Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 9
Page vii
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , .. 76 General Principles , 76 ....... Formulas for Right ... Polygon , Area of a Regular Polygon ,. To find the Circumference of a Circle , ........ To find the Diameter of a ...
... SPHERICAL TRIGONOMETRY . Spherical Trigonometry Defined , .. 76 General Principles , 76 ....... Formulas for Right ... Polygon , Area of a Regular Polygon ,. To find the Circumference of a Circle , ........ To find the Diameter of a ...
Page viii
... Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a ...
... Sphere ,. 136 Area of a Zone , 137 Area of a Spherical Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a ...
Page 228
... 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 is 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 is equal to the perimeter of its base multiplied by its altitude ( B. VII ...
Page 250
... 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 251
... spherical polygon and sectors of circles whose common centre is the centre of the sphere . The spherical polygon is called the base of the pyra- mid , and the centre of the sphere is called the vertex of the pyramid . 7. A POLE OF 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 pyra- mid , and the centre of the sphere is called the vertex of the pyramid . 7. A POLE OF A ...
Other editions - View all
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