## Euclidian Geometry |

### From inside the book

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Page 10

... . $ It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . 1 PROBLEM A.

... . $ It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . 1 PROBLEM A.

**Describe**an equilateral triangle upon a given straight IO STRAIGHT LINES , ANGLES AND TRIANGLES . Page 11

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**describe**an equilateral triangle upon AB . With A as centre , and radius AB ,**describe**the circle BCD , and with B as centre and radius BA**describe**the circle ACE . Let these circles intersect in C ; join CA , CB . Then ABC shall be the ... Page 12

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**describe**a circle cutting AD , AE in the points B and C. With centres B and C**describe**equal circles cutting one another in F Join AF ; then 4 DAE shall be bisected by AF . L Join BF , CF. Then in the As ABF , ACF , BA is CA , BF = CF ... Page 13

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**describe**two circles having equal radii intersecting in C , D. Join CD cutting AB in E ; then AB shall be bisected in E. Join AC , CB , BD , DA . Then in the As ACD , BCD , and AC , CD , DA are respectively = BC , CD , DB , ..AS ACD ... Page 16

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**describe**equal Os intersect- ing in F. Join AF Then AF shall be 1 to BC . Join DF , EF . · DA is = EA , DF = EF , and AF common to the two AS DAF , EAF , .. these as are equal in all respects ; .. L DAF is = LEAF , .. AF is to BC . ( I ...### 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