Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 11
Side 22
... describe the primitive Circle AC BD ; From the Line of Chords fet off 20 cutting the Oblique Circle in G ; Then the Part GH will be made 20 ° in the Oblique Circle , as required . 2. E. F. PROBLEM IV . To project , on the Plane of the ...
... describe the primitive Circle AC BD ; From the Line of Chords fet off 20 cutting the Oblique Circle in G ; Then the Part GH will be made 20 ° in the Oblique Circle , as required . 2. E. F. PROBLEM IV . To project , on the Plane of the ...
Side 43
... describe , or lay down , any Spherical Angle . Practice . In this Problem are four Cafes . Cafe 1. When the An- gle is at the Center of the Primitive C. Let there be made the Angle BCF = 40 ° ; take the Chord of 40 , and fet from B to F ...
... describe , or lay down , any Spherical Angle . Practice . In this Problem are four Cafes . Cafe 1. When the An- gle is at the Center of the Primitive C. Let there be made the Angle BCF = 40 ° ; take the Chord of 40 , and fet from B to F ...
Side 51
... describe the Oblique Circle and it is done as required . A , B , ADB ; Cafe 4. To draw an Oblique Circle perpendicular to an Oblique Circle , as Find the Pole thereof then draw any Diameter ADB . P ; HI ; defcribe a Circle thro ' the ...
... describe the Oblique Circle and it is done as required . A , B , ADB ; Cafe 4. To draw an Oblique Circle perpendicular to an Oblique Circle , as Find the Pole thereof then draw any Diameter ADB . P ; HI ; defcribe a Circle thro ' the ...
Side 60
... Describe the Primitive Circle AZ HN for the Sol- ftitial Colure ; crofs it with two Diameters AH , the Horizon , and Z N the Prime Vertical ; then draw the Equinoctial ÆL ; and from the Chords fet 23 ° 30 ' from A to W , and draw vs n ...
... Describe the Primitive Circle AZ HN for the Sol- ftitial Colure ; crofs it with two Diameters AH , the Horizon , and Z N the Prime Vertical ; then draw the Equinoctial ÆL ; and from the Chords fet 23 ° 30 ' from A to W , and draw vs n ...
Side 65
... describe the Polar Circle Leow ; and with the Half - Tangent of 66 ° 30 ' is defcribed the Tropic of Cancer AS B. 4. As the Northern Part of the Ecliptic is elevated above the Equinoctial 23 ° 30 ; and alfo interfects it in the two ...
... describe the Polar Circle Leow ; and with the Half - Tangent of 66 ° 30 ' is defcribed the Tropic of Cancer AS B. 4. As the Northern Part of the Ecliptic is elevated above the Equinoctial 23 ° 30 ; and alfo interfects it in the two ...
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.