Plane Trigonometry, for Colleges and Secondary SchoolsLongmans, Green, and Company, 1899 - 206 páginas |
Dentro del libro
Resultados 1-5 de 20
Página 16
... represented . The scale can also be shown graphically by means of a specially marked line . Both the latter methods ... represents 120 feet , then 2.5 inches represents 300 feet . Another example : On the map of Saxony referred to above ...
... represented . The scale can also be shown graphically by means of a specially marked line . Both the latter methods ... represents 120 feet , then 2.5 inches represents 300 feet . Another example : On the map of Saxony referred to above ...
Página 17
... represents 10 mi . , what distances are represented by 3 in . , 7 in . , 4 in . , 1⁄2 in . , 31⁄2 in . ? What lengths on the drawings will represent 7 mi . , 18 mi . , 25 mi . ? What is the scale ? 5. What are the scales when 1 in .
... represents 10 mi . , what distances are represented by 3 in . , 7 in . , 4 in . , 1⁄2 in . , 31⁄2 in . ? What lengths on the drawings will represent 7 mi . , 18 mi . , 25 mi . ? What is the scale ? 5. What are the scales when 1 in .
Página 19
... representing the daily part of the supposed yearly revolution of the sun around the earth . Probably they knew that the radius could be applied to the circumference as a chord six times , and that each arc thus cut off contained 60 ...
... representing the daily part of the supposed yearly revolution of the sun around the earth . Probably they knew that the radius could be applied to the circumference as a chord six times , and that each arc thus cut off contained 60 ...
Página 38
... representing the given sides , and then measuring the remaining parts directly from the drawing . For example , a triangle has two sides whose lengths are 10 ft . , 5 ft . , and the included angle is 28 ° 30 ' ; the third side and the ...
... representing the given sides , and then measuring the remaining parts directly from the drawing . For example , a triangle has two sides whose lengths are 10 ft . , 5 ft . , and the included angle is 28 ° 30 ' ; the third side and the ...
Página 39
... represented by RQ . [ The results thus obtained may be compared with those obtainable by the method of com- putation explained in Arts . 54 , 57. The latter results are R : = 128 ° 26 ' 46 " , Q = 23 ° 3 ' 14 " , RQ 6.092 . ] = P 5 Ft ...
... represented by RQ . [ The results thus obtained may be compared with those obtainable by the method of com- putation explained in Arts . 54 , 57. The latter results are R : = 128 ° 26 ' 46 " , Q = 23 ° 3 ' 14 " , RQ 6.092 . ] = P 5 Ft ...
Contenido
134 | |
135 | |
137 | |
138 | |
139 | |
146 | |
147 | |
149 | |
55 | |
61 | |
64 | |
67 | |
92 | |
98 | |
106 | |
110 | |
113 | |
115 | |
116 | |
117 | |
118 | |
119 | |
120 | |
121 | |
122 | |
123 | |
128 | |
129 | |
131 | |
151 | |
156 | |
157 | |
158 | |
159 | |
185 | |
1 | |
13 | |
39 | |
40 | |
49 | |
52 | |
54 | |
58 | |
60 | |
61 | |
74 | |
75 | |
83 | |
Otras ediciones - Ver todas
Términos y frases comunes
A+B+C acute angle algebraic angle of elevation central angle CHAPTER circle circumscribing cologarithm column computation cos² cosec cotangent deduced denoted Derive draw equal equation EXAMPLES expression figures find log Find the angle Find the distance Find the height find the number formulas geometrical Given log graph Hence Hipparchus hypotenuse inverse trigonometric functions isosceles triangle law of sines length M₁ mantissa mantissa of log mathematics method negative NOTE number of degrees number of sides OP₁ perpendicular proj Prove radian measure radius regular polygon revolving right angles right-angled triangle sec² secant Show shown sin² sin³ sine and cosine Solve spherical trigonometry subtended tan-¹ tan² tangent terminal line theorems tower triangle ABC trigono trigonometric functions trigonometric ratios turning line whole number X₁
Pasajes populares
Página 100 - These formulas can be expressed in words : In any triangle, the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides multiplied by the cosine of their included angle.
Página 54 - The area of a triangle is equal to one-half the product of the base by the altitude ; therefore, if a and b denote the legs of a right triangle, and F the area, F = \ ab.
Página 122 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Página 192 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Página vii - ... facility other French books. In the Dictionary at the end, is given the meaning of every- word contained in the book. The explanatory words are placed at the end of the book, instead of at the foot of the page; by this method learners will derive considerable benefit.
Página 83 - P'M' = sin a, OP' = cos a, AT'" = tan a, JBT" = cot a, OT" = sec a, OT'" = cosec a, without reference to their signs : hence, we have, as before, the following relations : sin (180° — a) = sin a, cos (180° — a) — — cos a, tan (180° — a) = — tan a, cot (180° — a) = — cot a, sec (180° — a) = — sec a, cosec (180 — a) = cosec a, By a similar process, we may discuss the remaining arcs b question.
Página 5 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Página 189 - Two observers on the same side of a balloon, and in the same vertical plane with it, are a mile apart, and find the angles of elevation to be 17° and 68° 25' respectively : what is its height ? [1836 feet.
Página 54 - Hence, the area of a triangle is equal to one-half the product of any two sides ' and the sine of their contained angle. EXAMPLES. 1. Find the area of the triangle in which two sides are 31 ft. and 23 ft. and their contained angle 67° 30'.