## Euclidian Geometry |

### From inside the book

Results 1-5 of 22

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

... adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " 1 PROPOSITION XXX . If the sides of a

... adjacent sides respectively = a , b will be spoken of as the " rectangle contained by ( a , b ) , " which will be written thus , " rect . ( a , b ) . " 1 PROPOSITION XXX . If the sides of a

**polygon**QUADRILATERALS AND MULTILATERALS . 47. Page 48

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**polygon**NOPQRS be produced in order . Then shall the exterior angles be together = 4 right 4 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 △ 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 ...### Other editions - View all

### Common terms and phrases

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex