## Elements of Geometry |

### From inside the book

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Page vi

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**tangents**, and of the measure of angles by the arcs of a circle . These two sections are followed by the resolution of certain problems relating to the construction of figures . The third section , entitled the proportions of figures ... Page 25

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**tangent**is a line , which has only one point in common with the circumference , as CD . The common point M is called the point of contact . Fig . 48 60 Also two circumferences are**tangents**to each other ( fig . 59 , 60 ) , Fig.59 . when ... Page 29

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**tangent**( 97 ) . 111. Scholium . We can draw through a given point A only one**tangent**AD to the circumference ; for , if we could draw another , it would not be a perpendicular to the radius CA , and , with respect to this new**tangent**... Page 30

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**tangent**DE ( 110 ) , and also to its parallel MP . But , since CH is perpendic- ular to the chord MP , the point H ...**tangents**, the one at H and the other at K , draw the parallel secant AB , and we shall have , according to what has ... Page 31

... and have only the point A common . And if , through the point A , we draw AE perpendicular to CD , the straight line AE will be a

... and have only the point A common . And if , through the point A , we draw AE perpendicular to CD , the straight line AE will be a

**tangent**common to all these circles . THEOREM . 119. In the same circle , or in Of the Circle . 31.### 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