Sonnet 14 that Shakespeare's early comedy included a line stating "From women's eyes this doctrine I derive." In the context of Sonnet 14 it is explaining the important of procreation, and that it is necessary. Ovid's "Amores" has a similar line "at mihe te comitem auroras usque futuram- per me perque oculos, siders rostra, tuos." Both Samuel Johnson and George Steevens noted the similar meaning and that it indicates Roman influence on Shakespeare's poetry. Lines 10-11 are saying that one can see that truth and beauty would thrive together; if only you would focus on the business of making provisions for yourself.
Sonnet 118 beginning with the third quatrain. Traditionally the administering of emetics, the trope worked in Sonnet 118, had three purposes: to renew the palate, to forestall the onset of sickness, and to counteract poison. The sonnet also picks up the motif of "palate", "cup", and "poison", left off at the end of Sonnet 114. The first pair of lines describes how "we our pallat urge"; "urge" means to 'intensify' or 'sharpen' the taste, but the word was used also of distillations which are 'urged' to a degree that a compound is yielded. "Appetites" are sharpened or made more acute ("more keen")