The word "hare":
hari harati papani dusta cittair api smrtah
anicchayapi samsprsto dahaty eva hi pavakah
vijnapya bhagavat tattvam cid ghanananda vigraham
haraty avidyam tat karyam ato harir iti smrtah
"Just as the fire, on contacting an object, automatically burns it, so the name of Hari takes away (harati) or burns up all ht esins of the people with materialistic hearts. It removes (harati) all ignorance and reveals the transcendental, blissful form of the Lord. Also, 'hari' means that personality who attracts (harati) the minds of all the people in the universe when they hear stories of His transcendental qualities; or, He who attracts the minds of people by His beautiful youthful form. 'Hari' in the grammatical form of address, the vocative, or calling out to a person, becomes 'hare'."
The word 'hare' has another meaning:
svarupa prema vatsalyair harer harati ya manah
hara sa kathyate sadbhih sri radha vrsabhanuja
Hara is Srimati Radhika, daughter of Vrsabhanu, who steals (harati) the mind of Hari, Krsna, by her unalloyed love. Hara, in the form of address, also becomes 'hare'.
The word 'Krsna':
krsir bhu vacakah sabdo nas cananda svarupakah
tayor aikyam param brahma krsna ity abhidhiyate
"The word 'krsna' is composed of the root 'krsi' meaning 'bhu,' the shelter of all existence and the word 'na' meaning 'nivriti' or the form of supreme bliss. Combined they form the word 'krsna' which signifies the param brahma, the supreme personality of Godhead with blissful form."
Krsna in the form of address remains as 'krsna.'
The word 'Rama':
ramante yogino 'nante nityanande cidatmani
iti rama padenaiva param brahmadbhidhiyate
"The param brahma is known as Rama because the yogis take pleasure (ramante) in meditating on His eternal, blissful form."
vaidagdhi sara sarvasva murti liladbhidevatam
sri radham ramayan nityam rama ity abhidhiyate
"The Supreme Lord is called Rama because He carries out pastimes of pleasure with the most beautiful Sri Radha."
Hare Krsna Hare Krsna Krsna Krsna Hare Hare
Hare Rama Hare Rama Rama Rama Hare Hare
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