Elements of Geometry |
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Page 2
... ( 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 .
... ( 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 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 ...
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
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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 ...
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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