## Elements of Geometry |

### From inside the book

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**extremities**of a line are called points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line which is neither a straight line , nor composed of straight ... Page 8

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**extremities**of BC , one of its sides , the sum of these lines will be less than that of AB , AC , the two other sides . Demonstration . Let BO be produced till it meet the side AC in D ; the straight line OC is less than OD + DC ; to ... Page 12

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**extremities**of the line AB ; 2. any point without the perpendicular is at unequal dis- tances from the same**extremities**A and B. = Demonstration . 1. Since AC CB , the two oblique lines . AD , DB , are drawn to points which are at the ... Page 24

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**extremities**of this arc . 93. A straight line is said to be inscribed in a circle , when its**extremities**are in the circumference of the circle , as AB ( fig 47 ) . 94. An inscribed angle is one whose vertex is in the circum- ference ... Page 25

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**extremities**of the chord AD , we shall have the straight line AD < AC + CD ; that is , ADAB ( 88 ) . 100. Corollary . Hence the greatest straight line that can be inscribed in a circle is equal to its diameter . THEOREM . 101. A ...### 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