Plane TrigonometryLongmans, Green, and Company, 1906 |
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Página xiv
... described by as professon this inventio venient for or Every good This brief in of bringing t make them r A little preli alvantage to eview of lo trongly reco The logari Bings's logarit also a modif dified systen ural logarit Sperian ...
... described by as professon this inventio venient for or Every good This brief in of bringing t make them r A little preli alvantage to eview of lo trongly reco The logari Bings's logarit also a modif dified systen ural logarit Sperian ...
Página 1
... described by him in 1614. From Henry Briggs ( 1556-1631 ) , who was professor at Gresham College , London , and later at Oxford , this invention received modifications which made it more con- venient for ordinary practical purposes ...
... described by him in 1614. From Henry Briggs ( 1556-1631 ) , who was professor at Gresham College , London , and later at Oxford , this invention received modifications which made it more con- venient for ordinary practical purposes ...
Página 15
... described in arithmetic . The system mostly used in English- speaking countries is that in which length is given in miles , yards , feet , or inches . The system which is in common use on the continent of Europe , and which is mainly ...
... described in arithmetic . The system mostly used in English- speaking countries is that in which length is given in miles , yards , feet , or inches . The system which is in common use on the continent of Europe , and which is mainly ...
Página 19
... described in Chapter IX . See Art . 71 . The protractor . The protractor is an instrument used for meas uring given angles and laying off required angles on paper . Pro- tractors are of various kinds , of which the semicircular and the ...
... described in Chapter IX . See Art . 71 . The protractor . The protractor is an instrument used for meas uring given angles and laying off required angles on paper . Pro- tractors are of various kinds , of which the semicircular and the ...
Página 58
... described later . There are four cases in the solution of oblique triangles ; these cases correspond to the four problems of construction stated above . CASE I. Given two angles and a side opposite to one of them . A A α A B D A D B FIG ...
... described later . There are four cases in the solution of oblique triangles ; these cases correspond to the four problems of construction stated above . CASE I. Given two angles and a side opposite to one of them . A A α A B D A D B FIG ...
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Términos y frases comunes
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
Pasajes populares
Página 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...
Página 42 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 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...
Página 74 - The area of the surface of a sphere is four times the area of a great circle.
Página 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.
Página 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...
Página 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.
Página 128 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Página 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.
Página 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