Trigonometry, Plane and Spherical: With the Construction and Application of LogarithmsF. Wingrove, 1799 - 79 sider |
Inni boken
Resultat 1-5 av 11
Side 5
... unity , and conceived to be divided into 10000 , or more , decimal parts . By the help of this table , and the doctrine of fimilar triangles , the whole bufinefs of trigonometry is performed ; which I fhall now proceed to fhew . But ...
... unity , and conceived to be divided into 10000 , or more , decimal parts . By the help of this table , and the doctrine of fimilar triangles , the whole bufinefs of trigonometry is performed ; which I fhall now proceed to fhew . But ...
Side 15
... unity ) be multiplied by twice the co - fine of the common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees ...
... unity ) be multiplied by twice the co - fine of the common difference , and the fine of either extreme be fubtracted from the product , the remainder will be the fine of the other extreme . 2. The fine of any arch , above 60 degrees ...
Side 16
... unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themselves ( vid . p . 181. ) we shall have , asg :: , 00818121 : , 008726624 , the chord of or half a degree ; whofe half , or , 004363312 ...
... unity ) ; therefore , as the chords of very finall arches are to each other nearly as the arches themselves ( vid . p . 181. ) we shall have , asg :: , 00818121 : , 008726624 , the chord of or half a degree ; whofe half , or , 004363312 ...
Side 18
... unity ) , is found by adding the product of their fines to that of their co - fines ; as is hereafter demonftrated . 3 2o . From " 2. From this exeefs let the first product be continually 18 Construction of the Table.
... unity ) , is found by adding the product of their fines to that of their co - fines ; as is hereafter demonftrated . 3 2o . From " 2. From this exeefs let the first product be continually 18 Construction of the Table.
Side 38
... unity , and common ratio any given quantity a . Then it is manifeft , 1. That , the fum of the indices of any two terms of the progreffion is equal to the index of the product of thofe terms . Thus 2 + 3 ( 5 ) is the index of a'a ' , or ...
... unity , and common ratio any given quantity a . Then it is manifeft , 1. That , the fum of the indices of any two terms of the progreffion is equal to the index of the product of thofe terms . Thus 2 + 3 ( 5 ) is the index of a'a ' , or ...
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.