[Liber sextus Decretalium]

Which some attributed to Alexander IV, and the same in similar cases.
a Capicē. The same, and it is well established. Distinction 40, "Do not you," where he elevates those he speaks of with clear language; or "extols," as in Book 1, De officio presbyteri, chapter "until." Or, he was previously requested regarding this by one.
b From many. Testimony of the goodness of the witness, through his own messenger sent to this place, the discreet man of good memory, Lord Iacobus de Castello, a mansionary of Bologna. He was a small man, both in body and intelligence, although he was great in the knowledge of this law, as he stood before Pope Boniface. Boniface, believing him to be kneeling, warned him to rise, and he himself [the messenger] carried the message to the Pope, saying, "Zacchaeus is here."
c Loss. It had to be constrained, see Book 1, section "Regarding the report," chapter 4.
d To be held. See later in this book, or reserved.
e To be refuted. That is, what is brought in or reserved is not to be accepted, as in Book 1, at the end of the preface.
f Public. See the distinction, at the end.
g Vice-chancellor. Then at that time cardinal deacon of the title of Saint Eustace.
h Doctor. They were experts, not only in the doctrine of the laws but also from the experience of things. Such ought to be those who oppose the law. Code, "Regarding the new code to be composed," in the first constitution.
i Of this kind. That is, published before the volume of the Decretals, Book 2.

of the pontificate, concerning the arrangement thereof. Being requested on this matter with persistence by many, to remove entirely and elucidate the ambiguity and uncertainty of this which brought loss to many; which of those decretals themselves ought to be held, and which ought in the future to be refuted, by the favor of divine grace, significantly concerned for the public good, through our venerable brothers, William, Archbishop of Embrun, and Berengarius, Bishop of Béziers, and our beloved son, Master Richard of Siena, Vice-Chancellor of the Holy Roman Church, a doctor of both laws, we have caused these decretals to be diligently reviewed. And finally, many of them, since they were contrary to others or to themselves, or entirely superfluous,

Ibidem, Distinction 46, chapter "until," where it says "not with elated customs," and section "S" 6, or.
t Titles. Do not include the authentic rubrics. To this, section "c," "l," as in "Of the life of clerics," Distinction 1, section "this," and also "lest they," various, chapter 1; as in "Of the church," Book 2, chapter 2, section "until," that is, which... [unclear]
u Volume of Decretals. Book 4, chapter "one." For this is the age...
v Perfect. As in the five ages of the world, and the state of man, ending as there: For the first age in a man is infancy, which lasts until the seventh year. The second, childhood, until the fourteenth or fifteenth year. The third, adolescence, until the twenty-fifth. The fourth, youth or virile age, until the fiftieth. The fifth, old age, until the seventieth. The sixth, thereafter, is called senility. The term of other ages, Code, "Of the holy church," as "between the same." So too the six generations of the world. The first of which is until Noah. The second until Abraham. The third until David the King. The fourth until the Babylonian captivity. The fifth until the advent of Christ. The sixth until the end of the century. Moreover, it is to these, Distinction 4, of the eternal, that these similarities are good, but they do not imply that the number six itself is perfect. Whence it is said by arithmeticians that there are four generations of numbers: the first which begins from one, and

having seen them cut away entirely, and with the rest of them shortened, or changed in whole or in part, with many corrections, subtractions, and additions, as we deemed expedient, we commanded them to be gathered into one book, along with certain constitutions in which many healthy things are decreed for the correction of morals and the peace of subjects, which, God willing, shall bring forth abundant fruit in the house of the Lord and decide many doubts frequently encountered in judgments and outside them. We commanded them to be placed under proper titles, which book we judged should be joined to the five other books of the said volume of decretals and be called the Sixth. So that the same volume, with that book added, comprising the number six, which is a perfect number, might hold perfect

k Contrary. Which ought not to be found in law, as above in the preface, "which also...".
l Abbreviated. As we have seen, for it wandered through long words, and began "Grave for us," with the end, or it was...
m In whole. As is plain, in the Decretals of Innocent IV, which began "Since," which by shorter words are placed, "lest clerics or morals," chapter 2, and by the Decretals which formerly began thus, "Beloved," which by shorter words are placed, Book 1, "Of elections," Statute, etc.
n Temporal. Chapter 1, which formerly began "John Frangipane," Innocent IV, "Mary" in the text, and many...
n Changed. Book 1, "Of rescripts," on the statutes, as below, "Of heretics," whosoever, at the end, as there.
o Corrections. I shall say, or chapter 1, at the end, and chapter "since the witness," etc.
p Subtractions. As below, section "or," "n," at the end, and the double, below, section "or," as "which is perilous," as in all these I shall say, only, as I shall say there, the same.
q Additions. As below, "Of the rules of law," etc. It would be to see in the same, Book 1, "Of the prebend," by the clerics, for the poor, and below, section "until," priest, well captured, or, etc.
r We have seen. As above, it is not said, "Section D."
s Correction of morals. For this alone is done, that the life of men may be corrected, or 3, Question 5, section "perfect," and of the emperors it is said, "by our laws we shall correct the customs," Code, "Of second marriages," law 1, at the end.
durat usqʒ ad . p . et si ista nuō monadicoꝝ . amona- qđ est vnu . vij . q . i . placuit . n . q' ab vno incipit . Scđā sz decadicoꝝ . a decade qđ ē dece . et durat vsqʒ ad cētū Tercia sz centedicoꝝ et incipit a centū et durat vsqʒ ad mille . Quarta sz milledicoꝝ a mille incipiēs et durat vsqʒ i infinitū . Ex his qtuor gnibʒ mioꝝ ē repire alios pfectos paucos tñ alios ipfectos . er ipfectū ē repire alios dimitutos . alios abūdātes . đt iūs pfect⁹ q constat vel resultat p se ex omnibʒ ptibʒ suis aliquotīs simul aggregatis . Est [et] videnduz q sūt ptes aliquote Et sūt pres aliquote que aliquoties sūpte reddūt suum totū p[re]cise . i . non plus nec min⁹ . vide iʒ in senario q' est p[ri]m⁹ pfectoꝝ et sol⁹ inter monadicos pfect⁹ . nā sex vicibʒ vnū fac hūc ter duo fer sūt bis tria fer sūnt . Abinde nō sūt ptes aliquote q' quatuor aliqciēs sūpte facerēt . vij . vel plus . ergo omnes pres aliquote hīt hēe . vnuʒ duo tria . f vnū duo tria faciūt sex . g senarius numerus est pfect⁹ fm diff[initio]nem supra d[ic]tā q' bʒ q numerus pfectus resultat p se ex omnibʒ ptibʒ suis aliquotīs simul aggregatis . Vide in alio nūe pfecto . i . in genere enim
The marginal note contains a mathematical explanation of perfect numbers (numbers equal to the sum of their proper divisors). It defines monadics (units), decadics (tens), centedics (hundreds), and milledics (thousands), explaining that 6 is the first perfect number because 1+2+3=6.