Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 10
... divided by B .. A B ' The Exponential Sign : 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 , indicate that the square ...
... divided by B .. A B ' The Exponential Sign : 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 , indicate that the square ...
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
From the Works of A. M. Legendre Adrien Marie Legendre. Surfaces are 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 ...
From the Works of A. M. Legendre Adrien Marie Legendre. Surfaces are 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 ...
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 ...
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Common terms and phrases
AB² 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