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
... obtain the logarithm of each of the numbers in the natural series 1 , 2 , 3 , 4 , 5 , & c .; so that the logarithm of any number may be found in the tables . For this purpose , the radix of the system must first be determined upon ; and ...
... obtain the logarithm of each of the numbers in the natural series 1 , 2 , 3 , 4 , 5 , & c .; so that the logarithm of any number may be found in the tables . For this purpose , the radix of the system must first be determined upon ; and ...
Σελίδα 3
... obtain then the logarithm of any number , accor- ding to Briggs ' system , we have to find a power or root of 10 which shall be equal to the proposed number . The ex- ponent of that power or root is the logarithm required . Thus 7 ...
... obtain then the logarithm of any number , accor- ding to Briggs ' system , we have to find a power or root of 10 which shall be equal to the proposed number . The ex- ponent of that power or root is the logarithm required . Thus 7 ...
Σελίδα 4
... obtain the loga- rithm , therefore , we must either subtract a certain fractional part from -2 , or add a fractional part to -3 ; that is , we must either annex a negative decimal to -2 , or a positive one to -3 . Thus the logarithm of ...
... obtain the loga- rithm , therefore , we must either subtract a certain fractional part from -2 , or add a fractional part to -3 ; that is , we must either annex a negative decimal to -2 , or a positive one to -3 . Thus the logarithm of ...
Σελίδα 6
... obtain the logarithm of every other number , whether integral , fractional , or mixed , consisting of the same significant figures . The decimal part of the logarithm of a fraction found in this way , is always positive . For it is the ...
... obtain the logarithm of every other number , whether integral , fractional , or mixed , consisting of the same significant figures . The decimal part of the logarithm of a fraction found in this way , is always positive . For it is the ...
Σελίδα 14
... obtained in the result . This is evidently done , by reversing the methods in the preceding articles . Where great accuracy is not required , look in the tables for the logarithm which is nearest to the given one ; and directly opposite ...
... obtained in the result . This is evidently done , by reversing the methods in the preceding articles . Where great accuracy is not required , look in the tables for the logarithm which is nearest to the given one ; and directly opposite ...
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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.