Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 7
... SPHERICAL TRIGONOMETRY . PAGE . 55 57-59 60-62 63 64-66 67 68-70 71 Spherical Trigonometry Defined , 73 General ... Polygon , 105 106 106 108 112 112 113 114 . Area of a Regular Polygon , To find the Circumference of a Circle , To find ...
... SPHERICAL TRIGONOMETRY . PAGE . 55 57-59 60-62 63 64-66 67 68-70 71 Spherical Trigonometry Defined , 73 General ... Polygon , 105 106 106 108 112 112 113 114 . Area of a Regular Polygon , To find the Circumference of a Circle , To find ...
Page 8
... 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 of a Pyramid , ..... Volume of the Frustum of a Pyramid , Volume of a Sphere ...
... 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 of a Pyramid , ..... Volume of the Frustum of a Pyramid , Volume of a Sphere ...
Page 215
... sphere , the zone has but one base . 17. A SPHERICAL SEGMENT is a portion of a sphere in- cluded between two ... polygon . The convex surface of this prism will be equal to the perimeter of its base multiplied by its altitude ( B. VII ...
... sphere , the zone has but one base . 17. A SPHERICAL SEGMENT is a portion of a sphere in- cluded between two ... polygon . The convex surface of this prism will be equal to the perimeter of its base multiplied by its altitude ( B. VII ...
Page 235
... spherical angle is the same as that of the diedral angle included between the planes of its sides . Spherical angles may be acute , right , or obtuse . 2. A SPHERICAL POLYGON is a portion of the surface of a sphere bounded by arcs of ...
... spherical angle is the same as that of the diedral angle included between the planes of its sides . Spherical angles may be acute , right , or obtuse . 2. A SPHERICAL POLYGON is a portion of the surface of a sphere bounded by arcs of ...
Page 236
From the Works of A. M. Legendre Adrien Marie Legendre. 6. A SPHERICAL PYRAMID is a portion of a sphere bounded by a spherical polygon and sectors of circles whose common centre is the centre of the sphere . The spherical polygon is ...
From the Works of A. M. Legendre Adrien Marie Legendre. 6. A SPHERICAL PYRAMID is a portion of a sphere bounded by a spherical polygon and sectors of circles whose common centre is the centre of the sphere . The spherical polygon is ...
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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