## Euclidian Geometry |

### From inside the book

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Page vi

... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a line

... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a line

**divided**in various ways , available for vi PREFACE . Page vii

Francis Cuthbertson. of a line

Francis Cuthbertson. of a line

**divided**in various ways , available for the extensive development of this part of Geometry of which it is capable , Euclid's second and eight following propositions should be shewn to be deducible from the ... Page 50

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**divided**into five equal parts . Draw DM , EK || to AB . Then the 4s of a DME are = the 2 s of △ AXD ; ( 1. 31 ) and DE is = AD . . ' . .. DMAX ( I. 3 ) ; .. XY = AX . Similarly YZ , & c . are each = AX , and ... AB is**divided**into five ... Page 72

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**divided**into two equal parts in C , and into two unequal parts in D ; then shall the squares on AD , DH be = twice the squares on AC , CD . K D H We shall first describe a square = AC ; join AF . AC , CD . ***** twice the squares on ... Page 82

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**divided**into any number of parts , the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the**divided**line . A R T Q ( Ꮋ Ꮶ Let A and BC be two straight ...### 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