Spherical trigonometryJ. Noon, 1736 |
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Página 44
... last Cafe , make the Angle HAD = 52 30 ′ ; alfo make the Angle KAD = 37 ° , 30 ' ; fo fhall the Difference be the Angle HAK = 15 ° , 00 ′ . as required . PROBLEM III . To draw any Great Circle thro ' any Point , fo , that it fhall ...
... last Cafe , make the Angle HAD = 52 30 ′ ; alfo make the Angle KAD = 37 ° , 30 ' ; fo fhall the Difference be the Angle HAK = 15 ° , 00 ′ . as required . PROBLEM III . To draw any Great Circle thro ' any Point , fo , that it fhall ...
Página 64
Benjamin Martin. Lines , or Meridians , may be drawn juft as in the last Projection on the Plane of the Horizon . 4. After the fame Manner as the Equinoctial was defcribed , may be described the Horizon of London WOE ; for the Northern ...
Benjamin Martin. Lines , or Meridians , may be drawn juft as in the last Projection on the Plane of the Horizon . 4. After the fame Manner as the Equinoctial was defcribed , may be described the Horizon of London WOE ; for the Northern ...
Página 158
... last Cafe , in both Figures . Cafe 5 . 6 [ AC AB 36 15 . Given the two Legs { 46 28 30 , 1. Let the Triangle be at the Center . Describe the Primi- tive DEGI ; fet off the Half - Tan- gent of 36 ° 15 ' B to A , from and draw the Oblique ...
... last Cafe , in both Figures . Cafe 5 . 6 [ AC AB 36 15 . Given the two Legs { 46 28 30 , 1. Let the Triangle be at the Center . Describe the Primi- tive DEGI ; fet off the Half - Tan- gent of 36 ° 15 ' B to A , from and draw the Oblique ...
Página 194
... last Variety ; then by Propofition 3 , fay ; Co. Ar . As the Sine of half Dif . of Ang . 6 29 0.9472515 is to Sine of half Sum of the An . 33 300.7420603 fo is Tang . of half Dif . of Sides 10 07 9.2514612 to Tang . of half the inclu ...
... last Variety ; then by Propofition 3 , fay ; Co. Ar . As the Sine of half Dif . of Ang . 6 29 0.9472515 is to Sine of half Sum of the An . 33 300.7420603 fo is Tang . of half Dif . of Sides 10 07 9.2514612 to Tang . of half the inclu ...
Página 211
Benjamin Martin. Wherefore the Area of fuch a Triangle as was used in the last Chapter is 0,00893 of the whole Superfi- cies of the Sphere or Globe . Now suppose the Diameter of any Sphere or Globe be 16 Inches , then the Superficies of ...
Benjamin Martin. Wherefore the Area of fuch a Triangle as was used in the last Chapter is 0,00893 of the whole Superfi- cies of the Sphere or Globe . Now suppose the Diameter of any Sphere or Globe be 16 Inches , then the Superficies of ...
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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.