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 37
... measures the progress of light from the stars . 72. Trigonometry is either plane or spherical . The for- mer treats ... measuring the latter , a circle is introduced . The periphery of every circle , whether great or small , is supposed ...
... measures the progress of light from the stars . 72. Trigonometry is either plane or spherical . The for- mer treats ... measuring the latter , a circle is introduced . The periphery of every circle , whether great or small , is supposed ...
Σελίδα 38
... measure of the angle ACB . It is immaterial what is the size of the circle , provided it cuts the lines which include the angle . Thus the angle ACD ( Fig . 4. ) is measured by either of the arcs AG , ag . For ACD is to ACH , as AG to ...
... measure of the angle ACB . It is immaterial what is the size of the circle , provided it cuts the lines which include the angle . Thus the angle ACD ( Fig . 4. ) is measured by either of the arcs AG , ag . For ACD is to ACH , as AG to ...
Σελίδα 43
... measured by this arc , will also contain 60 ° ; ( Art . 75. ) and the triangle ACS will be equilateral . For the sum of the three angles is equal to 180 ° . ( Art . 76. ) From this , taking the angle ACS which is 60 ° , the sum of the ...
... measured by this arc , will also contain 60 ° ; ( Art . 75. ) and the triangle ACS will be equilateral . For the sum of the three angles is equal to 180 ° . ( Art . 76. ) From this , taking the angle ACS which is 60 ° , the sum of the ...
Σελίδα 78
... measure hundredths of an inch , by inclining more and more to the right , as they cross each of the parallels . To take off , for instance , an extent of 3 inches , 4 tenths , and 6 hundredths ; Place one foot of the compasses at the ...
... measure hundredths of an inch , by inclining more and more to the right , as they cross each of the parallels . To take off , for instance , an extent of 3 inches , 4 tenths , and 6 hundredths ; Place one foot of the compasses at the ...
Σελίδα 79
... measure it . Now the proper measure of an angle is an arc of a circle . ( Art . 74. ) And the mea- sure of an arc , where the radius is given , is its chord . For the chord is the distance , in a straight line , from one end of the arc ...
... measure it . Now the proper measure of an angle is an arc of a circle . ( Art . 74. ) And the mea- sure of an arc , where the radius is given , is its chord . For the chord is the distance , in a straight line , from one end of the arc ...
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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.