Elementary text-book of trigonometryBlackie & Son, 1884 - 176 páginas |
Dentro del libro
Resultados 1-5 de 15
Página 58
... positive quan- tities , and angles measured in the opposite direction negative quantities . It is usual in all branches of mathematics to con- sider the direction opposite to that of the hands of a watch as the positive direction , and ...
... positive quan- tities , and angles measured in the opposite direction negative quantities . It is usual in all branches of mathematics to con- sider the direction opposite to that of the hands of a watch as the positive direction , and ...
Página 59
... positive angle and 8 is a negative angle , and a + d = 67 ° 20 ′ 30 ′′ – 10 ° 14 ′ 15 ′′ = 57 ° 6 ′ 15 ′′ ; therefore 90 ° -λ = 57 ° 6 ′ 15 ′′ , from which λ = 32 ° 53 ′ 45 ′′ . 37. Convention as to Positive and Negative Lines . A ...
... positive angle and 8 is a negative angle , and a + d = 67 ° 20 ′ 30 ′′ – 10 ° 14 ′ 15 ′′ = 57 ° 6 ′ 15 ′′ ; therefore 90 ° -λ = 57 ° 6 ′ 15 ′′ , from which λ = 32 ° 53 ′ 45 ′′ . 37. Convention as to Positive and Negative Lines . A ...
Página 61
... positive or negative number according as P is above or below the line AA ' , and OM will be represented by a positive or B P B KH A- Β ́ B M -A A 24 M B A M A 10 M Β ́ negative number according as M falls to the right or to the left of ...
... positive or negative number according as P is above or below the line AA ' , and OM will be represented by a positive or B P B KH A- Β ́ B M -A A 24 M B A M A 10 M Β ́ negative number according as M falls to the right or to the left of ...
Página 62
... positive numbers , but that the cosine , tangent , cotangent , and secant are negative numbers . ( 3. ) When AOC is an angle in the third quadrant , as in the third figure , PM and OM are both represented by negative numbers , and ...
... positive numbers , but that the cosine , tangent , cotangent , and secant are negative numbers . ( 3. ) When AOC is an angle in the third quadrant , as in the third figure , PM and OM are both represented by negative numbers , and ...
Página 63
... positive or nega- tive direction through an angle of 4 right angles , or any mul- tiple of 4 right angles , it will return to the position from which it started . Hence we see from the definitions that the trigonometrical ratios remain ...
... positive or nega- tive direction through an angle of 4 right angles , or any mul- tiple of 4 right angles , it will return to the position from which it started . Hence we see from the definitions that the trigonometrical ratios remain ...
Otras ediciones - Ver todas
Términos y frases comunes
angle AOB applications base bears becomes boards calculations called centre changes CHAPTER characteristic circle circumference cloth complement consider contains cos2A cosA cosB cosC cosecA cosine cotA decimal definitions degree measure denote described determined diameter difference direction distance dividing drawn equal equation Euclid EXAMPLES Express feet figure find the values formula fraction given greater height Hence inches increases length logarithm magnitude miles minutes nearly negative object observed opposite perpendicular polygon positive Prove radian measure radius Reader regular relations represented respectively revolving right angle right-angled triangle root secA sides Similarly sin2A sinA sinB sinC sine Solve square Standard subtends taking tanA tangent third tower triangle triangle ABC trigonometrical ratios usual written yards
Pasajes populares
Página 90 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a".
Página 90 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Página 118 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 149 - Find the length of the side of a square whose area is equal to that of a rectangle the sides of which are 94 '28 and 6720 yards.
Página 89 - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.
Página 158 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.