Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsF. Wingrove, 1799 - 79 sider |
Inni boken
Resultat 1-5 av 12
Side 13
... appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant ... appears moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal ...
... appears , 1. That the tangent is a fourth proportional to the co - fine , the fine , and radius . 2. That the fecant ... appears moreover ( because AT : AC :: CD ( AC ) : DH ) , that the rectangle of the tangent and co - tangent is equal ...
Side 24
... appears ( from Def . 2. ) that all great- circles , paffing through the pole of a given circle , cut that circle at right - angles ; becaufe they pass through , or coincide with the axis , which is per- pendicular to it . B * E D 3. It ...
... appears ( from Def . 2. ) that all great- circles , paffing through the pole of a given circle , cut that circle at right - angles ; becaufe they pass through , or coincide with the axis , which is per- pendicular to it . B * E D 3. It ...
Side 41
... appears from the preceding Prop . that 1 + L L ' L ' + + & c . is N : therefore , if x + 1 be 2 2.3 put N , we shall have L L ' L ' L + + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- ries , L = x - + 4 2. E. I. + ...
... appears from the preceding Prop . that 1 + L L ' L ' + + & c . is N : therefore , if x + 1 be 2 2.3 put N , we shall have L L ' L ' L + + + + 2 2.3 2.3.4 & c . x ; and confequently , by reverting the fe- ries , L = x - + 4 2. E. I. + ...
Side 51
... appear to be 9,7621775 ; to which add 4,2530956 , the log . of 17910 , and from the fum ( 14,0152731 ) take 10 , the log . of radius , and there refults 4,0152731 the log . of BC ; which , in the tables , answers to 10358 , the length ...
... appear to be 9,7621775 ; to which add 4,2530956 , the log . of 17910 , and from the fum ( 14,0152731 ) take 10 , the log . of radius , and there refults 4,0152731 the log . of BC ; which , in the tables , answers to 10358 , the length ...
Side 54
... appears , that the fquare of the fine of half any arch , or angle , is equal to a rectangle under half the radius and the verfed fine of the whole ; and that the fquare of its co - fine is equal to a rectangle under half the radius and ...
... appears , that the fquare of the fine of half any arch , or angle , is equal to a rectangle under half the radius and the verfed fine of the whole ; and that the fquare of its co - fine is equal to a rectangle under half the radius and ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1810 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1810 |
Vanlige uttrykk og setninger
4th rem ABC+ACB AC by Theor AC-BC AC+BC adjacent angle AF-co-f alfo alfo known alſo angle ACB bafe baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius E. D. PROP equal to half excefs faid fame fecant fecond feries fhall fides AC fimilar triangles fines firft firſt fquare fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm interfect itſelf laft laſt leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular periphery perpendicular plane triangle ABC progreffion propofed proportion radius co-fine refpectively right-angled Spherical triangle right-line ſhall ſpherical triangles ABC tang tangent of half THEOREM theſe thofe thoſe Trigonometry verfed vertical angle whence whofe
Populære avsnitt
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 30 - U to their difference, fo is the tangent of half the fum of thofe arches, to the tangent of half their difference; and, As the fum of the...
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.
Side 13 - The straight line BE between the centre and the extremity of the tangent AE, is called the Secant of the arch AC, or of the angle ABC. COR. to def.