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 4
... negative . Thus by art . 3d The logarithm of 10 or .1 1 of 100 or .01 is -1 , is - - 2 , of Too or .001 is -3 , & c . 1000 1 10. If the proposed number is between 1 and its log- arithm must be between 2 and -3 . To obtain the loga ...
... negative . Thus by art . 3d The logarithm of 10 or .1 1 of 100 or .01 is -1 , is - - 2 , of Too or .001 is -3 , & c . 1000 1 10. If the proposed number is between 1 and its log- arithm must be between 2 and -3 . To obtain the loga ...
Σελίδα 5
... negative , while the decimal part of the logarithm is positive . of 0.3 , is 1.47712 , The logarithm of 0.06 , is 2.77815 , of 0.009 , is 3.95424 , And universally , 11. The negative index of a logarithm shows how far the first ...
... negative , while the decimal part of the logarithm is positive . of 0.3 , is 1.47712 , The logarithm of 0.06 , is 2.77815 , of 0.009 , is 3.95424 , And universally , 11. The negative index of a logarithm shows how far the first ...
Σελίδα 6
... negative logarithm will become greater than any assignable quantity . The logarithm of 0 , therefore , is infi- nite and negative . ( Alg . 447. ) 16. It is evident also , that all negative logarithms belong to fractions which are ...
... negative logarithm will become greater than any assignable quantity . The logarithm of 0 , therefore , is infi- nite and negative . ( Alg . 447. ) 16. It is evident also , that all negative logarithms belong to fractions which are ...
Σελίδα 7
... negative , is thus exhausted in supplying the logarithms of integral and fractional positive quantities ; there can be no other numbers to furnish logarithms for negative quantities . On this account , the logarithm of a negative ...
... negative , is thus exhausted in supplying the logarithms of integral and fractional positive quantities ; there can be no other numbers to furnish logarithms for negative quantities . On this account , the logarithm of a negative ...
Σελίδα 9
... negative . 22. If the curve be continued ever so far , it will never meet the axis AN . For , as the ordinates are in geometrical progression decreasing , each is a certain portion of the pre- ceding one . They will be diminished more ...
... negative . 22. If the curve be continued ever so far , it will never meet the axis AN . For , as the ordinates are in geometrical progression decreasing , each is a certain portion of the pre- ceding one . They will be diminished more ...
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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
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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.