[IDEM libro singulari de gradibus et adfinibus et nominibus eorum. ] §38.10.10.17#2hi omnes proaui aut proauiae eius, de cuius cognatione quaeritur, pronepotes et proneptes, eiusdem aui auiaeue fratris sororisue nepotes neptesue: et contra horum eiusdem auus auia patruus magnus amita magna, auunculus magnus matertera magna: erunt autem pater materue eiusdem fratresque et sorores utrius eorum propii sobrini: ipse his sobrinus est et inuicem huic illi sobrini.
All these are the great-grandsons and great-granddaughters of the great-grandfather or great-grandmother of the one whose relationship is being investigated, and the grandsons or granddaughters of the brother or sister of the same's grandfather or grandmother; and conversely, of these, the grandfather, grandmother, paternal great-uncle, paternal great-aunt, maternal great-uncle, maternal great-aunt of the same [are their ancestors]; moreover, the father or mother of the same, and the brothers and sisters of either of them, will be closer than a sobrinus [propii sobrini]; he himself is a sobrinus to them, and they in turn are sobrini to him.
patrui pronepos patrui proneptis: continent personas octo: nam utriusque sexus fiunt sedecim sic: pater auus patruus filius patrui nepos eiusdem ex filio pronepos eiusdem ex nepote filio nato item proneptis pater auia patruus filius patrui nepos eiusdem ex filio pronepos ex nepote filio nato item proneptis pater auus patruus filia patrui nepos eiusdem ex filia pronepos ex nepote et profilia nato neptis pater auia patruus filia patrui nepos eius ex filia pronepos ex nepote item profilia nato neptis pater auus patruus filius patrui neptis eiusdem ex filio pronepos ex nepte item profilio nata neptis pater auia patruus filius patrui neptis eiusdem ex filio pronepos ex nepte filio nata item proneptis pater auus patruus filia patrui neptis eiusdem ex filia pronepos ex nepte filia nata item proneptis pater auia patruus filia patrui neptis eiusdem ex filia pronepos ex nepte filia nata item proneptis amitae pronepos proneptis: totidem personas eadem ratione et is continet, tantum pro patruo amita sumpta.
The great-grandson of a paternal uncle, the great-granddaughter of a paternal uncle: they contain eight persons; for of both sexes they become sixteen, as follows: father - grandfather - paternal uncle - paternal uncle's son - his grandson from a son - his great-grandson born from a grandson who is a son, and likewise a great-granddaughter. father - grandmother - paternal uncle - paternal uncle's son - his grandson from a son - a great-grandson born from a grandson who is a son, and likewise a great-granddaughter. father - grandfather - paternal uncle - paternal uncle's daughter - his grandson from a daughter - a great-grandson born from a grandson and a granddaughter who is a daughter, and likewise a granddaughter. father - grandmother - paternal uncle - paternal uncle's daughter - his grandson from a daughter - a great-grandson born from a grandson and likewise a granddaughter who is a daughter, and likewise a granddaughter. father - grandfather - paternal uncle - paternal uncle's son - his granddaughter from a son - a great-grandson born from a granddaughter and likewise a grandson who is a son, and likewise a granddaughter. father - grandmother - paternal uncle - paternal uncle's son - his granddaughter from a son - a great-grandson born from a granddaughter who is a son, and likewise a great-granddaughter. father - grandfather - paternal uncle - paternal uncle's daughter - his granddaughter from a daughter - a great-grandson born from a granddaughter who is a daughter, and likewise a great-granddaughter. father - grandmother - paternal uncle - paternal uncle's daughter - his granddaughter from a daughter - a great-grandson born from a granddaughter who is a daughter, and likewise a great-granddaughter. The great-grandson and great-granddaughter of a paternal aunt: he contains just as many persons by the same reasoning, with only a paternal aunt being taken instead of a paternal uncle.
item auunculi pronepos proneptis, item pro patruo auunculo posito.
Likewise the great-grandson and great-granddaughter of a maternal uncle, with a maternal uncle being placed instead of a paternal uncle.
materterae pronepos proneptis: et hic ubi patruus positus est, matertera enumerata eundem numerum personarum inueniemus.
The great-grandson and great-granddaughter of a maternal aunt: and here, where a paternal uncle was placed, by enumerating a maternal aunt, we shall find the same number of persons.
hi omnes eius, de cuius cognatione quaeritur, consobrinorum nepotes neptesue sunt.
All these are the grandsons or granddaughters of the cousins of the one whose relationship is being investigated.
fratris sororisque abnepos abneptis: efficiunt personas sexaginta quattuor, ut ex supra scriptis apparere potest.
The great-great-great-grandson and great-great-great-granddaughter of a brother and sister: they make sixty-four persons, as can appear from what is written above.
trinepos trineptis: hi sunt filii filiaeue adnepos adneptis, nepotis neptis abnepos abneptis, pronepotis proneptisue pronepos proneptis, abnepotis abneptisue nepos neptisue, adnepotis adneptis filius filia.
