## Euclidian Geometry |

### From inside the book

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**Hence**it follows that Two straight lines cannot have a common segment . H A. B For if two straight lines ABC , ABH could have a com .. mon segment AB ; then the straight line ABC might be turned about its extremity A , towards the side ... Page 3

Francis Cuthbertson (M.A.).

Francis Cuthbertson (M.A.).

**Hence**it follows that If two straight lines pass through the same point they will coincide entirely or cut one another . For if not , if possible let them fall otherwise as AOB , POQ ...**Hence**it follows that ... Page 4

... △ ABC will coincide with and is ... = △ DEF , LABC will coincide with and is .. = △ DEF ; LACB is LDFE .

... △ ABC will coincide with and is ... = △ DEF , LABC will coincide with and is .. = △ DEF ; LACB is LDFE .

**Hence**the As ABC , DEF are equal in all respects . DEFINITION . An isosceles triangle is one which has two ( 4 ) Page 13

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**Hence**in the As ACE , BCE , ( 1.5 ) AC , CE and the included △ ACE are respectively = BC , CE and the included 4 BCE ; ..AS ACE , BCE are equal in all respects , and .. AE is = BE ; ( 1. 1 ) . .. AB has been bisected in E. Q. E. F. ... Page 21

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**Hence**in the AS AQR , FQR , AQ , QR and AQR are respectively equal to FQ , QR , and FQR ; .. LARQ = L FRQ . = ( I. I ) .. if ARQ were a right angle , the LS ARQ , FRQ would be together two right angles , and ... ARF would be a straight ...### 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