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 14
... formed by one straight line meeting another so as to make the adjacent angles equal . The first fine 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 fine 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 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 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 . F B 租-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 . F B 租-D For , if two lines be drawn through the point 22 GEOMETRY .
Page 37
... formed about the points of C- -D H intersection have different names , with respect to each other . F 1o . INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side of the secant and within the other two lines . Thus , BGH ...
... formed about the points of C- -D H intersection have different names , with respect to each other . F 1o . INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side of the secant and within the other two lines . Thus , BGH ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin 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 polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence