A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of the Nature and Use of Logarithms. Being the Second Part of A Course of Mathematics, Adapted to the Method of Instruction in the American Colleges ...Howe & Deforest, 1815 - 126 σελίδες |
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Σελίδα 2
... considered as some power or root of this . If the radix is 10 , as in the common system , every other number is to be considered as some power of 10 . may That a power or root of 10 may be found , which shall be equal to any other ...
... considered as some power or root of this . If the radix is 10 , as in the common system , every other number is to be considered as some power of 10 . may That a power or root of 10 may be found , which shall be equal to any other ...
Σελίδα 14
... considered as a dividend , and the denominator as a divisor ; in other words , the value of the fraction is equal to the quo- tient , of the numerator divided by the denominator . ( Alg . 135. ) But in logarithms , division is performed ...
... considered as a dividend , and the denominator as a divisor ; in other words , the value of the fraction is equal to the quo- tient , of the numerator divided by the denominator . ( Alg . 135. ) But in logarithms , division is performed ...
Σελίδα 18
... considered positive also : Mult . 62.84 1.79824 Into 0.682 1.83378 Mult . 0.0294 Into 0.8372 2.46835 1.92283 Prod . 42.86 1.63202 Prod . 0.0246 TM 2.39118 In each of these examples , +1 is to be carried from the decimal part of the ...
... considered positive also : Mult . 62.84 1.79824 Into 0.682 1.83378 Mult . 0.0294 Into 0.8372 2.46835 1.92283 Prod . 42.86 1.63202 Prod . 0.0246 TM 2.39118 In each of these examples , +1 is to be carried from the decimal part of the ...
Σελίδα 21
... considered affirmative , and applied to the index , before the sign is changed . Divide 0.8697 1.93937 or 9.93937 By 98.65 1.99410 Quot . 0.008816 3.94527 1.99410 7.94527 In this example , the upper logarithm being less than the lower ...
... considered affirmative , and applied to the index , before the sign is changed . Divide 0.8697 1.93937 or 9.93937 By 98.65 1.99410 Quot . 0.008816 3.94527 1.99410 7.94527 In this example , the upper logarithm being less than the lower ...
Σελίδα 38
... considered a measure of the angle , because , by Euc . 33. 6 , angles at the centre of a given circle , have the same ratio to each other , as the arcs on which they stand . Thus the arc AB , ( Fig . 2. ) is a measure of the angle ACB ...
... considered a measure of the angle , because , by Euc . 33. 6 , angles at the centre of a given circle , have the same ratio to each other , as the arcs on which they stand . Thus the arc AB , ( Fig . 2. ) is a measure of the angle ACB ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acute angle added angle ACB arithmetical complement arithmetical progression b+sin base calculation centre circle cosecant Cosine Cotangent Tangent decimal degrees and minutes divided division divisor equal to radius equation errour exponents extend find the angles find the logarithm fraction geometrical progression given angle given number given side Given the angle gles greater half the sum hypothenuse JEREMIAH DAY length less line of chords line of numbers lines of sines loga logarithmic sine logarithmic TANGENT metical Mult multiplied natural number natural sines number of degrees opposite angles perpendicular positive proportion quadrant quotient radix right angled triangle rithms root secant similar triangles sine of 30 sines and cosines slider square subtracting tables tabular radius tabular sine tangent of half theorem transverse distance triangle ABC trigonometrical tables Trigonometry versed sine vulgar fraction
Δημοφιλή αποσπάσματα
Σελίδα 68 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 42 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Σελίδα 105 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Σελίδα 49 - ... at the head of the column, take the degrees at the top of the table, and the minutes on the left; but if the title be at the foot of the column, take the degrees at the bottom, and the minutes on the right.
Σελίδα 39 - With these the learner should make himself perfectly familiar. 82. The SINE of an arc is a straight line drawn from one end of the arc, perpendicular to a diameter which passes through the other end. Thus BG (Fig.
Σελίδα 116 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Σελίδα 37 - The periphery of every circle, whether great or small, is supposed to be divided into 360 equal parts called degrees, each degree into 60 minutes, each minute into 60 seconds, each second into 60 thirds, &c., marked with the characters °, ', ", '", &c. Thus, 32° 24...
Σελίδα 72 - ... angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I.