Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 89
Side vi
... Pole of any Great Circle Prob . 2. To defcribe , or lay down , any Spherical Angle 43 Prob . 3. To draw a Great Circle through any given Point , fo as to contain any given Angle with the Pri- mitive 44 Prob . 4. To defcribe a Great ...
... Pole of any Great Circle Prob . 2. To defcribe , or lay down , any Spherical Angle 43 Prob . 3. To draw a Great Circle through any given Point , fo as to contain any given Angle with the Pri- mitive 44 Prob . 4. To defcribe a Great ...
Side x
... Pole's Elevation above the Circles of the 11th , 9th , 3d , and 5th Houses Prob . 3. To find the fame above the 12th , 8th , 2d , and 6th Houses Prob . 4. To find the Cufp of the 4th and 10th House -- 275 ibid . 276 Prob . 5. To find ...
... Pole's Elevation above the Circles of the 11th , 9th , 3d , and 5th Houses Prob . 3. To find the fame above the 12th , 8th , 2d , and 6th Houses Prob . 4. To find the Cufp of the 4th and 10th House -- 275 ibid . 276 Prob . 5. To find ...
Side xii
... Pole is elevated above the Plane Prob . 11. To make a Polar Dial Prob . 12. To make an Equinoctial Dial 336 337 - ibid . Prob . 13. To make a Direct Eaft or Weft Dial 339 Prob . 14. To make an Horizontal Dial 341 Prob . 15. To make the ...
... Pole is elevated above the Plane Prob . 11. To make a Polar Dial Prob . 12. To make an Equinoctial Dial 336 337 - ibid . Prob . 13. To make a Direct Eaft or Weft Dial 339 Prob . 14. To make an Horizontal Dial 341 Prob . 15. To make the ...
Side 3
... Pole of any Great Circle of the Sphere is , that Point in its Surface which is every Way equally diftant from the Circumference of the Circle ; or it is that Point which is 90 Degrees above the Plane there- of ; fo P is the Pole of the ...
... Pole of any Great Circle of the Sphere is , that Point in its Surface which is every Way equally diftant from the Circumference of the Circle ; or it is that Point which is 90 Degrees above the Plane there- of ; fo P is the Pole of the ...
Side 5
... Poles N and S. See Fig . 4 . • ; XXVI . The Equinoctial or Equator , is a Great Circle every way equally diftant ( viz . 90 Degrees ) from ei- ther Pole Nor S , and therefore divides the Globe or Sphere into two Halfs or Hemispheres ...
... Poles N and S. See Fig . 4 . • ; XXVI . The Equinoctial or Equator , is a Great Circle every way equally diftant ( viz . 90 Degrees ) from ei- ther Pole Nor S , and therefore divides the Globe or Sphere into two Halfs or Hemispheres ...
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.