The great-great-great-great-grandson and great-great-great-great-granddaughter: these are the great-great-great-grandson and great-great-great-granddaughter of a son or daughter, the great-great-grandson and great-great-granddaughter of a grandson or granddaughter, the great-grandson and great-granddaughter of a great-grandson or great-granddaughter, the grandson and granddaughter of a great-great-grandson or great-great-granddaughter, the son and daughter of a great-great-great-grandson or great-great-great-granddaughter.
hae appellationes demonstrant personas sexaginta quattuor, nam triginta duo trinepos complet, totidem trineptis.
These designations point to sixty-four persons, for thirty-two complete the great-great-great-great-grandson, and just as many the great-great-great-great-granddaughter.
ab nepote enim numerus quadruplatus in se efficit triginta duo, ipso nepote duas significante, pronepote quattuor, abnepote octo, adnepote sedecim: his accedunt trinepos trineptis, una ex adnepote nati, altera ex adnepte.
For from the grandson, the number quadrupled in itself makes thirty-two, the grandson himself signifying two, the great-grandson four, the great-great-grandson eight, the great-great-great-grandson sixteen: to these are added the great-great-great-great-grandson and great-great-great-great-granddaughter, one born from a great-great-great-grandson, the other from a great-great-great-granddaughter.
per singulos autem gradus ideo geminatio fit, quia maribus adiciuntur feminae, ex quibus proximus quisque progenitur, et numerabuntur sic: filius nepos pronepos ábnepos adnepos trinepos item trineptis filia nepos pronepos abnepos adnepos trinepos item trineptis filius neptis pronepos abnepos adnepos trinepos item trineptis filia neptis pronepos abnepos adnepos trinepos item trineptis filius nepos proneptis abnepos adnepos trinepos item trineptis filia nepos proneptis abnepos adnepos trinepos item trineptis filius neptis proneptis abnepos adnepos trinepos item trineptis filia neptis proneptis abnepos adnepos trinepos item trineptis filius nepos pronepos abneptis adnepos trinepos item trineptis filia nepos pronepos abneptis adnepos trinepos item trineptis filius nepos proneptis abneptis adnepos trinepos item trineptis filia nepos proneptis abneptis adnepos trinepos item trineptis filius neptis pronepos abneptis adnepos trinepos item trineptis filia neptis pronepos abneptis adnepos trinepos item trineptis filius neptis proneptis abneptis adnepos trinepos item trineptis filia neptis proneptis abneptis atnepos trinepos item trineptis filius nepos pronepos abnepos adneptis trinepos item trineptis filia nepos pronepos abnepos adneptis trinepos item trineptis filius neptis pronepos abnepos adneptis trinepos item trineptis filia neptis pronepos abnepos adneptis trinepos item trineptis filius nepos proneptis abnepos adneptis trinepos item trineptis filia nepos proneptis abnepos adneptis trinepos item trineptis filius neptis proneptis abnepos adneptis trinepos item trineptis filia neptis proneptis abnepos adneptis trinepos item trineptis filius nepos pronepos abneptis adneptis trinepos item trineptis filia nepos pronepos abneptis adneptis trinepos item trineptis filius nepos proneptis abneptis adneptis trinepos item trineptis filia nepos proneptis abneptis adneptis trinepos item trineptis filius neptis pronepos abneptis atneptis trinepos item trineptis filia neptis pronepos abneptis atneptis trinepos item trineptis filius neptis proneptis abneptis atneptis trinepos item trineptis filia neptis proneptis abneptis atneptis trinepos item trineptis
But through individual degrees a doubling occurs for this reason, because females are added to males, from whom each next generation is begotten, and they will be counted as follows: son - grandson - great-grandson - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-grandson - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-grandson - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-grandson - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-granddaughter - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-granddaughter - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-granddaughter - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-granddaughter - great-great-grandson - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-grandson - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-grandson - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-granddaughter - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-granddaughter - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-grandson - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-grandson - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-granddaughter - great-great-granddaughter - great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-granddaughter - great-great-granddaughter - great-great-great-great-grandson - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-grandson - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-grandson - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-grandson - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-grandson - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-granddaughter - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-granddaughter - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-granddaughter - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-granddaughter - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-grandson - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-grandson - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-granddaughter - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - grandson - great-granddaughter - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-grandson - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-grandson - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - granddaughter - great-granddaughter - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. daughter - granddaughter - great-granddaughter - great-great-granddaughter - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter. son - grandson - great-grandson - great-great-grandson - great-great-great-granddaughter - great-great-great-great-grandson, and likewise a great-great-great-great-granddaughter [and so on, continuing the doubling].