A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page 51
... distance between the parls . If they are not par1 . let them be OX , OY ; at O draw OA , OB equal to given radius and perp . to OX , OY respectively . Through A and B draw AP , BP parl . to OX , OY respectively ; then P is the centre of ...
... distance between the parls . If they are not par1 . let them be OX , OY ; at O draw OA , OB equal to given radius and perp . to OX , OY respectively . Through A and B draw AP , BP parl . to OX , OY respectively ; then P is the centre of ...
Page 53
... distance from it equal to the given radius cut the ' centre ' line in Then O is the required centre . Two solutions . O. SO 20. Describe a concentric with the given O , having its radius equal to the sum or difference of the radii of ...
... distance from it equal to the given radius cut the ' centre ' line in Then O is the required centre . Two solutions . O. SO 20. Describe a concentric with the given O , having its radius equal to the sum or difference of the radii of ...
Page 59
... distance from it equal to the given altitude ; ( iii ) The circle whose centre is the middle pt . of the base and radius equal to the given median ; ( iv ) The perp . to the base drawn through the given point . 3. Because arc AP : = arc ...
... distance from it equal to the given altitude ; ( iii ) The circle whose centre is the middle pt . of the base and radius equal to the given median ; ( iv ) The perp . to the base drawn through the given point . 3. Because arc AP : = arc ...
Page 62
... distance than the radius . 6. Since the ext . QAB of the quadrilateral APCB [ see fig . p . 214 ] is equal to the int . and opp . PCB , .. when P coincides with A and AP becomes the tangent at A , the ext . made by the tangent with AB ...
... distance than the radius . 6. Since the ext . QAB of the quadrilateral APCB [ see fig . p . 214 ] is equal to the int . and opp . PCB , .. when P coincides with A and AP becomes the tangent at A , the ext . made by the tangent with AB ...
Page 67
... distances from the centre of the given [ III . 18 and 14 ] . If A is without the O , X must be not greater than the diameter . If A is within the O , X must be not greater than the diameter , and not less than the chord drawn through A ...
... distances from the centre of the given [ III . 18 and 14 ] . If A is without the O , X must be not greater than the diameter . If A is within the O , X must be not greater than the diameter , and not less than the chord drawn through A ...
Other editions - View all
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H S 1848-1934 Hall No preview available - 2018 |
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H. S. Hall No preview available - 2017 |
Common terms and phrases
A. W. VERRALL AABC AB² ABCD AC² angles Assistant Master AX² BC² bisector bisects Cambridge centre chord circle circum College concyclic constant describe diam diameter diff draw ELEMENTARY equiangular equilat FASNACHT Fcap fixed point G. E. FASNACHT given base given point given ratio given st GREEK Hence identically equal inscribed intersect Introduction and Notes ISAAC TODHUNTER isosceles Join Let ABC LL.D locus M.A. BOOK meet middle point middle pt orthocentre Owens College par¹ parm pedal triangle perp plane produced Prof Professor Radical Axis radius equal rect respectively segment shewn sides Similarly sum of sqq tangent touch Translated triangle Trinity College vert vols
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