Elements of Geometry and Trigonometry |
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Page ii
... forming a single Science . ENTERED , according to Act of Congress , in the year one thousand eight hundred and sixty - two , by CHARLES DAVIES , in the Clerk's Office of the District Court of the United States for the Southern District ...
... forming a single Science . ENTERED , according to Act of Congress , in the year one thousand eight hundred and sixty - two , by CHARLES DAVIES , in the Clerk's Office of the District Court of the United States for the Southern District ...
Page 14
... formed by one straight line meeting another so as to make the adjacent angles equal . The first line is then said to be perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the ...
... formed by one straight line meeting another so as to make the adjacent angles equal . The first line is then said to be perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the ...
Page 15
... formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of their sides or angles . A Polygon of three sides is called a triangle ; one of four sides , a quadrilateral ; one of five ...
... formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of their sides or angles . A Polygon of three sides is called a triangle ; one of four sides , a quadrilateral ; one of five ...
Page 20
... , DAE , EAF , formed about a given point on the same side of a straight line BF , is equal to two right an- gles . For , their sum is equal to D C E B- F A the sum of the angles EAB and EAF ; which 20 GEOMETRY . Propositions,
... , DAE , EAF , formed about a given point on the same side of a straight line BF , is equal to two right an- gles . For , their sum is equal to D C E B- F A the sum of the angles EAB and EAF ; which 20 GEOMETRY . Propositions,
Page 22
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . B A F E · D For , if two lines be drawn through the point 22 GEOMETRY .
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . B A F E · D For , if two lines be drawn through the point 22 GEOMETRY .
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
ABē ABCD ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...