Dear solomon, :)
It would have been better if you have added the roots of the sanskrit words that you mentioned the root of the English words.
Maxmuller did the same work what you did but he didn't look into the roots of the sanskrit words. Galduwell did it. And many North Indian historians are also doing it.
When man led forest life he saw the things in earth of stationery and moving objects, named it through 'suttu oligal'. And from that base /root 'oru porut kilavikal' (same meaning words) formulated.
Then he observed objects of same size of things and numbered. They are tamil numbers name.
Then he saw celestial bodies observed and found the names of what sanskrit numbers meant. For the same celestial bodies ancient tamil words also available.
If you observe the sanskrit no.s you can find all numbers specifies certain celestial bodies moving in the distance one by one
as the sanskrit no. followed.
But on the whole the roots of the sanskrit no.s lies in the 'distance'
and equivalent words / roots of 'distance'.
Let us take one by one.
Asthami - Aththam - Aththu in tamil means 'ellai' (measured by distance). Lot of 'kilavis' of same meaning available in tamil. AththuMeeri, Aththi,Aththan,Aththai are some of them.
Navami - Avam turned navam. 'Avam' means third person which is out of I and II person. It also specifies the distance in nature.
Sapthami - Saththam - means 'tholaivu' - saththu is the root.
'Vandi saththam' is measured depending on 'tholaivu'. A sound which reaches some distance is identified depending upon its distance and so 'Saththam'.
Dasami- Thayami
Ay - Ayavu means Broad / Breadth
Ay-Thai- Thayavu - Broad minded - Thayai - Thasai an expansion of length
Thasai turned 'Das'-Dasami.
Mr.Soloman 'Root words research' is not as you specified in some other column as 'funny'.
Comtemporary meaning, Suttu oligal, Oru porul Kilavikal makes the languages meaningful and this research is followed by all historians of all times.
Simply you cannot claim this words sounds like this- That forms the root- approach.
So far Archelogical proofs also matched with the Antiquity of words and that ceritification is enough.
I can challenge you that I can give roots of all sanskrit words which are lying with tamil.
At the sametime you cannot give / find a single ancient words of tamil has root in sanskrit. If you give I can welcome it.
f.s.gandhi