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 45
Side 14
... Sine of the Angle C , or Sine Complement of the An- gle A , required therefore 2.85733 10 , 00000 2 . 74036 As AC To Radius 720 So AB 550 To Sine Comp . of Angle A , 40 11 · 9.88303 CASE CASE V. Given the Hipotenufe and a Leg , to 14 ...
... Sine of the Angle C , or Sine Complement of the An- gle A , required therefore 2.85733 10 , 00000 2 . 74036 As AC To Radius 720 So AB 550 To Sine Comp . of Angle A , 40 11 · 9.88303 CASE CASE V. Given the Hipotenufe and a Leg , to 14 ...
Side 61
... Sine - complement of a ( the Middle - part ) to-- Tangent - comp . of e , the required Extream Conj . And thus however the three Parts that enter the Queftion be difpos'd of , you may al- ways find fuch an One to make Middle part , as ...
... Sine - complement of a ( the Middle - part ) to-- Tangent - comp . of e , the required Extream Conj . And thus however the three Parts that enter the Queftion be difpos'd of , you may al- ways find fuch an One to make Middle part , as ...
Side 68
... Sine - comp . of a , 23:30 9.96240 To gd Radius ; 90:00 10.00000 So ce Tang . Comp . of a c , 60 : 00 9.76144 To bd Tang . Comp . a b . · 57 : 48— 9.79904 CASE the second . Given the Hipothenufe , and an Angle to find the Leg oppofite ...
... Sine - comp . of a , 23:30 9.96240 To gd Radius ; 90:00 10.00000 So ce Tang . Comp . of a c , 60 : 00 9.76144 To bd Tang . Comp . a b . · 57 : 48— 9.79904 CASE the second . Given the Hipothenufe , and an Angle to find the Leg oppofite ...
Side 69
... Comp . of a c 60 00 9.69897 Tock Radius Soge Tang . Comp . of a To ki Tang . of c - - 90.00-10.00000 23.30-10.36170 ... Sine Comp , of a 23.32 9.96229 CASE CASE the Fifth . Given the Hipothenule and a Leg Spherical Trigonometry . 69.
... Comp . of a c 60 00 9.69897 Tock Radius Soge Tang . Comp . of a To ki Tang . of c - - 90.00-10.00000 23.30-10.36170 ... Sine Comp , of a 23.32 9.96229 CASE CASE the Fifth . Given the Hipothenule and a Leg Spherical Trigonometry . 69.
Side 70
... and a Leg , to find the other Leg . Given Plate 4 . Fig . 6 . Sac 60 00 Lab 97 48 Required b c . - The Proportion lyes in the Manfion g db , and will be , As As db Sine Comp . of a b 57 48- 50 Spherical Trigonometry ,
... and a Leg , to find the other Leg . Given Plate 4 . Fig . 6 . Sac 60 00 Lab 97 48 Required b c . - The Proportion lyes in the Manfion g db , and will be , As As db Sine Comp . of a b 57 48- 50 Spherical Trigonometry ,
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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.