Geometry lectures
... Definition 3.7. The perpendicular bisector of a segment [BC] is the line perpendicular on [BC] and passing through its midpoint. MO such that M is the midpoint of BC and MO ⊥ BC. Construction of the perpendicular bisector. Draw two circles centered at B and C respectively, and of the same radius, wh ...
... Definition 3.7. The perpendicular bisector of a segment [BC] is the line perpendicular on [BC] and passing through its midpoint. MO such that M is the midpoint of BC and MO ⊥ BC. Construction of the perpendicular bisector. Draw two circles centered at B and C respectively, and of the same radius, wh ...
19 Advanced Euclidean Triangle Geometry
... By Euclid VI.5, the two triangles are equiangular, too. (One can independently get these two statements from Double SAS, Proposition 8.4) Via congruent z-angles, one concludes that the two segments OM and EC are parallel. Because OM is perpendicular to the side AB, the parallel segment EC is perpend ...
... By Euclid VI.5, the two triangles are equiangular, too. (One can independently get these two statements from Double SAS, Proposition 8.4) Via congruent z-angles, one concludes that the two segments OM and EC are parallel. Because OM is perpendicular to the side AB, the parallel segment EC is perpend ...
