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 11
... FOUR figures , either with , or without , ciphers annexed . Look for the three first figures , on the left hand , and for the fourth figure , at the head of one of the columns . The logarithm will be found , opposite the three first ...
... FOUR figures , either with , or without , ciphers annexed . Look for the three first figures , on the left hand , and for the fourth figure , at the head of one of the columns . The logarithm will be found , opposite the three first ...
Σελίδα 12
... four figures ; Take out the logarithm of two numbers , one greater , and the other less , than the number proposed : Find the differ- ́ence of the two numbers , and the difference of their loga- rithms : Take also the difference between ...
... four figures ; Take out the logarithm of two numbers , one greater , and the other less , than the number proposed : Find the differ- ́ence of the two numbers , and the difference of their loga- rithms : Take also the difference between ...
Σελίδα 38
... four equal parts , each containing 90 degrees . As a right angle is subtended by an arc of 90 ° , the angle itself is said to contain 90 ° . Hence , in two right angles , there are 180 ° , in four right an- gles 360 ° ; and in any other ...
... four equal parts , each containing 90 degrees . As a right angle is subtended by an arc of 90 ° , the angle itself is said to contain 90 ° . Hence , in two right angles , there are 180 ° , in four right an- gles 360 ° ; and in any other ...
Σελίδα 53
... four parts , one of the acute angles , and the three sides to be sought by calculation . If any two of these be given , with the right angle , the others may be found . 117. To illustrate the method of calculation , let a case be ...
... four parts , one of the acute angles , and the three sides to be sought by calculation . If any two of these be given , with the right angle , the others may be found . 117. To illustrate the method of calculation , let a case be ...
Σελίδα 54
... four triangles CAD , CBG , Cad , and Cbg , are similar . For each of them , from the nature of sines and tangents , contains one right an- gle ; the angle at C is common to them all ; and the other acute angle in each is the complement ...
... four triangles CAD , CBG , Cad , and Cbg , are similar . For each of them , from the nature of sines and tangents , contains one right an- gle ; the angle at C is common to them all ; and the other acute angle in each is the complement ...
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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.