Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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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 ; of five sides ...
... 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 ; of five sides ...
Page 20
... - gles BAC , CAD , 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 B- D E F A the sum of the angles EAB and EAF ; which 20 GEOMETRY . Propositions,
... - gles BAC , CAD , 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 B- D E F A the sum of the angles EAB and EAF ; which 20 GEOMETRY . Propositions,
Page 22
... are mutually perpendicular 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 For , if two lines be drawn through the point 22 GEOMETRY .
... are mutually perpendicular 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 For , if two lines be drawn through the point 22 GEOMETRY .
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence