An Introduction to the Theory and Practice of Plane and Spherical Trigonometry, and the Stereographic Projection of the Sphere: Including the Theory of Navigation ...
author, 1810 - 420 pagina's
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acute altitude Answer apparent applied base CALCULATION called centre chords circle co-tangent compasses complement CONSTRUCTION contained cosec cosine declination describe difference distance divided division double draw drawn equal equation EXAMPLE extent extremes falls feet figure find the angle formed fourth given gives greater half hand height Hence horizon hypothenuse latitude less logarithm longitude manner mean measured meridian middle miles natural North object oblique observed obtuse opposite parallel perpendicular plane triangle Plate pole PRACTICAL primitive problem produced projected proportion PROPOSITION quadrant radius remainder represent right angle right ascension RULE scale secant side side ac similar SOLUTION species sphere star straight line subtract sun's supplement Suppose taken tang tangent third true versed sine yards
Pagina 25 - 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.
Pagina 6 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Pagina xxvi - A New Treatise on the Use of the Globes; or, a Philosophical View of the Earth and Heavens : comprehending an Account of the Figure, Magnitude, and Motion of the Earth : with the Natural Changes of its Surface, caused by Floods, Earthquakes, Ac.
Pagina 32 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Pagina 31 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Pagina 240 - 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.
Pagina 240 - ... ZENITH DISTANCE of any celestial object is the arc of a vertical circle, contained between the centre of that object and the zenith ; or it is what the altitude of the object wants of 90 degrees.
Pagina 197 - The sum of the two sides of a triangle is to their difference as the tangent of half the sum of the angles at the base is to the tangent of half their difference.