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एकस्य वेदस्य—वेद्यमिदंरूपम् अनिदंरूपम्, वेदनं वेदः—एकस्याद्वितीयस्य संविद्रूपस्येत्यर्थः ।तस्य एकवेदस्य ब्रह्मणोऽनवगमादृगादयो वेदाः बहवोऽभवन् ।अत्र ऋगादयो वेदाः तत्प्रतिपत्त्यर्थं विचारं कुर्वन्ति इति वेदाख्यानमवापुः ।अथवा, सद्भावं साधयन्तीति वेदाः ।विदन्ति वेदनसाधनभूता इति वा वेदाः ।अथवा, ब्रह्माधीनमात्मानं लभन्त इति वा वेदाः ।अथवा, ब्रह्मण आत्मतया लाभहेतव इति वा वेदाः ।विद् विचारणे, विद् सत्तायाम्, विद्
In plain words
Of the one single Veda—that which is to be known takes the form of both the manifest and the unmanifest, and knowing itself is the Veda: the reality of non-dual consciousness. Because that single Veda, which is Brahman, was not understood, the Rig and other Vedas multiplied into many. Here, the Rig and other Vedas inquire in order to realize that very reality, and thus earned the name 'Veda'. Or they are called Vedas because they establish truth, or because they serve as instruments of knowledge, or because through them one attains the self rooted in Brahman, or because they cause the realization of Brahman as one's own self. [Root meanings:] 'vid' in the sense of inquiry, 'vid' in the sense of existence, 'vid'...
Close to the Sanskrit
Of one Veda: what is to be known is of the form of this and not-this, knowing is the Veda—of the one non-dual conscious reality, that is the meaning. Due to the non-comprehension of that single Veda Brahman, the Rig and other Vedas became many. Here the Rig and other Vedas make inquiry for the sake of attaining that, thus they obtained the name Veda. Or, because they establish reality they are Vedas. Or because they are means of knowing, Vedas. Or because they attain the self dependent on Brahman, Vedas. Or because they are causes of gaining Brahman as the self. Vid in inquiry, vid in existence, vid...