Spherical trigonometryJ. Noon, 1736 |
Dentro del libro
Resultados 1-5 de 34
Página xi
... Hour - Lines are to be drawn on each of them , by the Problems following , viz . Home 323 Prob , - ibid . 326 327 Prob . 1. To find The Contents of this Book . xi.
... Hour - Lines are to be drawn on each of them , by the Problems following , viz . Home 323 Prob , - ibid . 326 327 Prob . 1. To find The Contents of this Book . xi.
Página xii
... Hour - Lines are to be drawn on any Plane . 366 THE ! THE Young Trigonometer's GUID E. CHAP . I. Concerning xii The Contents of this Book .
... Hour - Lines are to be drawn on any Plane . 366 THE ! THE Young Trigonometer's GUID E. CHAP . I. Concerning xii The Contents of this Book .
Página 24
... Hour from 6 , on the pa- H D rallel Sines , to A , B ; E Then on the Lines AB , PO , as the Conjugate · and Tranf- N verfe Diameters , defcribe an Ellipfis PA QB , as taught in Prob . 1. Then fhall this Ellipfis be the Hour Circle ...
... Hour from 6 , on the pa- H D rallel Sines , to A , B ; E Then on the Lines AB , PO , as the Conjugate · and Tranf- N verfe Diameters , defcribe an Ellipfis PA QB , as taught in Prob . 1. Then fhall this Ellipfis be the Hour Circle ...
Página 54
... Hour Circles , or Intermediate Meridians , as B 15 D , B 30 D , & c . are all drawn by Pro- blem 8 , Cafe 3 , and ... Lines denote the Tropics and Polar Circles , on each fide the Equator , ) are all drawn by Pro , blem 7 , Cafe 2 , and ...
... Hour Circles , or Intermediate Meridians , as B 15 D , B 30 D , & c . are all drawn by Pro- blem 8 , Cafe 3 , and ... Lines denote the Tropics and Polar Circles , on each fide the Equator , ) are all drawn by Pro , blem 7 , Cafe 2 , and ...
Página 58
... Hour Circles , ( which all pass thro ' the Poles of the World , and interfect the Equinoctial at Right Angles ) are ... Lines , and continued , in their proper Projection , in dotted Lines . 6. The 3 D 6. The Tropics , and other ...
... Hour Circles , ( which all pass thro ' the Poles of the World , and interfect the Equinoctial at Right Angles ) are ... Lines , and continued , in their proper Projection , in dotted Lines . 6. The 3 D 6. The Tropics , and other ...
Contenido
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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.