## Euclidian Geometry |

### From inside the book

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Page 16

Francis Cuthbertson (M.A.). PROPOSITION VII . It is always possible to

Francis Cuthbertson (M.A.). PROPOSITION VII . It is always possible to

**draw**a straight line perpendicular to a given ...**drawn**1 BC . From AB , AC cut off equal parts AD , AE . With D and E as centres , describe equal Os intersect- ing in ... Page 17

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**drawn**more than one straight line perpendicular to it . FG- For if possible B let AF and AG be each of them 1 to BC . .. Ls FAB , FAC are equal to one another , and also 4 s GAB , GAC are equal to one another , which is impossible ... Page 18

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**draw**BE1 to CD ; then the ABC is the 4 s CBE and EBA together ; .. the LS ABC and ABD are together = the 4s CBE ...**drawn**from one 18 RIGHT ANGLES . Page 19

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**drawn**from B one extremity of AB make the adjacent s ABC , ABD together = two right angles , Then shall BD be in the same straight line with BC . For if not , if possible , let BE be in the ...**draw**a 2-2 RIGHT ANGLES . 19 PROPOSITION X. ... Page 20

Francis Cuthbertson (M.A.). PROPOSITION XI . It is always possible to

Francis Cuthbertson (M.A.). PROPOSITION XI . It is always possible to

**draw**a perpendicular to a given straight line ...**drawn**1 to BC . With centre A describe a O cutting BC in D and E. With centres D and E describe equal os intersecting ...### 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