Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 4
... Surfaces of the first and second order . Babies ' Bifferential and Integral Calculus . Babies ' 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 Integral Calculus . Babies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections , and Warped Surfaces . Babies ' Shades ...
Page 7
... Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area of CONTENTS . vi.
... Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area of CONTENTS . vi.
Page 8
... Surface of a Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 127 128 132 Volume ...
... Surface of a Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 127 128 132 Volume ...
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
... . A line made 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.
... . A line made 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.
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Common terms and phrases
ABĀ² 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