## Elements of Geometry |

### From inside the book

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**circumference**is called a radius or semi- diameter , and every straight line , as AB , which passes through the centre and is terminated each way by the**circumference**, is called a diameter . By the definition of a circle the radii are ... Page 23

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**circumference**, as CD . The common point M is called the point of contact . Fig . 48 . Also two**circumferences**are tangents to each other ( fig . 59 , 60 ) , Fig . 59 , when they have only one point common . A polygon is said to be ... Page 24

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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 25

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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 . Geom . 4 straight line , but the**circumference**of only one circle Of the Circle . 25. Page 26

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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 BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence