Plane TrigonometryLongmans, Green, and Company, 1906 |
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Page 4
... called the mantissa , the * The base of the natural system of logarithms is an incommensurable number , which is always denoted by the letter e and is approximately equal to 2.7182818284 . integral part of the logarithm is called the ...
... called the mantissa , the * The base of the natural system of logarithms is an incommensurable number , which is always denoted by the letter e and is approximately equal to 2.7182818284 . integral part of the logarithm is called the ...
Page 5
Daniel Alexander Murray. integral part of the logarithm is called the index or charac teristic . The two great advantages of the common system , as will now be shown , are : ( 1 ) The characteristic of a logarithm can be written on mere ...
Daniel Alexander Murray. integral part of the logarithm is called the index or charac teristic . The two great advantages of the common system , as will now be shown , are : ( 1 ) The characteristic of a logarithm can be written on mere ...
Page 15
... called drawing to scale . In many cases the drawings of objects cannot be made full size ; for instance , the map of a town , the floor plan of a church ; these are drawn to a reduced scale . In other cases the drawings are made larger ...
... called drawing to scale . In many cases the drawings of objects cannot be made full size ; for instance , the map of a town , the floor plan of a church ; these are drawn to a reduced scale . In other cases the drawings are made larger ...
Page 17
... called scales . The faces of these rules contain different numbers of divisions to an inch , one 10 divisions , one 20 , one 30 , and so on ; and generally , one inch on each face is subdivided so that small fraction of an inch may be ...
... called scales . The faces of these rules contain different numbers of divisions to an inch , one 10 divisions , one 20 , one 30 , and so on ; and generally , one inch on each face is subdivided so that small fraction of an inch may be ...
Page 18
... called a degree . All degrees are equal to one another , since all right angles are equal to one another . Each degree is subdivided into 60 equal par's cailed minutes , and each minute is subdivided into 60 equal parts called seconds ...
... called a degree . All degrees are equal to one another , since all right angles are equal to one another . Each degree is subdivided into 60 equal par's cailed minutes , and each minute is subdivided into 60 equal parts called seconds ...
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Common terms and phrases
A+B+C acute angle algebraic centre CHAPTER circumscribing computation cos² cosec cotangent deduced denoted Derive diedral angle draw equal equator EXAMPLES expression figure Find the distance formulas geometry given Hence hypotenuse included angle inscribed circle intersection latitude law of cosines law of sines length logarithms mantissa mathematics meridian method NOTE number of degrees number of sides opposite perpendicular plane triangle Plane Trigonometry polar triangle pole positive quadrant radian measure radii radius regular polygon relations respectively right angles right triangles right-angled triangle secant Show sides and angles sin² solid angle solution Solve ABC sphere spherical angle spherical degree spherical excess spherical polygon spherical triangle spherical trigonometry subtended surface tables tan² tangent terminal line three angles tower triangle ABC trigono trigonometric functions trigonometric ratios π π
Popular passages
Page 52 - A sin B sin C Cosine Law: cos a = cos b cos c + sin b sin c cos A cos b = cos c cos a + sin c sin a cos B cos c = cos a cos b...
Page 42 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 108 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Page 74 - The area of the surface of a sphere is four times the area of a great circle.
Page 108 - 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 and the cosine of their included angle.
Page 72 - The lateral area of a frustum of a cone of revolution is equal to one-half the sum of the circumferences of its bases multiplied by its slant height. Hyp. S is the lateral area, C and C...
Page 62 - Geometry that 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 THE RIGHT TRIANGLE.
Page 128 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Page 200 - Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides.
Page 202 - Find the area of a regular polygon of n sides inscribed in a circle, and show, by increasing the number of sides of the polygon without limit, how the expression for the area of the circle may be obtained. 13. (a) Find the distance at which a building 50 ft. wide will subtend an angle of 3'. (6) A church spire 45 ft. high subtends an angle of 9