word formation

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allthewayanime

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I would like to know if in the following text both options would be correct:


That Space, as our mathematicians have it, is spoken of as having three dimensions, which one may call length, Breadth, and Thickness, and is always definable by reference/referring to three planes, each at right angles to the others.
 
definable by a reference (needs the article for the noun) . . . .


definable by referring to . . . . (OK)
 
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