## Euclidian Geometry |

### From inside the book

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Page vii

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**polygons**. In the Fourth Book the areas and perimeters of regular**polygons**inscribed in and circumscribed about a circle have been discussed , and the groundwork laid for a comparison not only of the areas but also of the circumferences ... Page 44

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**polygons**, by more than four straight lines . A parallelogram is a four - sided figure , of which the opposite sides are parallel . The straight line joining the opposite angles of a quad- rilateral figure is called a diagonal ... Page 47

... its adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , “ rect . ( a , b ) . ” PROPOSITION XXX . If the sides of a

... its adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , “ rect . ( a , b ) . ” PROPOSITION XXX . If the sides of a

**polygon**be QUADRILATERALS AND MULTILATERALS . Page 48

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**polygon**NOPQRS be produced in order . Then shall the exterior angles be together = 4 right △ s . Through any point K draw Ku , Kv , Kw , & c . || to OU , PV , QW , & c . Then the exterior s UOV , VPW , WQX , & c . of the**polygon**are ... Page 49

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**polygon**together with the ex- terior UOV makes up two right 4 s . ( 1.9 ) Hence all the interiors of the**polygon**together with the adjacent exterior 4 s are equal to twice as many right 4s as the figure has sides ; but all the exterior ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole