## Elements of Geometry |

### From inside the book

Results 1-5 of 63

Page iii

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**forming**properly a supplement to this arithmetic , is prefixed to the work , 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 ... Page x

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**formed**by the multiplication of three equal factors ; each of these factors is the cube root of this product ; 125 is the product of 5 multiplied twice by itself , or 5 × 5 × 5 ; and 5 is the cube root of 125 . In general , A2 , being ... Page 5

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**formed**on the same side of the straight Fig . 34 . line BF , are together equal to two right angles ; for their sum is equal to that of the two angles BAM , MAF ; AM being perpen- dicular to BF . THEOREM . 32. Two straight lines , which ... Page 6

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**formed**about a point by two straight lines which cut each other , are together equal to four right angles ; for the angles ACE , BCE , taken together , are equal to two right angles ; also the other angles ACD , BCD , are together equal ... Page 24

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**formed**by two chords , as BAC . 95. An inscribed triangle is a triangle whose three angles have their vertices in the circumference of the circle , as BAC . * In common discourse , the circle is sometimes confounded with its ...### 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