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## Gatha 178-10
**Dividing the Jagatpratar by an innumerable part of the Pratarangul, the number of Dwindriya, Trindriya, Chaturindriya, and Panchendriya beings is obtained. However, the number of Trindriya beings is less than the number of Dwindriya beings, and the number of Chaturindriya beings is less than the number of Trindriya beings. The number of Panchendriya beings is less than the number of Chaturindriya beings. Thus, they are progressively less in number.**
**Explanation:**
* Dividing the Pratarangul by an innumerable part of the Pavali, the resulting quotient is obtained. Dividing the Jagatpratar by this quotient gives the number of beings.
* This number is then divided by an innumerable part of the Pavali, and one part is set aside. The remaining part is divided into four equal sections, and one section is given to each of the Dwindriya, Trindriya, Chaturindriya, and Panchendriya beings, ensuring that each receives an equal share without any excess or deficiency.
* The set aside part is again divided by an innumerable part of the Pavali, and the majority of the resulting parts are given to the Dwindriya beings, as they are the most numerous among the four.
* The remaining part is again divided by an innumerable part of the Pavali, and the majority of the resulting parts are given to the Trindriya beings, as they are the most numerous among the remaining three categories (Trindriya, Chaturindriya, and Panchendriya).
* The remaining part is again divided by an innumerable part of the Pavali, and the majority of the resulting parts are given to the Chaturindriya beings. The remaining part is then given to the Panchendriya beings, as they are the least numerous.
* When these parts are combined with their respective equal sections, the number of Dwindriya and other beings is obtained.
**To obtain the number of Trindriya, Dwindriya, Panchendriya, and Chaturindriya beings, the Jagatpratar should be divided by an innumerable part of the Pratarangul. The resulting quotient is then divided by an innumerable part of the Pavali, and the resulting parts are divided into four equal sections. One section is given to each of the Trindriya, Dwindriya, Panchendriya, and Chaturindriya beings. The remaining part is then divided by an innumerable part of the Pavali, and the majority of the resulting parts are added to the equal section of the Trindriya beings. The remaining part is again divided by an innumerable part of the Pavali, and the majority of the resulting parts are added to the equal section of the Dwindriya beings. The remaining part is again divided by an innumerable part of the Pavali, and the majority of the resulting parts are added to the equal section of the Panchendriya beings. The remaining part is then added to the equal section of the Chaturindriya beings. The resulting number represents the number of Trindriya, Dwindriya, Panchendriya, and Chaturindriya beings, which progressively decreases.**
**Subtracting the number of Paryapt beings from their respective general categories gives the number of Aparyapt beings.**
**The Dhavalagranth states:**
* "Prathibhag and Bhagahar are synonymous terms."
* "The square of an innumerable part of the Angul (an innumerable part of the Angul multiplied by an innumerable part of the Angul) is the Pratarangul."
* "An innumerable part of the Angul is the divisor (Prathibhag) for obtaining the number of Panchendriya beings from the Jagatpratar."
**Note:**
* This translation preserves the Jain terms as requested.
* The text refers to the number of beings with different senses (Dwindriya, Trindriya, Chaturindriya, and Panchendriya).
* The text also mentions Paryapt (sufficient) and Aparyapt (insufficient) beings, which are categories within the different sense groups.
* The text uses the terms Pavali and Pratarangul, which are units of measurement used in Jain cosmology.
* The text refers to the Dhavalagranth, a major Jain scripture.