## Elements of Geometry |

### From inside the book

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Page vi

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**less**advantageous to carry on the study of these two sciences together , and to intermix them as much as possible . According as we advance in geometry , we find it necessary to combine together a greater number of relations , and ... Page ix

... 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

... 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 xi

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**less**than it was in the first consequent ; the new ratio will be equal to the primitive ratio diminished by unity . If the same operation be performed upon the two ratios of a proportion , there will result from it two new ratios equal ... Page 1

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**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 simply by ... Page 2

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**less**than a right angle , is an acute angle ; and every angle , DEF , 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 ...### 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