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 ii
... Surfaces of the first and second order . Babies ' Bifferential AND Entegral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections , and Warped Surfaces . Babies ' Shades ...
... Surfaces of the first and second order . Babies ' Bifferential AND Entegral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections , and Warped Surfaces . Babies ' Shades ...
Page vii
... the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 Area of the Surface of a Prism , Area of CONTENTS . vi.
... the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 Area of the Surface of a Prism , Area of CONTENTS . vi.
Page viii
... Surface of a Prism , Area of the Surface of a Pyramid , PAGE . 120 120 Area of the Frustum of a Cone , Area of the Surface of a Sphere , 121 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a ...
... Surface of a Prism , Area of the Surface of a Pyramid , PAGE . 120 120 Area of the Frustum of a Cone , Area of the Surface of a Sphere , 121 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a ...
Page 9
... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties and relations of Geometrical Magnitudes . 4. In Geometry , the quantities considered are generally ...
... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties and relations of Geometrical Magnitudes . 4. In Geometry , the quantities considered are generally ...
Page 13
... lying in the sam 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 ANTRODUCTION, BOOK L Definitions,
... lying in the sam 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 ANTRODUCTION, BOOK L Definitions,
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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