## Elements of Geometry |

### From inside the book

Results 1-5 of 73

Page vi

...

...

**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

...

...

**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

...

...

**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

...

...

**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 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