An Introduction to the Theory and Practice of Plain and Spherical Trigonometry: And the Stereographic Projection of the Sphere : Including the Theory of Navigation ...
Longman, Rees, Orme, Brown, and Green, 1826 - 442 sider
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acute altitude Answer apparent base called centre chords circle Co-tang compasses complement consequently CONSTRUCTION contained correction cosec cosine declination describe difference distance divided division double draw drawn elevation equal equation Euclid EXAMPLE extent extreme fall feet find the angle formed formulæ given gives greater half height Hence horizon hypothenuse latitude less logarithm longitude mean measured meridian middle miles natural noon North object oblique observed obtuse opposite parallel perpendicular plane triangle Plate pole PRACTICAL PROBLEM proportion PROPOSITION quadrant radius remainder represent right angles right ascension RULE scale secant side side ac similar sine SOLUTION species sphere spherical triangle square star subtract sun's supplement suppose tang tangent third triangle ABC true versed sine yards
Side 21 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Side 28 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Side 107 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 31 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Side 134 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 256 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Side 28 - The SECANT of an arc, is a straight line drawn from the center, through one end of the arc, and extended to the tangent which is drawn from the other end.