Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 4
... forming a single Science . ENTERED , according to Act of Congress , in the year one thousand eight hundred anɑ 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 anɑ 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
... - 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 C E B- -F A the sum of the angles EAB and EAF ; which 20 GEOMETRY .
... - 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 C E B- -F A the sum of the angles EAB and EAF ; which 20 GEOMETRY .
Page 22
... 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 . F B 租 For , if two lines be drawn through the point 22 GEOMETRY .
... 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 . F B 租 For , if two lines be drawn through the point 22 GEOMETRY .
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Common terms and phrases
ABē ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following