## Elements of Geometry |

### From inside the book

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Page iii

... under the title of an Introduction . The parts onitted in the first edition of this translation on spherical isoperimetrical

... under the title of an Introduction . The parts onitted in the first edition of this translation on spherical isoperimetrical

**polygons**, and on the regular poly- L513 1300 485457 234126 edrons , are inserted in this , at the end. Page vii

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**polygons**and of the meas- ure of the circle . Two lemmas are employed as the basis of this measure , which is otherwise demonstrated after the manner of Archimedes . We have then given two methods of approximation for squaring the ... Page 2

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**polygon**( fig . 6 ) , and the lines taken together make the perimeter of the**polygon**. 14. The**polygon**of three sides is the most simple of these figures , and is called a triangle ; that of four sides is called a quadrilateral ; that ... Page 3

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**polygon**is one which has all its sides equal ; an equiangular**polygon**is one which has all its angles equal . • 20. Two**polygons**are equilateral with respect to each other , when they have their sides equal , each to each , and placed ... Page 16

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**polygon**is equal to as many times two right angles as there are units in the number of sides minus two . Demonstration . Let ABCDE , & c . ( fig . 42 ) , be the proposed**polygon**; if , from the vertex of the angle A , we draw to the ver ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence