## 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 which is neither a straight line , nor ...**Angles**, like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ... Page 2

... angles DCB , BCE , and the angle DCB is the difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig ...

... angles DCB , BCE , and the angle DCB is the difference between the two angles DCE , BCE . Fig . 3 . Fig . 4 . Fig ...

**right angle**, and the line AB is said to be perpendicular to CD . 11. Every angle BAC ( fig . 4 ) , less than a right ... Page 4

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**right angles**are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB , GE , GF , equal to each other ... 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 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