Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 100
Side i
... Sphere on the Plane of the General Meridian , the Horizon , the Ecliptic , the Equinoctial , the Tropic of Capricorn , and of an Oblique Circle . V. Forty One Theorems explaining the Nature and Rationale of Spherical Triangles . VI . A ...
... Sphere on the Plane of the General Meridian , the Horizon , the Ecliptic , the Equinoctial , the Tropic of Capricorn , and of an Oblique Circle . V. Forty One Theorems explaining the Nature and Rationale of Spherical Triangles . VI . A ...
Side viii
... Spherical Triangle ; and the Completion of a folid Body ; with Examples of each 208 PART II . CHAP . I. Containing the Application of Spherical Trigonometry to Aftronomy ; in all the practical Problems of the Sun , Moon , and Stars ...
... Spherical Triangle ; and the Completion of a folid Body ; with Examples of each 208 PART II . CHAP . I. Containing the Application of Spherical Trigonometry to Aftronomy ; in all the practical Problems of the Sun , Moon , and Stars ...
Side 3
... Sphere interfecting each other ; and this is the fame , or equal to , the Inclination of the Planes of thefe two Great Circles ; fuch is the Angle APV , or VCB . XVI . A Spherical Triangle is a Figure comprehend- ed under the Arches of ...
... Sphere interfecting each other ; and this is the fame , or equal to , the Inclination of the Planes of thefe two Great Circles ; fuch is the Angle APV , or VCB . XVI . A Spherical Triangle is a Figure comprehend- ed under the Arches of ...
Side 4
... Triangles thereby and is the third of the Ten Me- thods in the following Treatife . XIX . The Middle Part is one of thofe five circular Parts , being the Middlemoft of the three that are taken for the Solution of a Spherical Triangle ...
... Triangles thereby and is the third of the Ten Me- thods in the following Treatife . XIX . The Middle Part is one of thofe five circular Parts , being the Middlemoft of the three that are taken for the Solution of a Spherical Triangle ...
Side 38
... Circle E e F : Draw the Lines QE , E O , Eƒ ; The Right angled Triangle e E f , is divided into two fimilar Triangles e E N , and Nf E , by the Diameter E F Therefore the Angle e EN But the fame Angle e EN EƒNƒEO ; EAQ = QEA ; Therefore the ...
... Circle E e F : Draw the Lines QE , E O , Eƒ ; The Right angled Triangle e E f , is divided into two fimilar Triangles e E N , and Nf E , by the Diameter E F Therefore the Angle e EN But the fame Angle e EN EƒNƒEO ; EAQ = QEA ; Therefore the ...
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.