## Elements of Geometry and Trigonometry |

### From inside the book

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**polygon**and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a**polygon**of an infinite ... Page 182

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**polygon**. B A F E If the semicircle and semi -**polygon**be revolved about EA ...**spherical**sector is equal to the zone which forms its base , multiplied by a ...**polygon**becomes the circle , the portion OAB becomes the sector AOB ... Page 186

... polygon is a portion of the surface of a sphere terminated by several arcs of great circles . 4. A lune is that portion of the surface of a sphere , which is included between two great ... Spherical Triangles and

... polygon is a portion of the surface of a sphere terminated by several arcs of great circles . 4. A lune is that portion of the surface of a sphere , which is included between two great ... Spherical Triangles and

**Spherical Polygons**, Page 188

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**spherical polygon**is less than the circumference of a great circle . Take the pentagon ABCDE , for example . Produce the sides AB , DC , till they meet in F ; then since BC is less than BF + CF , the perimeter of the pentagon ABCDE will ... Page 204

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**spherical**pyramids are to each other as their bases and since a polygonal pyramid may always be divided into a certain number of triangular ones , it follows that any two**spherical**pyramids are to each other , as the**polygons**which form ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex