Plane Trigonometry and TablesGinn, 1914 - 314 páginas |
Dentro del libro
Resultados 1-5 de 24
Página 2
... means of which angles can be measured to minutes . By turning the top of the transit to the right or left , horizontal angles can be measured on the horizontal plate . By turning the telescope up or down , ver- tical angles can be ...
... means of which angles can be measured to minutes . By turning the top of the transit to the right or left , horizontal angles can be measured on the horizontal plate . By turning the telescope up or down , ver- tical angles can be ...
Página 6
... means of the above table , the sides and hypotenuse of a right triangle , given : 40. A = 20 ° , c = 1 . 41. A 20 ° , c = 4 . 42. A = 20 ° , c = 3.5 . 43. A 20 ° , c = 4.8 . - 44. A 20 ° , c = 7 . - = 45. A = 40 ° , c = 1 . 46. A 40 ...
... means of the above table , the sides and hypotenuse of a right triangle , given : 40. A = 20 ° , c = 1 . 41. A 20 ° , c = 4 . 42. A = 20 ° , c = 3.5 . 43. A 20 ° , c = 4.8 . - 44. A 20 ° , c = 7 . - = 45. A = 40 ° , c = 1 . 46. A 40 ...
Página 7
... means complement's sine , and similarly for the other co - functions . It is therefore seen that sin 75 ° : = cos ( 90 ° 75 ° ) = cos 15 ° , sec 82 ° 30 ' csc ( 90 ° 82 ° 30 ' ) = csc 7 ° 30 ' , and so on . - Therefore , any function of ...
... means complement's sine , and similarly for the other co - functions . It is therefore seen that sin 75 ° : = cos ( 90 ° 75 ° ) = cos 15 ° , sec 82 ° 30 ' csc ( 90 ° 82 ° 30 ' ) = csc 7 ° 30 ' , and so on . - Therefore , any function of ...
Página 10
... means of common fractions or by means of decimal fractions with a finite number of decimal places . 12. Arrangement of the Table . As explained in § 8 , cos 45 ° = sin 45o , cos 46 ° = sin 44 ° , cos 47 ° = sin 43 ° , and so on . Hence ...
... means of common fractions or by means of decimal fractions with a finite number of decimal places . 12. Arrangement of the Table . As explained in § 8 , cos 45 ° = sin 45o , cos 46 ° = sin 44 ° , cos 47 ° = sin 43 ° , and so on . Hence ...
Página 27
... means ( 3 + 10 + 3150 ) hr . , 15 60 3 ° 10 ' 15 " means ( 3 + 10 +350 ) ° . 3600 • In medieval times the sexagesimal system was carried farther than this . For 10 20 30 45 example , 3 10 ′ 20 ′′ 30 ′′ 45iv was used for 3+ + + + Some 60 ...
... means ( 3 + 10 + 3150 ) hr . , 15 60 3 ° 10 ' 15 " means ( 3 + 10 +350 ) ° . 3600 • In medieval times the sexagesimal system was carried farther than this . For 10 20 30 45 example , 3 10 ′ 20 ′′ 30 ′′ 45iv was used for 3+ + + + Some 60 ...
Otras ediciones - Ver todas
Términos y frases comunes
9 log absolute value acute angle angle of depression angle of elevation antilogarithm base characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cosine cot log cotangent cotx decimal places degree diameter divided equation example Exercise Find log Find the antilogarithm Find the area Find the distance Find the height Find the length Find the number Find the value formula given number given the following graph Hence horizontal hypotenuse included angle integers interpolation isosceles triangle Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa multiply negative plane polygon positive quadrant radians radius right triangle roots secant secx sexagesimal ship sails sin log cos sin(x sin² sin²x Solve subtends subtract tabular difference tangent triangle ABC trigonometry whence
Pasajes populares
Página 99 - EXERCI8E XII. 1. What do the formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 43 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 43 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Página 98 - The sides of a triangle are proportional to the sines of the opposite angles.
Página 47 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 141 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).
Página 41 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 118 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.
Página 59 - From the top of a hill the angles of depression of two objects situated in the...
Página 21 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.