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alſo known arch becauſe caſe chord circle co-fine AC co-ſ co-ſecant co-ſine co-tangent of half common logarithm conſequently Corol deſcribed diameter equal to half exceſs expreſſed firſt garithms given gles great-circles half the baſe half the difference half the ſum half the vertical hyperbolic logarithm hypothenuſe laſt leſs likewiſe manifeſt meaſure moreover muſt oppoſite oppoſite angle paſſing pendicular perpendicular plane triangle ABC produćt progreſſion Prop proportion propoſed propoſition radius reaſon reſpectively retiangle right-angled ſpherical triangle Ro L L A R ſaid ſame ſecant ſecond ſee ſeries ſhall ſides AC ſin ſince ſphere ſpherical triangle ABC ſquare ſubtracted ſuppoſed T H E o R E M tang tangent of half themſelves Theor Theorem theſe thoſe verſed ſine vertical angle whence whoſe
Side 3 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Side 4 - The fine, or right-fine, of an arch, is a right line drawn from one extremity of the arch, perpendicular to the diameter paffing through the other extremity. Thus BF is the fine of the arch AB or DB.
Side 33 - ... fo is the tangent of half the vertical angle, to the tangent of the angle which the perpendicular CD makes with the line CF, bifcding the vertical The Solution of the Cafes of righl-angled fpfierical Triangles, (Fig.
Side 33 - ABC, it will be, as the co -tangent of half the fum of the angles at the bafe, is to the tangent of half their difference, fo is the tangent of half the...
Side 43 - JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers.
Side 5 - BI, the sine of its complement HB. The tangent of an arc, is a right line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the centre through the other extremity ; which line is called the secant of the same arc : thus AG is the Ungent, and CG the secant of the arc AB.
Side 4 - A chord, or fubtenfe, is a right line drawn from one extremity of an arch to the other ; thus B £ is the chord or fubterife of the arch BAE, orBDE.