Proposition. The midpoints M, N, and P of the
diagonals AC, BD, and EF of a complete quadrilateral ABCDEF lie
on a line called Newton-Gauss Line.
red button ()
on the figure to start the animation.
Drag points A, B, C, D, and F to change
the figure. Try the step by step
Complete quadrilateral ABCDEF is the figure determined by
four lines, no three of which are concurrent, and their six
points of intersection A, B, C, D, E, and F.
Midpoint of a segment: the point on a line segment
dividing it into two segments of equal length.
Dynamic Geometry: You can alter the figure
dynamically in order to test and prove (or disproved)
conjectures and gain mathematical insight that is less
readily available with static drawings by hand.
This page uses the
dynamic geometry software and requires
Adobe Flash player 7 or higher.
TracenPoche is a project of Sesamath, an association of French
teachers of mathematics.
Instruction to explore the
Animation. Click the red
to start/stop animation
Manipulate. Drag points A
and C, and line AC to change the figure.
Press P and click the left mouse
on any free area to show the
step-by-step bar and click 'Next
Step' button ()
to start the construction step-by-step:
Hide the step-by-step bar by
using again the combination P +
click left mouse.