## Euclidian Geometry |

### From inside the book

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Page vi

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**opposite**sides will never meet however far they may be produced in either direction , but rather that of a figure whose**opposite**sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only ... Page viii

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**opposite**pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the book , have been in- troduced when required . The great objection entertained by those in authority at the Universities towards modern ... Page 7

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**opposite**to those angles are equal . B Let ABC be a triangle , having the ABC = the ACB , = the side AB . then shall the side AC be For if the ABC be taken up , reversed , and applied . to the former position of BC and on the same side ... Page 8

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**opposite**side of EF to that on which D is , as H. Join HD .. ( i ) If HD cuts EF . A B E H · EH is = ED , .. LEHD is LEDH ; ( I. 2 ) ( I. 2 ) and . FH is = FD , : . ¿ FHD is = [ FDH ; EHF is the whole △ EDF , ..the whole and .. BAC is ... Page 14

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**opposite**angles shall be equal . H A B K Let two intersecting straight lines form the four angles A , B , H , K. Then shall the**opposite**angles A , B be one another . = For if the figure were taken up , reversed , and placed so that ...### 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