Plane Trigonometry, for Colleges and Secondary SchoolsLongmans, Green, and Company, 1899 - 206 páginas |
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... polygons and circles 34. Solution of oblique triangles 蚵蚵仔 54 55 55 57 34a . Area of a triangle in terms of its sides 346. Distance and dip of the visible horizon 34c . Examples in the measurement of land 35. Summary . 60 61 61 63 ...
... polygons and circles 34. Solution of oblique triangles 蚵蚵仔 54 55 55 57 34a . Area of a triangle in terms of its sides 346. Distance and dip of the visible horizon 34c . Examples in the measurement of land 35. Summary . 60 61 61 63 ...
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... polygons and circles . The knowledge of trigonometry thus far attained , is of service in solving many problems in which circles and regular polygons are concerned . 32.1 55 ISOSCELES TRIANGLES . Solution of isosceles triangles Related ...
... polygons and circles . The knowledge of trigonometry thus far attained , is of service in solving many problems in which circles and regular polygons are concerned . 32.1 55 ISOSCELES TRIANGLES . Solution of isosceles triangles Related ...
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... polygon of a given number of sides , to find its area ; also , to find the radii of the inscribed and circumscribing circles of the polygon ; ( b ) To find the lengths of the sides of regular polygons of a given number of sides which ...
... polygon of a given number of sides , to find its area ; also , to find the radii of the inscribed and circumscribing circles of the polygon ; ( b ) To find the lengths of the sides of regular polygons of a given number of sides which ...
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... polygon of n sides is 2r sin and that the side of the regular circum- 180 ° n 180 ° - ; scribing polygon is 2 r tan n 8. If a be the side of a regular polygon of n sides , R the radius of the cir- cumscribing circle , and r the radius ...
... polygon of n sides is 2r sin and that the side of the regular circum- 180 ° n 180 ° - ; scribing polygon is 2 r tan n 8. If a be the side of a regular polygon of n sides , R the radius of the cir- cumscribing circle , and r the radius ...
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... polygons : pentagon , hexagon , heptagon , octagon , decagon , dodecagon , quindecagon . 12. Find the number of radians and the number of degrees in the follow- ing angles subtended at the centres of circles : ( 1 ) arc 10 in . , radius ...
... polygons : pentagon , hexagon , heptagon , octagon , decagon , dodecagon , quindecagon . 12. Find the number of radians and the number of degrees in the follow- ing angles subtended at the centres of circles : ( 1 ) arc 10 in . , radius ...
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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'.