## Elements of Geometry |

### From inside the book

Results 1-5 of 18

Page vi

...

...

**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 23

...

...

**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 . Also two circumferences are**tangents**to each other ( fig . 59 , 60 ) , Fig . 59 , when ... Page 27

...

...

**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**the ... Page 28

...

...

**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 29

... other , 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

... other , 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 . 29.### 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