Elements of Geometry and Trigonometry |
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Page 7
... SPHERICAL Spherical Trigonometry Defined , General Principles , .... TRIGONOMETRY . Formulas for Right - angled ... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a ...
... SPHERICAL Spherical Trigonometry Defined , General Principles , .... TRIGONOMETRY . Formulas for Right - angled ... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find the Diameter of a ...
Page 8
... Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid ...
... Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid ...
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
... POLYGON is a portion of the surface of a sphere bounded by arcs of three or more great circles . The bounding arcs are called sides of the polygon ... SPHERICAL PYRAMID is a portion of a sphere BOOK IX Spherical Geometry,
... POLYGON is a portion of the surface of a sphere bounded by arcs of three or more great circles . The bounding arcs are called sides of the polygon ... SPHERICAL PYRAMID is a portion of a sphere BOOK IX Spherical Geometry,
Page 236
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 called the base of the pyramid . and ...
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 called the base of the pyramid . and ...
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Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence