## Euclidian Geometry |

### From inside the book

Results 1-5 of 21

Page xvi

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**double**of equal things are equal to one another . Things which are halves of equal things are equal to one another . Equimultiples of equal things are equal . Things , of which the equimultiples are equal , are themselves equal . If one ... Page 52

... the ABCD . = W B If the sides opposite the base terminate in the same point D , then each of the □ s is

... the ABCD . = W B If the sides opposite the base terminate in the same point D , then each of the □ s is

**double**of the △ DBC ; ( 1. 26 ) .. □ ABCD is = DBCF . DEFINITIONS . The greatest perpendicular which can be let fall ( 52 ) Page 54

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**double**of △ ABX , ( 1. 26 ) also DX is a and is ..**double**of △ ACX , ( 1. 26 ) .. □ EC is**double**of a ABC . Δ COR . A triangle is half of the rectangle on the same base and between the same parallels . i.e. a triangle is half the ... Page 57

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**double**of the △ RPH , because they are on the same base and between the same parallels . ( 1.32 ) Also . FRP and QRP are rights ; .. FRQ is a straight line ( 1. 10 ) , and it is || to SP . : . SPRF is**double**of the △ SPQ , = ( I. 32 ) ... Page 59

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**double**of the △ FRH ; also the SH is**double**of △ FRH , . they are upon the same base and between the same parallels . ( I. 32 ) ..SH is the given angle K. AFGH , and it has an SRH equal to PROBLEM M. To a given straight line apply a ...### 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