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 10
... divided by B. The Exponential Sign : Thus , A3 , indicates that A is to be taken three times as a factor , or raised to the third power . The Radical Sign , √ : Thus , √Ā , VB , indicate that the square root of A , and the cube root ...
... divided by B. The Exponential Sign : Thus , A3 , indicates that A is to be taken three times as a factor , or raised to the third power . The Radical Sign , √ : Thus , √Ā , VB , indicate that the square root of A , and the cube root ...
Page 13
... divided into two classes , straight and curved . 4. A STRAIGHT LINE is one which does not change its direction at any point . 5. A CURVED LINE is one which changes its direction at every point . When the sense is obvious , to avoid ...
... divided into two classes , straight and curved . 4. A STRAIGHT LINE is one which does not change its direction at any point . 5. A CURVED LINE is one which changes its direction at every point . When the sense is obvious , to avoid ...
Page 14
... divided into two classes , plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is ...
... divided into two classes , plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is ...
Page 17
... divided into two species : trapezoids and parallelograms . 27. A TRAPEZOID is a quadrilateral which has only two of its sides parallel . 28. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There ...
... divided into two species : trapezoids and parallelograms . 27. A TRAPEZOID is a quadrilateral which has only two of its sides parallel . 28. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There ...
Page 18
... divided by equals , the quotients are equal . 8. The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal . 11. Only one straight line can be drawn joining two given ...
... divided by equals , the quotients are equal . 8. The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal . 11. Only one straight line can be drawn joining two given ...
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Common terms and phrases
ABē ABCD ACē 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