## Euclidian Geometry |

### From inside the book

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**twice**as many right 4s as the figure has sides ; but all the exterior 4 s are = 4 right 4 s ; ... all the interiors of the polygon together with four rights are**twice**as many rights as the figures has sides . C. G. 4 PROBLEM H. To ... Page 72

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**twice**the squares on AC , CD . Draw CF and = AC ; join AF . Then ACF is a right - angled isosceles △ , and square on AF**twice**the square on AC . = · ( I. 35 ) Join FH ; draw DK || to CF ; KG || to AH ; join AK . Then it may be easily ... Page 73

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**twice**the squares on AC , CK . For the squares on AD , DH =**twice**the squares on AC , CD ; .. the squares on AD , DH and**twice**the square on DK : =**twice**the square on AC and**twice**the squares on CD , DK ; i.e. the squares on AK , KH ... Page 84

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**twice**the rect- angle A , B. Also , if A and B be unequal and D be their difference , the rectangle S , D is the difference between the squares on A , B ; and the square on D is < the squares on A and B by**twice**the rectangle A , B ... Page 85

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**twice**rectangle A , B = =**twice**squares on A , B +**twice**rectangle A , B ; .. squares on S , D =**twice**squares on A , B. Also that square on S = squares on A , B +**twice**rectangle A , B , and ... = square on D + four times rectangle 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