A treatise of trigonometry, plane and spherical ...: As likewise a treatise of stereographick and orthographick projection of the sphere ... Illustrated in the stereographick projection of the several cases in right and oblique angled, spherical, triangles: so that the requisites may be found without calculation, by scale and compass
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A B C D the primitive adjacent Angle Angle required Angular Point Arcs Axiom Bafe Base Cafe Center Circle perpendicular Co-sine common Section Compasses Complement COROL cut the primitive DEMONSTRATION Distance divide draw a Diameter draw the Line equal Equator Euclid fame Foot given Angle Horizon Hour-Circle Interfection Intersection Legs Lemma lesser Circle let fall Line drawn Line given Line of Chords Line of Measures Logarithm Northern Pole Number of Degrees P R O passing thro Periphery Plate Pole primitive Circle Prob Projection Proportions Proposition Quadrant Radius Reqd Right Angles Right Ascension Right-angled Triangles Right-line rizon Ruler laid Secant Semicircle Sine Sphere Spherical Angle Spherical Triangles Stereog Subst Suppose Take the Tangent Tangent of half Tis required Trigonometry Tropic of Cancer Vertex
Page 16 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 30 - DAG, that is, the half of BAC : but HA is half the perimeter of the triangle ABC, and AD is the excess of the same above HD, that is, above the base BC...
Page 9 - Secants, and are to be taken out of your Table, To find a Side, any Side may be made Radius : Then fay, as the Name of the Side given is to the Name of the Side required ; fo is the Side given to the Side required.
Page 2 - Parts, viz. three Sides and three, Angles : Any three of which being given, except the three Angles of a Plane Triangle, the other three may be found either Mechanically, by the help of a Scale of equal Parts and Line of Chords, or by an...
Page 88 - P ; to the point P, draw the Tangent APG, and on any point thereof, as A, ereft a Perpendicular AD, at Right Angles, to the Plane EBPL, and draw the Lines PD, AC, DC...
Page 16 - A produc'd if Need be ; then will FE be the Sine of the Angle A, and BD the Sine of the Angle C, to the Radius BC= AF.
Page 29 - ... so is the square of the radius to the square of the sine of half their contained angle, as shown in Leslie's Geometry.
Page 87 - 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.