Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 43
Page 10
... divided by B. A В B ' The Exponential Sign : is to be multiplied indicates that A is to be . Thus , 43 , indicates that A is to be taken three times as a factor , or raised to the third power . The Radical Sign , √ : Thus , A , B ...
... divided by B. A В B ' The Exponential Sign : is to be multiplied indicates that A is to be . Thus , 43 , indicates that A is to be taken three times as a factor , or raised to the third power . The Radical Sign , √ : Thus , A , B ...
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 . The word line , alone , is used for ...
... 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 . The word line , alone , is used for ...
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 will be 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 between two ...
... divided by equals , the quotients will be 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 between two ...
Other editions - View all
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