## Elements of Geometry |

### From inside the book

Results 1-5 of 20

Page 6

...

...

**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 will comprehend the same space as the successive angles ... Page 7

...

...

**gles**ABC , DEF , will be equal . Indeed the triangles may be so placed , the one upon the other , that they shall coincide throughout . If , in the first place , we apply the side DE to its equal AB , the point D will fall upon A , and ... Page 17

...

...

**gles**( 67 ) , are equal ; also since the straight lines EG , FH , are perpendicular to the same straight line AB and consequently ' parallel to each other , the angles EGF , GFH , considered with reference to the parallels EG , FH ... Page 46

...

...

**gles**ABCD , AEHD , have the same altitude AD ; they are conse- quently to each other as their bases AB , AE . Likewise the two rectangles AEHD , AEGF , have the same altitude AE ; these are therefore to each other as their bases AD , AF ... Page 59

...

...

**gles**being differently situated from those represented in figure 124 ; but the equality of the respective angles may always be proved , either by means of quadrilaterals , such as AIDH , which have two right angles , or by comparing two ...### 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