Euclidian Geometry |
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Page 72
... squares on AC , CD . K D H We shall first describe a square = AC ; join AF . AC , CD . ***** twice the squares on Draw CFL and Then ACF is a right - angled isosceles △ , and square on AF twice the square on AC . ( I. 35 ) Join FH ...
... squares on AC , CD . K D H We shall first describe a square = AC ; join AF . AC , CD . ***** twice the squares on Draw CFL and Then ACF is a right - angled isosceles △ , and square on AF twice the square on AC . ( I. 35 ) Join FH ...
Page 73
... squares on AK , KH = twice the squares on AC , CK . For the squares on AD , DH = twice the squares on AC , CD ; .. the squares on AD , DH and twice the square on DK = twice the square on AC and twice the squares on CD , DK ; i.e. the ...
... squares on AK , KH = twice the squares on AC , CK . For the squares on AD , DH = twice the squares on AC , CD ; .. the squares on AD , DH and twice the square on DK = twice the square on AC and twice the squares on CD , DK ; i.e. the ...
Page 81
... AC , CB describe squares XC , YC . Then ACE , BCD are straight lines equal and to one another . Complete the square ... squares on AC , CB + four as each equal to △ ABC square XY ; ... square on AB = squares on AC , CB . C. G. 6 BOOK II ...
... AC , CB describe squares XC , YC . Then ACE , BCD are straight lines equal and to one another . Complete the square ... squares on AC , CB + four as each equal to △ ABC square XY ; ... square on AB = squares on AC , CB . C. G. 6 BOOK II ...
Page 86
... AC produced . Then shall the square on AB be > the squares on AC , CB by twice the rectangle AC , CK . For AK is the sum of AC and CK ; = .. square on AK is = squares on AC , CK + twice rectangle AC , CK ; ( 11.2 ) .. squares on AK , KB are ...
... AC produced . Then shall the square on AB be > the squares on AC , CB by twice the rectangle AC , CK . For AK is the sum of AC and CK ; = .. square on AK is = squares on AC , CK + twice rectangle AC , CK ; ( 11.2 ) .. squares on AK , KB are ...
Page 87
... square on AB be < the squares on AC , CB by twice the rectangle AC , CK . For should the fall within or without the △ ABC , in either case AK is the difference between AC and CK . = .. square on AK + twice rectangle AC , CK is = squares on ...
... square on AB be < the squares on AC , CB by twice the rectangle AC , CK . For should the fall within or without the △ ABC , in either case AK is the difference between AC and CK . = .. square on AK + twice rectangle AC , CK is = squares on ...
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Common terms and phrases
Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex