Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsF. Wingrove, 1799 - 79 sider |
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Resultat 1-5 av 23
Side 8
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ‚ ADB- DBC ( by 9. 1. ) it is plain that ABC - C is = 2 . 2DBC ; or that DBC is equal to half the difference of ...
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ‚ ADB- DBC ( by 9. 1. ) it is plain that ABC - C is = 2 . 2DBC ; or that DBC is equal to half the difference of ...
Side 9
... equal , each to each , it will be ( by equa- AbC - ACb 2 AbC + ACb lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB ... half the fum of the required angles to the tangent of half their difference * . • This Theorem , though it requires ...
... equal , each to each , it will be ( by equa- AbC - ACb 2 AbC + ACb lity ) , as tang . : tang . 2 ABC + ACB ABC - ACB ... half the fum of the required angles to the tangent of half their difference * . • This Theorem , though it requires ...
Side 13
... equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q ) are to ...
... equal to the fquare of the radius ( by 10. 4. ) : whence it likewife follows , that the tangent of half a right angle is equal to the ra- dius ; and that the co - tangents of any two dif- ferent arches ( reprefented by P and Q ) are to ...
Side 14
... half the fum of the fines BE + DG , of the two extremes : and , as radius to ... equal to each other ( by hypothefis ) , OC is not only perpen- dicular to ... equal to half their fum , and Dv equal to half their difference . But , because ...
... half the fum of the fines BE + DG , of the two extremes : and , as radius to ... equal to each other ( by hypothefis ) , OC is not only perpen- dicular to ... equal to half their fum , and Dv equal to half their difference . But , because ...
Side 17
... ( by p . 181 of the Elements ) = { √2 + √3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is√ = C , 309017 , , 309017 , & c . ( equal to half of Sines , Tangents , and Secants . 17 .
... ( by p . 181 of the Elements ) = { √2 + √3 = , 965925826 , & c . ( = the fupplement chord of 30 ° ) and the fine of 18 ° , which is√ = C , 309017 , , 309017 , & c . ( equal to half of Sines , Tangents , and Secants . 17 .
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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.