## Elements of Geometry |

### From inside the book

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Page vi

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**meet**those of perpendiculars , the theorem upon the sum of the angles of a triangle , the theory of parallel lines , & c . The second section , entitled the circle , treats of the most sim- ple properties of the circle , and those of ... Page 1

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**meet**, the quan- Fig . 2 . tity , whether greater or less , by which they depart from each other as to their position , is called an angle ; the point of meeting or intersection A , is the vertex of the angle ; the lines AB , AC , are ... Page 2

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**meets**another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles ...**meet**. 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which ... Page 4

... straight line CD ( fig . 17 ) , which

... 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 the point C , let CE be PART FIRST. ... Page 6

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**meet**in the same point C , the sum of all the successive an- gles , ACB , BCD , DCE , ECF , FCA , will be equal to four right angles . For , if at the point C , four right angles be formed by two lines perpendicular to each other , they ...### 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