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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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 1
... become so laborious , that it is an object of importance to substitute , in their stead , more simple methods of calculation , such as Addition and Subtraction . If these can be made to perform , in an expeditious manner , the office of ...
... become so laborious , that it is an object of importance to substitute , in their stead , more simple methods of calculation , such as Addition and Subtraction . If these can be made to perform , in an expeditious manner , the office of ...
Σελίδα 5
... becomes 3.90309 This is making the index of the logarithm 10 too great . But with proper caution , it will lead to no errour in practice . 13. The sum of the logarithms of two numbers , is the log- arithm of the product of those numbers ...
... becomes 3.90309 This is making the index of the logarithm 10 too great . But with proper caution , it will lead to no errour in practice . 13. The sum of the logarithms of two numbers , is the log- arithm of the product of those numbers ...
Σελίδα 6
... 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 between 1 and 0 ; while ...
... 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 between 1 and 0 ; while ...
Σελίδα 9
... becomes infinitely small , the other becomes infinitely great . This corresponds with what has been stated , ( Art . 15. ) that the logarithm of 0 is infinite and negative . 23. To find the equation of this curve , Let a the radix of ...
... becomes infinitely small , the other becomes infinitely great . This corresponds with what has been stated , ( Art . 15. ) that the logarithm of 0 is infinite and negative . 23. To find the equation of this curve , Let a the radix of ...
Σελίδα 10
... become so familiar with the tables , that he can read- ily find the logarithm of any number ; and , on the other hand , the number to which any logarithm belongs . In the common tables , the indices to the logarithms of the first 100 ...
... become so familiar with the tables , that he can read- ily find the logarithm of any number ; and , on the other hand , the number to which any logarithm belongs . In the common tables , the indices to the logarithms of the first 100 ...
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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.