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inside outwards
4. In adverbial phrase inside out 
/ˌɪnsaɪd ˈaʊt/, formerly also inside outwards (usually with the verb turn): So that the inner side becomes the outer; so as to expose the inside or interior. Also figurative, esp. to know (something) inside out: to know (it) extremely well.The text cited in quot. ?a1600 is almost certainly a forgery by J. P. Collier.
/ˌɪnsaɪd ˈaʊt/, formerly also inside outwards (usually with the verb turn): So that the inner side becomes the outer; so as to expose the inside or interior. Also figurative, esp. to know (something) inside out: to know (it) extremely well.The text cited in quot. ?a1600 is almost certainly a forgery by J. P. Collier.ΘΚΠ
the world > space > relative position > inversion > inverted [phrase] > inside out
inside outwards1681
outside in1681
The ‘In’ and ‘Out1925
the mind > mental capacity > knowledge > knowledge, what is known > familiarity > be or become familiar with [phrase]
at one's fingers' (also finger) ends1528
to get the hang of1845
to know one's onions1908
to know (something) inside out1921
?a1600 R. Tarlton Jests (1844) Introd. 22 Could you turne him inside out, You would presentlie see, Squeaking [etc.].]
1681 J. Scott Christian Life: Pt. I iii. 198 To oblige us..to turn our selves inside outwards to all we converse with; to give to every one his due..to weigh to our Neigbours and our selves in the same Balance, and to do to them whatsoever we could reasonably wish they should do to us.
1692 J. Washington tr. J. Milton Def. People Eng. i. 14 Though one should turn you topsie-turvy, and in-side out, [you] are but a Grammarian.
1772 H. Walpole Last Jrnls. (1859) I. 7 Turned their coats inside outwards for luck.
1836 Penny Cycl. V. 245/2 The polypes..are so simple in their structure that they may be turned inside out like a glove.
1887 A. Jessopp Arcady vii. 214.
1921 A. Huxley Let. 24 Aug. (1969) 201 Maria and I have just come back from..Rome... What a place! It inspires one at once with a kind of passion to know it utterly and inside out.
1967 N. Freeling Strike Out 31 A restaurant—that's a simpler affair, and Marguerite knows it inside out.
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