姿を見せる => figure; appearance N3
Ability
...を...みる => judging from; seeing that ~ N4
Deduce
...を...にする => to make something ~ N4
Purpose, target
を…とする => is considered, is regarded as N2
Consider it
...が...を...みせる => make it look like... N4
Base, base
をはじめ/をはじめとする => For example, A N2
Lists, Examples
... ところをみると => judging from; seeing that ~ N3
Speculation
ふりをする => to pretend; to act as if ~ N3
~たると ... たるとをとわず => regardless of; irrespective of; no matter~ N1
Simultaneously
ふりをする => To pretend to (be) A N3
Adjectival, Description
~をたて(~を経て)      => through; after; via N1
ざるを得ない => cannot help (doing); have no choice but to ~ N2