## Euclidian Geometry |

### From inside the book

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Page vi

... lines in the same plane which never meet . This is of great consequence , as the leading idea in ...

... lines in the same plane which never meet . This is of great consequence , as the leading idea in ...

**given**possesses the combined advantages of being rigorous , geo- metrical ...**a line**divided in various ways , available for vi PREFACE . Page 10

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

... straight lines radii . 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 ... Page 11

Francis Cuthbertson (M.A.). PROBLEM A. Describe an equilateral triangle upon a

Francis Cuthbertson (M.A.). PROBLEM A. Describe an equilateral triangle upon a

**given straight line**. D B F Let AB be the**given straight line**. It is required to describe an equilateral triangle upon AB . With A as centre , and radius AB ... 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. PROBLEM C. To bisect a

... .. 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

Francis Cuthbertson (M.A.). PROBLEM C. To bisect a

Francis Cuthbertson (M.A.). PROBLEM C. To bisect a

**given straight line**. Let AB be the**given straight line**. It is required to bisect it . With centres A and B describe two circles having equal radii intersecting in C , D. Join CD ...### 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