## Elements of Geometry |

### From inside the book

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**semicircumference**; if they were greater , the contrary would be true ; in this case , as the arc increases , the ...**circumference**of only one**circle**Of the**Circle**. 27. Page 35

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**half**of the same arc BOC . 128. Corollary II . Every angle BAD ( fig . 67 ) , inscribed in Fig . 67 . a**semicircle**, is a right angle ; for it has for its measure the**half**of the**semicircumference**BOD , or the fourth of the circumfer ... Page 36

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**half**of the arc BOC less than a semicir- cumference . And every angle BOC , inscribed in a segment less than a**semicircle**, is an obtuse angle ; for it has for its measure the**half**of the arc BAC greater than a**semicircumference**. 130 ... Page 73

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**semicircumference**DGF ; at the point E erect upon the diame- ter the perpendicular EG meeting the**circumference**in G ; EG will be the mean proportional sought . For the perpendicular GE , let fall from the point in the cir- cumference ... Page 97

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**circle**is equal to the product of the**semicircumference**by the radius , the radius being 1 , the**semi- circumference**will be 3,1415926 ; or , the diameter being 1 , the**circumference**will be 3,1415926 ; therefore the ratio of the ...### 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