## 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 (M.A.). of a line

Francis Cuthbertson (M.A.). 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 ... Page 50

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**divided**into five equal parts . Draw DM , EK || to AB . Then the 4s of △ DME are the 4 s of △ AXD ; ( 1.31 ) and DE is = AD . .. DM = AX ( 1. 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 and also two unequal parts , the squares on the unequal parts shall together be twice the squares on half the line and on the line between the points of section . = Let AH be**divided**into two equal parts in ... 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 B га H K Let A and BC be two straight lines ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole