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 8
... distances from A to 1 , 2 , 3 , & c . will represent the logarithms of a , a , a3 , & c . ( Art . 2. ) The line CH is called the logarithmic curve , because its abscissas are proportioned to the logarithms of numbers represented by its ...
... distances from A to 1 , 2 , 3 , & c . will represent the logarithms of a , a , a3 , & c . ( Art . 2. ) The line CH is called the logarithmic curve , because its abscissas are proportioned to the logarithms of numbers represented by its ...
Σελίδα 9
... distance from A to 2 is the logarithm of the ordinate a2 ; from A to 3 is the logarithm of a3 , & c . 21. The ... distances from A to -1 , -2 , -3 , & c . are negative . 22. If the curve be continued ever so far , it will never meet the ...
... distance from A to 2 is the logarithm of the ordinate a2 ; from A to 3 is the logarithm of a3 , & c . 21. The ... distances from A to -1 , -2 , -3 , & c . are negative . 22. If the curve be continued ever so far , it will never meet the ...
Σελίδα 13
... distance of the first significant figure of the • fraction from the place of units . ( Art . 11. ) The log . of 0.07643 , of 0.00259 , of 0.0006278 , is 2.88326 , or 8.88326 , ( Art . 12. ) 3.41330 , or 7.41330 , 4.79782 , or 6.79782 ...
... distance of the first significant figure of the • fraction from the place of units . ( Art . 11. ) The log . of 0.07643 , of 0.00259 , of 0.0006278 , is 2.88326 , or 8.88326 , ( Art . 12. ) 3.41330 , or 7.41330 , 4.79782 , or 6.79782 ...
Σελίδα 52
... distances , in surveying , navigation and astronomy , are solved by rectangular trigonometry . Any triangle whatever may be divided into two right angled triangles , by drawing a perpendicular from one of the angles to the opposite side ...
... distances , in surveying , navigation and astronomy , are solved by rectangular trigonometry . Any triangle whatever may be divided into two right angled triangles , by drawing a perpendicular from one of the angles to the opposite side ...
Σελίδα 77
... are much more simple in practice . * * For the application of Trigonometry to the Mensuration of Heights and Distances , see Navigation and Surveying . SECTION V. GEOMETRICAL CONSTRUCTION OF TRIAN- GLES , BY THE TRIANGLES . 77.
... are much more simple in practice . * * For the application of Trigonometry to the Mensuration of Heights and Distances , see Navigation and Surveying . SECTION V. GEOMETRICAL CONSTRUCTION OF TRIAN- GLES , BY THE TRIANGLES . 77.
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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.