## Euclidian Geometry |

### From inside the book

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Page v

... as those which are made to depend upon it . To avoid this difficulty a Lemma has been introduced which , while it rests on an axiomatic basis , brings out the property of the parallelism ( or in

... as those which are made to depend upon it . To avoid this difficulty a Lemma has been introduced which , while it rests on an axiomatic basis , brings out the property of the parallelism ( or in

**common**language equidistance ) Page vi

Francis Cuthbertson (M.A.). of the parallelism ( or in

Francis Cuthbertson (M.A.). of the parallelism ( or in

**common**language equidistance ) of straight lines in the same plane which never meet . This is of great consequence , as the leading idea in connection with straight lines called ... Page 2

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**common**segment . H Α . B For if two straight lines ABC , ABH could have a com .. mon segment AB ; then the straight line ABC might be turned about its extremity A , towards the side on which BH is , so as to cut BH ; and thus two ... Page 3

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**common**point O. P A Q B Then AOB might be turned about one extremity A towards the side on which OQ is , so as to cut OQ and also ОР . Thus two straight lines would enclose a space , which is impossible . It is evident that Magnitudes ... Page 12

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**common**; .. the As ABF , ACF are equal in all respects , and ..the BAF is the CAF , = ... DAE has been bisected by AF . ( I. 5 ) Q. E. F. PROBLEM C. To bisect a given straight line . Let 12 STRAIGHT LINES , ANGLES AND TRIANGLES . E ...### 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 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 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