Elementary text-book of trigonometryBlackie & Son, 1884 - 176 páginas |
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... Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for University Pass Examinations ...
... Examples marked A , B , C , & c . , and also the Miscellaneous Examples at the end , may be omitted on a first reading . It is hoped that this Text - book will be found useful to students pre- paring for University Pass Examinations ...
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... .. Section II . Solution of Oblique - angled Triangles . cations , ... ... IX . Areas . Miscellaneous Propositions , ANSWERS TO THE EXAMPLES , ... Appli- ... ... 135 149 ... h 170 TRIGONOMETRY . CHAPTER I. MEASUREMENT OF ANGLES . 1. Plane.
... .. Section II . Solution of Oblique - angled Triangles . cations , ... ... IX . Areas . Miscellaneous Propositions , ANSWERS TO THE EXAMPLES , ... Appli- ... ... 135 149 ... h 170 TRIGONOMETRY . CHAPTER I. MEASUREMENT OF ANGLES . 1. Plane.
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... example , the distance of a mile will be repre- sented by the number 1 when a mile is the unit of length , by the number 1760 when a yard is the unit of length , by the number 5280 when a foot is the unit of length , and so on . In like ...
... example , the distance of a mile will be repre- sented by the number 1 when a mile is the unit of length , by the number 1760 when a yard is the unit of length , by the number 5280 when a foot is the unit of length , and so on . In like ...
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... example , the angle which is the 90 48 48th part of a right angle contains or 17 degrees , and may be written in any one of the three forms 1 ° , 1 ° .875 , 1 ° 52 ... EXAMPLES I. 1. Express the following angles in degrees : 6 TRIGONOMETRY .
... example , the angle which is the 90 48 48th part of a right angle contains or 17 degrees , and may be written in any one of the three forms 1 ° , 1 ° .875 , 1 ° 52 ... EXAMPLES I. 1. Express the following angles in degrees : 6 TRIGONOMETRY .
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Robert Hamilton Pinkerton. EXAMPLES I. 1. Express the following angles in degrees : ( 1 ) of a right angle . ( 2 ) of 2 right angles . ( 3 ) of 3 right angles . ( 4 ) of 4 right angles . 2. In a triangle one angle is a right angle ; find ...
Robert Hamilton Pinkerton. EXAMPLES I. 1. Express the following angles in degrees : ( 1 ) of a right angle . ( 2 ) of 2 right angles . ( 3 ) of 3 right angles . ( 4 ) of 4 right angles . 2. In a triangle one angle is a right angle ; find ...
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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
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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.