Thread: Hey, quick question on Eulers straight line proof using vectors.

i dont get the bit where it refers to "1.1". not sure what theory they are referring to. i get the rest. i dont have access to the rest of the textbook

if theres a nice place where i can get access to proofs that H, G, O are in ratio of 2:1, and that they lie on the same straight line using BOTH euclidian geometry and vectors..that would be appreciated.

also , how do i show that H, G, O lie on the line, IN THAT PARTICULAR ORDER?

Thanks everybody

the circumcenter O, centroid G and orthocenter H

The text you quote from is located on the internet here: http://mathdb.org/notes_download/ele...etry/ge_G2.pdf
Theorem 1.1 is in the previous chapter, located here: http://mathdb.org/notes_download/ele...etry/ge_G1.pdf

Also, look at: http://www2.washjeff.edu/users/mwolt.../Dorrie/27.pdf

Hope this helps.