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 6
... belong to fractions which are between 1 and 0 ; while positive loga- rithms belong to natural numbers which are greater than 1 , As the whole range of numbers , both positive and 6 NATURE OF.
... belong to fractions which are between 1 and 0 ; while positive loga- rithms belong to natural numbers which are greater than 1 , As the whole range of numbers , both positive and 6 NATURE OF.
Σελίδα 14
... belonging to any loga- rithm . In computing by logarithms , it is necessary , in the first place , to take from the tables the logarithms of the numbers which enter into the calculation ; and , on the other hand , at the close of the ...
... belonging to any loga- rithm . In computing by logarithms , it is necessary , in the first place , to take from the tables the logarithms of the numbers which enter into the calculation ; and , on the other hand , at the close of the ...
Σελίδα 15
... belonging to 3.86493 is 7327 , to 1.62572 is 42.24 , to 2.9014 796.9 , to 2.89115 0.07783 . In the last example , the index requires that the first signifi- cant figure should be in the second place from units , and therefore a cipher ...
... belonging to 3.86493 is 7327 , to 1.62572 is 42.24 , to 2.9014 796.9 , to 2.89115 0.07783 . In the last example , the index requires that the first signifi- cant figure should be in the second place from units , and therefore a cipher ...
Σελίδα 16
... belonging to 4.37627 is 23783.45 , to 3.69479 4952.08 , to 1.73698 is 54.57357 , to 1.09214 is 0.123635 . 35. Correction of the tables . The tables of logarithms have been so carefully and so repeatedly calculated , by the ablest ...
... belonging to 4.37627 is 23783.45 , to 3.69479 4952.08 , to 1.73698 is 54.57357 , to 1.09214 is 0.123635 . 35. Correction of the tables . The tables of logarithms have been so carefully and so repeatedly calculated , by the ablest ...
Σελίδα 18
... belonging to the sum . ( Art . 33. ) Mult . 89.24 1.95056 Mult . 134 . 2.12710 Into 3.687 0.56667 Into 25.6 1.40824 Prod . 329 . 2.51723 Prod 3430 . 3.53534 38. When any or all of the indices of the logarithms are negative , they are to ...
... belonging to the sum . ( Art . 33. ) Mult . 89.24 1.95056 Mult . 134 . 2.12710 Into 3.687 0.56667 Into 25.6 1.40824 Prod . 329 . 2.51723 Prod 3430 . 3.53534 38. When any or all of the indices of the logarithms are negative , they are to ...
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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.