Euclidian Geometry |
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Side vi
... opposite sides will never meet however far they may be produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only ...
... opposite sides will never meet however far they may be produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only ...
Side viii
... opposite pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the book , have been in- troduced when required . The great objection entertained by those in authority at the Universities towards modern ...
... opposite pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the book , have been in- troduced when required . The great objection entertained by those in authority at the Universities towards modern ...
Side 7
... opposite to those angles are equal . B Let ABC be a triangle , having the ABC- the then shall the side AC be = ACB , the side AB . For if the ABC be taken up , reversed , and applied to the former position of BC and on the same side of ...
... opposite to those angles are equal . B Let ABC be a triangle , having the ABC- the then shall the side AC be = ACB , the side AB . For if the ABC be taken up , reversed , and applied to the former position of BC and on the same side of ...
Side 8
... opposite side of EF to that on which D is , as H. Join HD .. ( i ) If HD cuts EF . Ꭺ D B E ·· EH is = ED , : . LEHD is = LEDH ; ( 1. 2 ) and FH is = FD , .. the whole .. EHF is the whole △ EDF , L FHD is = L FDH ; ( I. 2 ) and ... BAC ...
... opposite side of EF to that on which D is , as H. Join HD .. ( i ) If HD cuts EF . Ꭺ D B E ·· EH is = ED , : . LEHD is = LEDH ; ( 1. 2 ) and FH is = FD , .. the whole .. EHF is the whole △ EDF , L FHD is = L FDH ; ( I. 2 ) and ... BAC ...
Side 14
... opposite angles shall be equal . H B A K Let two intersecting straight lines form the four angles A , B , H , K. Then shall the opposite angles A , B be one another . = For if the figure were taken up , reversed , and placed so that ...
... opposite angles shall be equal . H B A K Let two intersecting straight lines form the four angles A , B , H , K. Then shall the opposite angles A , B be one another . = For if the figure were taken up , reversed , and placed so that ...
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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 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 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