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 |
Inni boken
Resultat 1-5 av 11
Side 15
... requir'd the The Leg AB 7 550S Leg BC . CONSTRUCTION . As in Cafe 4. being the fame Data . CALCULATION . This requires two Operations ; first by Cafe the 4th , to find the Angle at A , which is al- ready found to be 40.11 ; then if you ...
... requir'd the The Leg AB 7 550S Leg BC . CONSTRUCTION . As in Cafe 4. being the fame Data . CALCULATION . This requires two Operations ; first by Cafe the 4th , to find the Angle at A , which is al- ready found to be 40.11 ; then if you ...
Side 148
... which the Work was done , ' cuts the Primitive ; that Extent meafur'd'en the Chords , gives the Quantity of the Arch of the Parallel requir'd . i goticA EXAM- EXAMPLE . I would reduce the Parallel k , to 148 The Analemma .
... which the Work was done , ' cuts the Primitive ; that Extent meafur'd'en the Chords , gives the Quantity of the Arch of the Parallel requir'd . i goticA EXAM- EXAMPLE . I would reduce the Parallel k , to 148 The Analemma .
Side 149
... requir'd . NOTE , To fet off any Number of Degrees upon a Parallel , or leffer Circle , is only the Reverse of this : EXAMPLE . It is required to fet 40 Degrees from upon . the Parallel rt : Take 40 of the Chords , and fet from m to s ...
... requir'd . NOTE , To fet off any Number of Degrees upon a Parallel , or leffer Circle , is only the Reverse of this : EXAMPLE . It is required to fet 40 Degrees from upon . the Parallel rt : Take 40 of the Chords , and fet from m to s ...
Side 150
... requir'd . Having drawn the Axis of the World , the Prime Vertical , the Equator , Ecliptick and Horizon , as before directed ; fet the Sine of 60 00 , the given Longitude from a to , and from take the nearest Distance to the Equi ...
... requir'd . Having drawn the Axis of the World , the Prime Vertical , the Equator , Ecliptick and Horizon , as before directed ; fet the Sine of 60 00 , the given Longitude from a to , and from take the nearest Distance to the Equi ...
Side 151
... requir'd . NOTE , The right Afcenfion is properly an Arch of the Equator , intercepted between the nearest Equinoctial Point , and the Point where a Meridian drawn through @ , cuts the Equa- tor ; but in this Projection , the Meridians ...
... requir'd . NOTE , The right Afcenfion is properly an Arch of the Equator , intercepted between the nearest Equinoctial Point , and the Point where a Meridian drawn through @ , cuts the Equa- tor ; but in this Projection , the Meridians ...
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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.