तरी तर्कु तोचि परशु।

तरी तर्कु तोचि परशु। नीतिभेदु अंकुशु। वेदान्तु तो महारसु। मोदकु मिरवे। 

The Parashu or battle axe is symbolic of deductive logic of the Sage Kanad. The Ankush or goad used to control elephants is symbolic of the logical reasoning of Gautam. The Modak or the sweet in his hand is symbolic of the essence of Vedanta of Vyasa.  

http://youtu.be/kKprZQfTvd4

देखा षड्दर्शने म्हणिपती।

देखा षड्दर्शने म्हणिपती। तेचि भुजांची आकृती। म्हणऊनि विसंवादे धरिती। आयुधे हाती।। 

The six philosophies (Nyaya by Sage Gautam, Vaishesika by Sage Kanad, Sankhya by Sage Kapil, Yoga by Sage Patanjali, Karma Mimamsa by Sage Jaimini and Vedanta by Vyasa) are the six arms of Ganesha and hence he holds in each different tools that demonstrate the discord, the disagreement among the philosophies. 

http://youtu.be/cZSgI6f9qZw

तेथ व्यासादिकांचिया मती।

तेथ व्यासादिकांचिया मती। तेचि मेखळा मिरवती। चोखाळपणे झळकती। पल्लवसडका।।

The waistband is showing off the intellect of people like Vyasa.

http://youtu.be/A241WqJzmHg

नाना प्रमेयांची परी।

नाना प्रमेयांची परी। निपुणपणे पाहतां कुसरी। दिसती उचित पदें माझारी। रत्ने भली।।

When one looks at these anklets carefully one finds carefully selected jewels of propositions and principles that are the essence of poetry and drama. 

http://youtu.be/3OXHUCYCJz8

देखा काव्यनाटका।

देखा काव्यनाटका। जें निर्धारितां सकौतुका। त्याचि रुणझुणती क्षुद्रघंटिका। अर्थध्वनि।।

The sound of the anklets that Ganesha wears are the meaning from poetry and drama 

http://youtu.be/7DLt9clHzsI

पदबंध नागर।

पदबंध नागर। तेंचि रंगाथिले अंबर। जेथ साहित्य वाणे सपूर। उजाळाचे।।

Excellently crafted sentences are Ganesha’s garments. The figures of speech in the sentences give these garments a bright texture. 

http://youtu.be/fRjd0e1zuaI

अष्टादश पुराणे।

अष्टादश पुराणे। तींचि मणिभूषणे। पदपद्धती खेवणे। प्रमेयरत्नांचीं।।

The eighteen Puranas (Brahma, Padma, Vishnu, Shiva, Vamana, Markandeya, Varaha,Agni, Kurma, Bhagavad, Linga, Narada, Skanda, Garuda, Matsya, Vayu, Bhavishya, Brahmanda) adorn Ganesha’s body. The principles, the propositions and the verse are the jewels.

http://youtu.be/UmeoOjwWNws