## Elements of Geometry |

### From inside the book

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**greater**number of relations , and algebra may be of great service in conducting us to our conclusions by the readiest and most easy method . This work is divided into eight sections , four of which treat of plane geometry , and four of ... Page vii

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**greater**than any rectilineal figure of the same perimeter . The first section of the second part contains the properties of planes and of solid angles . This part is very necessary for the understanding of solids and of figures in which ... Page ix

... is equal to that represented by B , or A equal to B. A B signifies that the magnitude represented by A exceeds that represented by B , or A

... is equal to that represented by B , or A equal to B. A B signifies that the magnitude represented by A exceeds that represented by B , or A

**greater**than B. AB signifies A less than B. Geom . b 2A , 3A , & c . , indicate double. Page 1

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**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 its sides . An angle is sometimes denoted ... Page 2

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**greater**than a right angle is an obtuse angle . 12. Two lines are said to be parallel ( fig . 5 ) , when , being situated in the same plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated ...### 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