Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsF. Wingrove, 1799 - 79 sider |
Inni boken
Resultat 1-5 av 19
Side 5
... first of all , it will be proper to obferve , that the fine of any arch Ab greater than 90 ° , is equal to the fine of another arch AB as much below 90 ° ; and that , its co - fine Cf , tangent Ag , and fecant Cg , are also refpectively ...
... first of all , it will be proper to obferve , that the fine of any arch Ab greater than 90 ° , is equal to the fine of another arch AB as much below 90 ° ; and that , its co - fine Cf , tangent Ag , and fecant Cg , are also refpectively ...
Side 17
... first fix places true in each number ; which is fuffi- ciently exact for all common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for that ...
... first fix places true in each number ; which is fuffi- ciently exact for all common purposes . SCHOLIUM . Although what has been hitherto laid down for conftructing the trigonometrical - canon , is abun- dantly fufficient for that ...
Side 18
... first places of each ( which is exact enough where no- thing less than degrees and minutes is regarded ) , may be effected by barely taking the proportional parts of the differences . But if a greater degree of accuracy be infisted on ...
... first places of each ( which is exact enough where no- thing less than degrees and minutes is regarded ) , may be effected by barely taking the proportional parts of the differences . But if a greater degree of accuracy be infisted on ...
Side 19
... first product be continually fubtracted ; that is , firft , from the excess itself ; then from the remainder ; then from the last remainder , and fo on 44 times . 3 ° . To the leffer extreme add the forementioned excefs ; and , to the ...
... first product be continually fubtracted ; that is , firft , from the excess itself ; then from the remainder ; then from the last remainder , and fo on 44 times . 3 ° . To the leffer extreme add the forementioned excefs ; and , to the ...
Side 20
... the fines of all the arches , to every mi- nute , between 59 ° 15 ′ and 60 ° 00 ' ; thofe of the two extremes being first found , by the preceding method . 1 1 method . In this cafe , the two extremes , 20 Construction of the Table.
... the fines of all the arches , to every mi- nute , between 59 ° 15 ′ and 60 ° 00 ' ; thofe of the two extremes being first found , by the preceding method . 1 1 method . In this cafe , the two extremes , 20 Construction of the Table.
Andre utgaver - Vis alle
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.