## Elements of Geometry |

### From inside the book

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**circumference**of a circle is a curved line all the points of which are equally distant from a point within called ...**circumference**, is called a radius or semi- diameter , and every straight line , as AB , which passes through the ... Page 25

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**circumference**in two points , as AB ( fig . 48 ) . 97. A tangent is a line , which has only one point in common with the**circumference**, as CD . Fig . 48 . The common point Mis called the point of contact . Also two**circumferences**... Page 26

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**circumference**, the greater arc is subtended by the greater chord ; and , conversely , the greater chord is subtended by the greater arc . Demonstration . Let the arc AH ( fig . 50 ) be greater than AD , and let the chords AD and AH ... Page 27

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**circumference**of a circle may be made to pass through any three points , A , B , C ( fig . 52 ) , which are not in the same Fig . 52 . straight line , but the**circumference**of only one circle Of the Circle . 27. Page 28

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**circumference**, described from the centre O with the radius OB , will pass through the three points A , B , C. It is thus proved , that the**circumference**of a circle may be made to pass through any three given points , which are not in ...### 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 convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent 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 pyramid S-ABC 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