Spherical trigonometryJ. Noon, 1736 |
Inni boken
Resultat 1-5 av 20
Side 2
... fuppofe at an Infinite Dift- ance ; which Rays are then Parallel ; and project the Circles either in Circles , EHipfes , or Right Lines , on the faid Plane . See the Schemes in the Orthographic Projection . V. The Stereographic ...
... fuppofe at an Infinite Dift- ance ; which Rays are then Parallel ; and project the Circles either in Circles , EHipfes , or Right Lines , on the faid Plane . See the Schemes in the Orthographic Projection . V. The Stereographic ...
Side 6
... fuppofe therefore your Eye at Z , your Horizon would be HCO ; this is called the Rational , the other the Senfible Horizon . Ի XXXI . The Colures are two Meridians dividing the Equinoctial and Ecliptic into four Equal Parts . One of ...
... fuppofe therefore your Eye at Z , your Horizon would be HCO ; this is called the Rational , the other the Senfible Horizon . Ի XXXI . The Colures are two Meridians dividing the Equinoctial and Ecliptic into four Equal Parts . One of ...
Side 29
... fuppofe the young Learner hath by this time a fufficient Notion of the Nature , Manner , and Ufe of the Orthographical Projection . And I do ad- vife every one that is ftudious this way , to make for his Use a very large one , with the ...
... fuppofe the young Learner hath by this time a fufficient Notion of the Nature , Manner , and Ufe of the Orthographical Projection . And I do ad- vife every one that is ftudious this way , to make for his Use a very large one , with the ...
Side 44
... fuppofe it is required to contain 52 ° 30 ′ ;. take the Co - Tangent of CA , K H D and fet it from the Center C to G ; draw the Line G e , parallel to the Diameter E F. F G B e F f Then take the Co - Tangent of the given Angle , viz ...
... fuppofe it is required to contain 52 ° 30 ′ ;. take the Co - Tangent of CA , K H D and fet it from the Center C to G ; draw the Line G e , parallel to the Diameter E F. F G B e F f Then take the Co - Tangent of the given Angle , viz ...
Side 50
... ( fuppofe from the Right Circle ) from Then fet the Tangent of ( the Complement of its Distance ) from in the Diameter produced to On that Point , as a Center , draw AD . CN , 30 % C to N ; 60 ° , N to e , e ; LNM , E g af B and it fhall ...
... ( fuppofe from the Right Circle ) from Then fet the Tangent of ( the Complement of its Distance ) from in the Diameter produced to On that Point , as a Center , draw AD . CN , 30 % C to N ; 60 ° , N to e , e ; LNM , E g af B and it fhall ...
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.