Plane [and Spherical] Trigonometry for Colleges and Secondary SchoolsLongmans, Green, and Company, 1908 |
Dentro del libro
Resultados 1-5 de 100
Página
... Mr. J. A. Clark , B.S. , of the Ithaca High School , and from several of his colleagues in the departments of mathe- matics and of engineering at Cornell University . He is indebted : PLANE AND SPHERICAL TRIGONOMETRY D. A. MURRAY , B.
... Mr. J. A. Clark , B.S. , of the Ithaca High School , and from several of his colleagues in the departments of mathe- matics and of engineering at Cornell University . He is indebted : PLANE AND SPHERICAL TRIGONOMETRY D. A. MURRAY , B.
Página 9
... spheres . It consists of two sections , viz . Plane Trigonometry and Spherical Trigonometry . Elementary trigonom- etry has many useful applications , for instance , in the measure- ment of areas , heights , and distances . An ...
... spheres . It consists of two sections , viz . Plane Trigonometry and Spherical Trigonometry . Elementary trigonom- etry has many useful applications , for instance , in the measure- ment of areas , heights , and distances . An ...
Página 122
... sphere . He showed that the ratio of the circle to its diameter lies between 223 and 24 . In 1794 a French mathematician , Adrien Marie Legendre ( 1752-1833 ) , pub- lished his Elements of Geometry , in which the works of Euclid and ...
... sphere . He showed that the ratio of the circle to its diameter lies between 223 and 24 . In 1794 a French mathematician , Adrien Marie Legendre ( 1752-1833 ) , pub- lished his Elements of Geometry , in which the works of Euclid and ...
Página 162
... spherical triangles , and the as- sociated practical applications , constitute spherical trigonometry . These branches of mathematics are founded on geometrical con- siderations , and may be looked upon as applications of algebra to ...
... spherical triangles , and the as- sociated practical applications , constitute spherical trigonometry . These branches of mathematics are founded on geometrical con- siderations , and may be looked upon as applications of algebra to ...
Otras ediciones - Ver todas
Términos y frases comunes
A+B+C acute angles algebraic centre CHAPTER circumscribing computation cos² cosec cosine cotangent deduced denoted Derive diedral angle draw equal equation EXAMPLES expression figure Find the distance formulas geometry given height Hence hypotenuse included angle inscribed circle intersection inverse trigonometric functions isosceles triangle law of cosines law of sines length logarithms M₁ method negative NOTE number of degrees number of sides opposite perpendicular Plane Trigonometry polar triangle pole positive quadrant QUESTIONS AND EXERCISES radian measure radii radius regular polygon relations respectively revolving right angles right-angled triangle sec² secant Show sides and angles sin² sine solid angle Solve ABC sphere spherical angle spherical degree spherical excess spherical polygon spherical triangle spherical trigonometry subtended surface tan² tangent terminal line triangle ABC triedral trigonometric functions trigonometric ratios whole number
Pasajes populares
Página 35 - 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 25 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 87 - 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 85 - 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 55 - 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 111 - The ratio of a circumference of a circle to its diameter is the same for all circles. [See Art. 9 (6).] For the proof of (a), reference may be made to any plane geometry ; for instance, to Euclid VI., 33.* The proof of (6) is not contained in all geometries ; for instance, Euclid does not give...
Página 183 - 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 41 - 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.