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
... vertex . An angle is designated by naming its sides , or sometimes by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one straight line meets another , the two angles which they ...
... vertex . An angle is designated by naming its sides , or sometimes by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one straight line meets another , the two angles which they ...
Page 16
... vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference to either their sides , or their angles . When ...
... vertices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference to either their sides , or their angles . When ...
Page 25
... vertex E ; and because AC is equal to DF , the vertex C will coincide with the vertex F ; consequently , the side BC will coincide with the side EF ( A. 11 ) . The two triangles , therefore , coincide through- out , and are consequently ...
... vertex E ; and because AC is equal to DF , the vertex C will coincide with the vertex F ; consequently , the side BC will coincide with the side EF ( A. 11 ) . The two triangles , therefore , coincide through- out , and are consequently ...
Page 26
... vertex C will coincide with the vertex F ; and because the angle C is equal to the angle F , the side CA will take the direction FD . Now , the vertex A being at the same time on the lines ED and FD , it must be at their intersection D ...
... vertex C will coincide with the vertex F ; and because the angle C is equal to the angle F , the side CA will take the direction FD . Now , the vertex A being at the same time on the lines ED and FD , it must be at their intersection D ...
Page 30
... the angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then the angle C is equal to the ingle B. Join the vertex A and the middle point D of 30 GEOMETRY.
... the angles opposite the equal sides are equal . Let BAC be an isosceles triangle , having the side AB equal to the side AC : then the angle C is equal to the ingle B. Join the vertex A and the middle point D of 30 GEOMETRY.
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence