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
... Division 21 Involution 22 Evolution 25 Proportion 27 Arithmetical Complement 28 Compound Proportion 31 Compound Interest - 33 Exponential Equations 34 Section I. II . IV . V. TRIGONOMETRY . Sines , Tangents , Secants , & c . Explanation ...
... Division 21 Involution 22 Evolution 25 Proportion 27 Arithmetical Complement 28 Compound Proportion 31 Compound Interest - 33 Exponential Equations 34 Section I. II . IV . V. TRIGONOMETRY . Sines , Tangents , Secants , & c . Explanation ...
Σελίδα 1
... Division , when they are to be often repeated , 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 ...
... Division , when they are to be often repeated , 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 ...
Σελίδα 14
... division is performed by subtrac- tion ; that is , the difference of the logarithms of two num- bers , is the logarithm of the quotient of those numbers . ( Art . 1. ) To find then the logarithm of a vulgar fraction , subtract the ...
... division is performed by subtrac- tion ; that is , the difference of the logarithms of two num- bers , is the logarithm of the quotient of those numbers . ( Art . 1. ) To find then the logarithm of a vulgar fraction , subtract the ...
Σελίδα 17
... division , in- volution , evolution , and finding the term required in single and compound proportion . The principle on which all these calculations are conducted , is this ; If the logarithm of two numbers be added , the SUM will be ...
... division , in- volution , evolution , and finding the term required in single and compound proportion . The principle on which all these calculations are conducted , is this ; If the logarithm of two numbers be added , the SUM will be ...
Σελίδα 20
... the factors are both positive . Mult . -62.59 Into -0.00863 1.79650 3.93601 Mult . -68.3 1.83142 Into -0.0096 3.98227 Prod . +0.5402 1.73251 Prod . +0.6557 1.81669 DIVISION BY LOGARITHMS . 41. From the logarithm of the 20 MULTIPLICATION BY.
... the factors are both positive . Mult . -62.59 Into -0.00863 1.79650 3.93601 Mult . -68.3 1.83142 Into -0.0096 3.98227 Prod . +0.5402 1.73251 Prod . +0.6557 1.81669 DIVISION BY LOGARITHMS . 41. From the logarithm of the 20 MULTIPLICATION BY.
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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.