## Euclidian Geometry |

### From inside the book

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**diameter**of any parallelogram , are equal to one another . N К G Let FGHK be a , and GK one of its diagonals , and SR , PNs about the diagonal . Then FQ , QH , the remainings , which are called complements , shall be equal to one ... Page 100

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**diameter**. PROPOSITION V. The**diameter**is the greatest chord of a circle , and of all others that nearer to the centre is greater than the more remote . G T K Let ACB be a**diameter**of the AGB , HK , FG chords of which HK is nearer to ... Page 118

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**diameter**, and AP a chord dividing the APB into 1 the segments ABP , AQP . circle APB be a right ; Then shall the in the semi- " the in the segment ABP greater than a semicircle < a right △ ; B and the in the segment AQP less than a ... Page 119

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**diameter**AD ; join DF . Then △ AFD is a right angle ; T ( III . 16 ) and . ' . = ¿ DAT ; ( III . 2 ) .. Ls FDA , FAD are together = a right ≤ ; i.e. S ' FAT , FAD together . Take away the common △ FAD . .. L FDA = L FAT ; but = AQF ... Page 126

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**diameter**AB . Then AB shall bisect the Oce . For the may be taken up , inverted and applied to its former position , so that AB may fall upon its former position . Then will AGB fall upon AFB ; ... arc AGB = arc AFB . COR . To divide ...### 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