AD . CN , 30 % C to N ; 60 ° , N to e , e ; LNM , E g af B and it fhall be the Parallel Circle required . Cafe 3. To draw a Paral- lel to ...
... Complement of its Distance ) from in the Diameter produced to On that Point , as a Center , draw AD . CN , 30 % C to N ; 60 ° , N to e , e ; LNM , E g af B and it fhall be the Parallel Circle required . Cafe 3. To draw a Paral- lel to ...
Side 54
... Complement fet from thofe Points of In- terfection ( or the Tangent Complement fet from the Center E ) upon the Equinoctial , extended when there is occafion , will find the Centers , on which thefe Circles are described , paffing thro ...
... Complement fet from thofe Points of In- terfection ( or the Tangent Complement fet from the Center E ) upon the Equinoctial , extended when there is occafion , will find the Centers , on which thefe Circles are described , paffing thro ...
Side 56
... Complement 38 ° 30 ' fet from Z the other way to f , gives the Center f , on which the Equinoctial WEE is to be defcribed . 3 The Ecliptic is projected into two Semicircles , or Halfs , the Northern Half into WE ; and the Southern Half ...
... Complement 38 ° 30 ' fet from Z the other way to f , gives the Center f , on which the Equinoctial WEE is to be defcribed . 3 The Ecliptic is projected into two Semicircles , or Halfs , the Northern Half into WE ; and the Southern Half ...
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.