## Euclidian Geometry |

### From inside the book

Results 1-5 of 81

Page vii

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**Problems**, though kept distinct from Theorems , should nevertheless occupy the attention of the beginner as soon as possible , and also that the necessity of his having to wade through a long book of Theorems only should be avoided ... Page 10

... . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line .

... . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line .

**PROBLEM**A. Describe an equilateral triangle upon a given straight IO STRAIGHT LINES , ANGLES AND TRIANGLES . Page 11

... . A is the centre of the · B is the centre of the ACE , .. AC is BC ; .. ABC is an equilateral triangle , and it has been described upon AB . Q. E. F.

... . A is the centre of the · B is the centre of the ACE , .. AC is BC ; .. ABC is an equilateral triangle , and it has been described upon AB . Q. E. F.

**PROBLEM**B. To bisect a given angle . E Let STRAIGHT LINĖS , ANGLES AND TRIANGLES . I I. Page 12

... .. 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.

... .. 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 ... Page 13

... BCE ; ... AS ACE , BCE are equal in all respects , and .. AE is = BE ; ( 1. 1 ) ... . AB has been bisected in E. Q. E. F. RIGHT ANGLES . DEFINITION . When one straight line , STRAIGHT LINES , ANGLES AND TRIANGLES . 13

... BCE ; ... AS ACE , BCE are equal in all respects , and .. AE is = BE ; ( 1. 1 ) ... . AB has been bisected in E. Q. E. F. RIGHT ANGLES . DEFINITION . When one straight line , STRAIGHT LINES , ANGLES AND TRIANGLES . 13

**PROBLEM**C. ...### 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