Proposition 34: If soever many quantities are compared to just as many others and the proportion of any preceding to its relative were greater than of any subsequent to its own, then the proportion of all these accepted together to all those accepted together will be greater than any subsequent comparable to its own, and also of all the accepted together to all the accepted together, but less than the first to the first.
& then that's it.
Proposition 33: If the proportion of the total to total were greater than the abscinded to abscinded, then the proportion of the residuary to residuary will be greater than the total to total.
Proposition 32: If there were three quantities in one order, and also three in another, and the proportion of the second to third of the prior were greater than the first to second of the posterior, and also the first to second of the prior were greater than the second to third of the posterior, the proportion of the first to third of the prior will be greater than the first to third of the posterior.
Proposition 31: If there were three quantities in one order, and also three in another, and the proportion of the first to second of the prior were greater than the first to second of the posterior, and also the second to third of the prior were greater than the second to third of the posterior, then likewise the proportion of the first to third of the prior will be greater than the first to third of the posterior.
Proposition 30: If there were four quantities of which the proportion of first and second to the second were greater than third and fourth to the fourth, then eversively the proportion of first and second to the first will be less than third and fourth to the third.
Proposition 29: If there were four quantities of which the proportion of first and second to the second were greater than third and fourth to the fourth, disjunctively too will the proportion of first to second be greater than third to fourth.
Proposition 28: If there were four quantities, of which the proportion of the first to second were greater than the third to fourth, conjunctively too will the proportion of the first and second to the second be greater than the third and fourth to the fourth.
Proposition 27: If there were four quantities and the proportion of first to second were greater than third to fourth, then permutably the proportion of first to third will be greater than second to fourth.
Proposition 26: If there were four quantities and the proportion of first to second were greater than third to fourth, contrariwise by conversion the proportion of second to first will be less than fourth to third.
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