Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 6
... PLANE TRIGONOMETRY . Plane Trigonometry Defined , ... Functions of the Arc ,. ..... Table of Natural Sines , .. Table of Logarithmic Sines , Use of the Table , ...... .... Solution of Right - angled Triangles ,. Solution of Oblique ...
... PLANE TRIGONOMETRY . Plane Trigonometry Defined , ... Functions of the Arc ,. ..... Table of Natural Sines , .. Table of Logarithmic Sines , Use of the Table , ...... .... Solution of Right - angled Triangles ,. Solution of Oblique ...
Page 13
... up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I.
... up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I.
Page 14
... 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 neither a plane nor composed of ...
... 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 neither a plane nor composed of ...
Page 15
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
Page 59
... plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir- cumference . # :) 2. A RADIUS is a straight line drawn from the centre to ...
... plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir- cumference . # :) 2. A RADIUS is a straight line drawn from the centre to ...
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Common terms and phrases
ABē 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