## Euclidian Geometry |

### From inside the book

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**difference**of direction of its arms is greater or less . It is evident that Two straight lines cannot enclose a space . Hence it follows that Two straight lines cannot have a common segment . H A. B For if two straight lines ABC , ABH ... Page 84

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**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. = A B S D Since S is A together with B ; = .. rectangle S , A = square on A ... Page 87

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**difference**between AC and CK . .. square on AK + twice rectangle AC , CK is = squares on AC , CK . ( II . 2 ) .. squares on AK , KB + twice rectangle AC , CK = squares on AC , CK , KB . = .. square on AB + twice rectangle AC , CK ... Page 88

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**difference**of PM and PG ; = .. rectangle FG , GM is the**difference**of the squares on PM and PG , ( II . 2 ) and is ... = the**difference**of the squares on PQ and PG , and is the square on GQ , but FH is = rectangle FG , GM , for GH = GM ... Page 89

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**difference**of KG and KP , .. rectangle SG , GP is the**difference**of the squares on KG and KP , and is = • ( II . 2 ) the**difference**of the squares on KQ and KP , and is ... = the square on PQ ; ( 1. 35 ) but figure GH = rectangle SG ...### 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