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 vii
... Length of an Arc , .. Area of a Circle , .... Area of a Sector , Area of a Segment ... Area of a Circular Ring ,. 117 118 118 120 125 126 126 127 129 130 130 131 131 132 138 PAGE Area of the Surface of a Prism , Area CONTENTS . vii.
... Length of an Arc , .. Area of a Circle , .... Area of a Sector , Area of a Segment ... Area of a Circular Ring ,. 117 118 118 120 125 126 126 127 129 130 130 131 131 132 138 PAGE Area of the Surface of a Prism , Area CONTENTS . vii.
Page viii
... Surface of a Prism , Area of the Surface of a Pyramid , Area of the Frustum of a Cone , ... 184 134 135 Area of the Surface of a Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of ...
... Surface of a Prism , Area of the Surface of a Pyramid , Area of the Frustum of a Cone , ... 184 134 135 Area of the Surface of a Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of ...
Page 9
... SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity ... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of ...
... SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity ... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of ...
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.
... . 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.
Page 14
... 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 wholly in the surface . 9. A CURVED SURFACE is a surface ...
... 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 wholly in the surface . 9. A CURVED SURFACE is a surface ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence