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
R. and W. Mount and T. Page, 1716 - 132 sider
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Acute Angular Point Arch Arcs Axiom Bafe Baſe Cafe Caſe Center Co-fines common Compaſſes Complement conſequently Demonſtration deſcribe Diameter diff difference Diſtance divide draw the Line equal Equator evident Example Extreme fame firſt follows Foot former give given greater half Horizon Hypothenuſe known laſt Legs Lemma leſs likewiſe Line drawn Line of Chords Line of Meaſures Logarithm meaſure Number Oblique Circle oppoſite Parallel paſſing perpendicular placed Plane Plate Point Pole primitive Circle Prob Problem produced projected Proportions Propoſition Quadrant Radius Repreſentation repreſents Right Angles Right Circle Rule Ruler laid ſame Scale Secant ſhall Sides Similar Sine Solution Sphere Spherical Triangles Stereog Subſt Supplement Suppoſe Surface Tangent Term theſe third thoſe thro Triangle Tropic Vertex
Side 16 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Side 28 - 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...
Side 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.
Side 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...
Side 86 - 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...
Side 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.
Side 27 - ... so is the square of the radius to the square of the sine of half their contained angle, as shown in Leslie's Geometry.
Side 86 - 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.