## Elements of Geometry |

### From inside the book

Results 1-5 of 38

Page 46

...

...

**faces**, the rectangle B will have for its absolute measure 4 , that is , it will be equal to 34 superficial units . 8 square as The more common and simple method is to take the the unit of surface ; and that square has been preferred ... Page 117

...

...

**faces**would , by being produced , cut the solid angle ; if it were other- wise , the sum of the plane angles would no longer be limited , and might be of any magnitude whatever . THEOREM . 359. If two solid angles are respectively ... Page 123

...

...

**faces**of a poly- edron is called a side or edge of the polyedron . 367. A regular polyedron is one , all whose**faces**are equal regular polygons , and all whose solid angles are equal to each other . There are five polyedrons of this ... Page 124

...

...

**faces**parallelograms , and is called a parallelopiped . A parallelopiped is rectangular , when all its**faces**are rect- angles . 374. Among rectangular parallelopipeds is distinguished the cube or regular hexaedron comprehended under six ... Page 125

...

...

**face**or base of a polyedron , we can imagine the vertices of the different solid angles of the polye- drons ...**faces**and in part below it ; it is wholly on one side of this plane . THEOREM . 384. Two polyedrons cannot have the ...### 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