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 23
Side 5
... known , the other may be eafily found . When the Sine , Tangent , exc . of an Obtufe Angle is required , you must instead of that B 3 take take its Complement to 180 ; thus the Sine of Conftruction of Sines , & c . 5.
... known , the other may be eafily found . When the Sine , Tangent , exc . of an Obtufe Angle is required , you must instead of that B 3 take take its Complement to 180 ; thus the Sine of Conftruction of Sines , & c . 5.
Side 17
... must be fuppofed to be an Arch of a Circle , the Whole of which contains 360 Parts or Degrees , and its half D AF 180 , and by the above - mentioned Proportion its Diameter is 114 , fuch Parts whereof the whole Circumference is 360 ...
... must be fuppofed to be an Arch of a Circle , the Whole of which contains 360 Parts or Degrees , and its half D AF 180 , and by the above - mentioned Proportion its Diameter is 114 , fuch Parts whereof the whole Circumference is 360 ...
Side 17
... Cafe is ambiguous , and may have the Angle F , either acute or obtufe , which there- fore must be known before the Quantity of the Angle can be determined . CON- Then for the Angle C oppofite to the leffer Side Plain Trigonometry . ΣΙ.
... Cafe is ambiguous , and may have the Angle F , either acute or obtufe , which there- fore must be known before the Quantity of the Angle can be determined . CON- Then for the Angle C oppofite to the leffer Side Plain Trigonometry . ΣΙ.
Side 19
... must be fuppofed to be an Arch of a Circle , the Whole of which contains 360 Parts or Degrees , and its half D AF 180 , and by the above - mentioned Proportion its Diameter is 114 , fuch Parts whereof the whole Circumference is 360 ...
... must be fuppofed to be an Arch of a Circle , the Whole of which contains 360 Parts or Degrees , and its half D AF 180 , and by the above - mentioned Proportion its Diameter is 114 , fuch Parts whereof the whole Circumference is 360 ...
Side 21
... Cafe is ambiguous , and may have the Angle F , either acute or obtufe , which there- fore must be known before the Quantity of the Angle can be determined . CON- CONSTRUCTION . Draw FD at Pleasure , and by Prob Plain Trigonometry . 21.
... Cafe is ambiguous , and may have the Angle F , either acute or obtufe , which there- fore must be known before the Quantity of the Angle can be determined . CON- CONSTRUCTION . Draw FD at Pleasure , and by Prob Plain Trigonometry . 21.
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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.