## Elements of Geometry |

### From inside the book

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Page vi

... angles by the arcs of a circle . These two sections are followed by the resolution of certain problems relating to ...

... angles by the arcs of a circle . These two sections are followed by the resolution of certain problems relating to ...

**right**-**angled**triangle , those of equiangular triangles , of similar figures , & c . We shall be found fault vi Preface . Page 1

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**right**line is the shortest way from one point to another . 4. Every line ...**angle**; the point of meeting or intersection A , is the vertex of the**angle**; the ...**Angles**, like other quantities , are susceptible of addition ELEMENTS OF ... Page 2

... angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . 10. When a straight line AB ( fig . 3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is called a

... angles DCE , BCE . Fig . 3 . Fig . 4 . Fig . 5 . 10. When a straight line AB ( fig . 3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is called a

**right angle**, and ... Page 4

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**right angles**are equal . THEOREM . 28. A straight line CD ( fig . 17 ) , which meets another straight line AB , makes with it two adjacent angles ACD , BCD , which , taken together , are equal to two**right angles**. Demonstration . At ... Page 5

... angles ACE , ECD , BCD . The first of these is a

... angles ACE , ECD , BCD . The first of these is a

**right angle**, and the two others are together equal to a**right angle**; therefore the sum of the two angles ACD , BCD , is equal to two**right angles**. 29. Corollary 1. If one of the angles ...### 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