Disclaimer: This translation does not guarantee complete accuracy, please confirm with the original page text.
## Translation:
**288/Go. Sa. Jivakanda**
**Verse 213-215**
The number of half-sections of the Badar Tejaskaayik beings is obtained by subtracting the number of Patyas (a unit of measurement) from a Sagar (another unit of measurement) after dividing the Sagar by an innumerable number of times by the Praavali (a unit of measurement). The number of half-sections of the Badar Aapratiṣṭhita Pratyek, Badar Pratiṣṭhita Pratyek, Badar Prithvi Kaayik, and Badar Jal Kaayik beings is obtained by dividing the Praavali by an innumerable number of times, twice, thrice, four times, and five times respectively, and then subtracting the result from a Sagar. The number of half-sections of the Badar Vayu Kaayik beings is equal to the number of a complete Sagar. ||213||
Each of these half-sections is greater than the previous one by an innumerable number of times the Praavali. Therefore, the number of beings in each category is an innumerable number of Lokas (worlds) times greater than the number of beings in the previous category. ||214||
To obtain the original amount, divide the number of half-sections of the desired amount by the number of half-sections of the given amount, and then multiply the desired amount by the result obtained. ||215||
**Explanation:**
Imagine a Sagar. Take one Patya from it and divide it into an innumerable number of parts by the Praavali. Keep one part separate and add the remaining parts back to the Sagar (minus the Patya). This gives you the number of half-sections of the Badar Tejaskaayik beings. Now, take the one part that was kept separate and divide it again by an innumerable number of times by the Praavali. Add the remaining parts to the half-sections of the Badar Tejaskaayik beings. This gives you the number of half-sections of the Badar Aapratiṣṭhita Pratyek Vanaspati beings. Repeat this process with the remaining part for the Badar Pratiṣṭhita Pratyek Vanaspati beings, Badar Prithvi Kaayik beings, and Badar Jal Kaayik beings. The remaining part after the last division represents the number of half-sections of the Badar Vayu Kaayik beings.
To obtain the number of Badar Tejaskaayik beings, take the number of half-sections of the Badar Tejaskaayik beings, divide it by two, and then multiply the result by itself. Alternatively, divide the number of half-sections of the Badar Tejaskaayik beings by the number of half-sections of a Ghana Lok (a unit of measurement), divide the result by two, and then multiply it by the number of Ghana Lokas. Alternatively, subtract the number of half-sections of the Badar Aapratiṣṭhita Pratyek Vanaspati beings from the number of half-sections of the Badar Tejaskaayik beings, divide the result by two, and then multiply it by itself. Finally, divide the result by the number of Badar Aapratiṣṭhita Pratyek Vanaspati beings to obtain the number of Badar Tejaskaayik beings.
**Note:**
This text is a complex explanation of the vastness of the Jain cosmology and the different categories of beings within it. The terms used are specific to Jain philosophy and require a deeper understanding of the concepts to fully grasp their meaning.