## Elements of Geometry |

### From inside the book

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... ( fig . 14 ) , which has its sides equal without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 18. A diagonal is a line which joins the

... ( fig . 14 ) , which has its sides equal without having its angles right angles ; The trapezoid ( fig . 15 ) , which has two only of its sides parallel . 18. A diagonal is a line which joins the

**vertices**2 Elements of Geometry . Page 3

Adrien Marie Legendre. 18. A diagonal is a line which joins the

Adrien Marie Legendre. 18. A diagonal is a line which joins the

**vertices**of two angles not adjacent , as AC ( fig . 42 ) . 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon is one which has all its ... Page 22

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**vertices**in the circumference of the circle , as BAC . * In common discourse the circle is sometimes confounded with its circumference ; but it will always be easy to preserve the exactness of these expressions by recollecting that the ... Page 23

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**vertices**in the circumference of the circle . case , the circle is said to be circumscribed about the figure . 96. A secant is a line , which meets the circumference in two points , as AB ( fig . 48 ) . 97. A tangent is a line which has ... Page 30

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**vertices**of which are at the centre , intercept upon the circumference equal arcs AB , DE . Reciprocally , if the arcs AB , DE , are equal , the angles ACB , DCE , also will be equal . Demonstration . 1. If the angle ACB is equal to the ...### 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