Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the Projection of the Sphere Orthographick, and Stereographick: as Also, Trigonometry Plain and Spherical; with Plain and Intelligible Reasons for the Various and Most Useful Methods, Both in Projection and Calculation; with the Application of the Whole to Astronomy, Dialling, and GeographyH.P., 1720 - 192 sider |
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Resultat 1-5 av 13
Side 53
... greatest An- gle , to a Semicircle . 8. In an Oblique Spherical Triangle , if the Angles at the Bafe be both of the fame Affe- & ion , the Perpendicular let fall from the Ver- tical Angle , falls within the Triangle ; but if different ...
... greatest An- gle , to a Semicircle . 8. In an Oblique Spherical Triangle , if the Angles at the Bafe be both of the fame Affe- & ion , the Perpendicular let fall from the Ver- tical Angle , falls within the Triangle ; but if different ...
Side 58
... greatest Angle , upon the greatest Side ; and fo the leffer Sides become Hipothenufes to two Right - angled Triangles , which being given , and the Bafes found by Conclufion 12 , you have enough to find with Eafe any other Part of ...
... greatest Angle , upon the greatest Side ; and fo the leffer Sides become Hipothenufes to two Right - angled Triangles , which being given , and the Bafes found by Conclufion 12 , you have enough to find with Eafe any other Part of ...
Side 88
... the fame as in Cafe the eleventh ; only in that Converfion , you must take the Complement of the greatest Angle to 180 , as in Solution the feventh . The The Given - angles being thus turned into Sides , 8893 Spherical Trigonometry ,
... the fame as in Cafe the eleventh ; only in that Converfion , you must take the Complement of the greatest Angle to 180 , as in Solution the feventh . The The Given - angles being thus turned into Sides , 8893 Spherical Trigonometry ,
Side 96
... greatest Declination is the Angle that the Ecliptick makes with the Equator : As the Angle & LO , Fig . 1 . NOTE , All these and other Angles in A- ftronomy , may alfo be reckon'd Arches of thofe great Circles that are 90 Degrees di ...
... greatest Declination is the Angle that the Ecliptick makes with the Equator : As the Angle & LO , Fig . 1 . NOTE , All these and other Angles in A- ftronomy , may alfo be reckon'd Arches of thofe great Circles that are 90 Degrees di ...
Side 98
... Greatest Declin . 23:30 Required Sun's present Declination . Plate 5 . Geometrical Projection . I fhall Inftance in this upon all the five Plains ; and firft , Upon the Plain of Fig 1. the Meridian . NOTE , Although the Solution of this ...
... Greatest Declin . 23:30 Required Sun's present Declination . Plate 5 . Geometrical Projection . I fhall Inftance in this upon all the five Plains ; and firft , Upon the Plain of Fig 1. the Meridian . NOTE , Although the Solution of this ...
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Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ... Henry Wilson Ingen forhåndsvisning tilgjengelig - 2015 |
Trigonometry Improv'D, and Projection of the Sphere, Made Easy: Teaching the ... Henry Wilson Ingen forhåndsvisning tilgjengelig - 2023 |
Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ... Henry Wilson Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
90 Degrees Aftronomy alfo Altitude when Eaft ANALEMMA Angle oppofite Arch Axiom Bafe Baſe becauſe Cafe Center Chords Compaffes Complement of Latitude Conclufion crofs croſs cuts the Primitive Declination 20 12 Diameter diftant Diſtance draw the Meridian draw the Parallel Draw the Primitive Eaft or Weft Ecliptick equal Equator faid fame fhall find the Angle firft Foot fubftracted fuppofe given Angle given the Angle Given two Sides Hipothenufe Horizon Interfection Latitude 54 40 Longitude Manfion meafur'd meaſured Middle-part obferve oblique Circle Perpendicular Plain Plate 9 Point Pole Prime Vertical Primitive Circle Prob PROBLEM Projection Proportion lies Radius reprefent requir'd right Afcenfion Right Circle Right-angled Triangles Secant SECT Side oppofite Sine Comp Sine Complement South Dial Sphere Spherical Geometry Spherical Triangles Spherical Trigonometry Stile Sun's Altitude Sun's Azimuth Tang Tangent Complement thefe theſe thofe Trigonometry
Populære avsnitt
Side 10 - Then as the sum of the sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference (Theor.
Side 17 - TWo fides and an angle oppofite to one of them being given, To find the third fide and either of the other angles.
Side 72 - Authors reckoned the 3d and 4th, where there are given two Sides and an Angle oppofite to one of them, to find the...
Side 49 - Perpendicular, let it fall from the End of a given Side, and oppofite to a given Angle...
Side 19 - ... the sum of any two sides is to their difference ; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference.
Side 36 - With the Tangent of the given Angle, and one Foot in the Center defc1 ihe an Arch.
Side 53 - RULE IV. The Tangents of the Sides, are reciprocally Proportional to the Co-fines of the Angles at the Vertex.
Side 28 - Projeftiott the Angles made by the Circles on the Surface of the Sphere are equal to the Angles made by their Reprefentatiyes on the plane of the Projection.
Side 30 - POLE, in spherics, a point equally distant from every part of the circumference of a great circle of the sphere, as the centre is a plane figure ; or it is a point of ninety degrees distant from the plane of a circle, and in a line, called the axis, passing perpendicularly through the centre. The zenith and nadir are the poles of the * horizon ; and the poles of the equator are the same with those of the sphere. POLES of the ecliptic, are two points on the surface of the sphere, 23° 30' distant...
Side 55 - Log-Sines of that half Sum and Remainder, half the Total of thefe four Logarithms is the Sine Complement of half the Angle required.