Plane Trigonometry, for Colleges and Secondary SchoolsLongmans, Green, and Company, 1899 - 206 páginas |
Dentro del libro
Resultados 1-5 de 14
Página ix
... scale . Direct measurement by means of drawing 11. Degree measure . The protractor 12. Trigonometric ratios defined for acute angles . 20 182 15 18 13. Definite and invariable connection between acute angles and trig- onometric ratios ...
... scale . Direct measurement by means of drawing 11. Degree measure . The protractor 12. Trigonometric ratios defined for acute angles . 20 182 15 18 13. Definite and invariable connection between acute angles and trig- onometric ratios ...
Página 15
... scale . Direct measurement by means of drawings . Various systems of linear measurement are described in arithmetic . The system mostly used in English ... SCALE . Linear measure Drawing to scale Direct measurement by means of drawing.
... scale . Direct measurement by means of drawings . Various systems of linear measurement are described in arithmetic . The system mostly used in English ... SCALE . Linear measure Drawing to scale Direct measurement by means of drawing.
Página 16
... scale , the scale should always be indicated on it . This may be done in various ways . Thus a mere statement may be made , e.g. , 1 inch to 10 feet ; or , the scale may be indicated by a fraction which gives the ratio of any line in ...
... scale , the scale should always be indicated on it . This may be done in various ways . Thus a mere statement may be made , e.g. , 1 inch to 10 feet ; or , the scale may be indicated by a fraction which gives the ratio of any line in ...
Página 17
... scale ? 4. When an inch 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 ...
... scale ? 4. When an inch 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 ...
Página 19
... scale of 60. Their tables of time ( 1 day 24 hr . , 1 hr . = 60 min . , 1 min . = 60 sec . ) and circular measure have come down to the present day . It has been suggested that their adoption of the scale of 60 is due to the fact that ...
... scale of 60. Their tables of time ( 1 day 24 hr . , 1 hr . = 60 min . , 1 min . = 60 sec . ) and circular measure have come down to the present day . It has been suggested that their adoption of the scale of 60 is due to the fact that ...
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'.