Canons of the Ecumenical Fourth Lateran Council (canon 3), 1215: Secular authorities, whatever office they may hold, shall be admonished and induced and if necessary compelled by ecclesiastical censure, that as they wish to be esteemed and numbered among the faithful, so for the defense of the faith they ought publicly to take an oath that they will strive in good faith and to the best of their ability to exterminate in the territories subject to their jurisdiction all heretics pointed out by the Church; so that whenever anyone shall have assumed authority, whether spiritual or temporal, let him be bound to confirm this decree by oath....But if a temporal ruler,....should neglect to cleanse his territory of this heretical foulness, let him be excommunicated by the metropolitan and the other bishops of the province. If he refuses to make satisfaction within a year, let the matter be made known to the supreme pontiff, that he may declare the ruler’s vassals absolved from their allegiance and may offer the territory to be ruled lay Catholics, who on the extermination of the heretics may possess it without hindrance
"As usual, you added your own false interpretation and added words to the text. The 1215 Lateran council says " that they will seek, in so far as they can, to expel from the lands subject to their jurisdiction all heretics designated by the church in good faith." not "exterminate" That's how your ilk adds words to historical document as well as to the Bible, right?"
Rather, as usual, being clearly refuted then rather than admitting it, 4 days later you add another FALSE charge, accusing me of adding words to historical document as well as to the Bible, while not only have you utterly failed to substantiate the latter but the former as well, for what I posted is copied from the very source that I diligently provided the link to, http://www.fordham.edu/halsall/basis/lateran4.asp, and which is a Catholic (if Jesuit) source, well know for its Internet Medieval Sourcebook. And it lists its source as Roman Catholic priest Father. H. J. Schroeder, a translator of the decrees of the Council of Trent. And which text is here and does indeed say "exterminate."
Therefore whether the text says "expel" or "exterminate," your charge that I added words is another lie, and your contention is with the Catholic sources - "your ilk" not mine - which use "exterminate." What the Latin text says I know not, yet whether by excommunication and expulsion or actual slaying Catholic rulers were indeed required exterminate - remove, destroy or wipe out completely - those she deemed to be heretics.
And the use of physical force itself was sanctioned, including in slaying. Thus we have condemned as error, "That heretics be burned is against the will of the Spirit." (Exsurge Domine, Bull of Pope Leo X issued June 15, 1520 http://www.papalencyclicals.net/Leo10/l10exdom.htm) "Catholics who have girded themselves with the cross for the extermination [or expulsion] of the heretics, shall enjoy the indulgences and privileges granted to those who go in defense of the Holy Land." Punishment itself by physical means was historically affirmed as being a right of the RCC: "The Church has the right,..to admonish or warn its members, ecclesiastical or lay, who have not conformed to its laws and also, if needful to punish them by physical means, that is, coercive jurisdiction." - Catholic encyclopedia, Jurisdiction (http://www.newadvent.org/cathen/08567a.htm) Pope Pius IX, The Syllabus (of Errors): "[It is error to believe that] The (Catholic) Church has not the power of using force, nor has she any temporal power, direct or indirect." Section V, Errors Concerning the Church and Her Rights, #24. (http://www.ewtn.com/library/PAPALDOC/P9SYLL.HTM) While technically the Catholic church itself may have never executed heretics, yet she knew what Catholic governments would do and used coercive physical means to indict persons and sanctioned and enabled execution through her excommunication.
Meaning that you can try to absolve your church by placing the blame on secular authorities wanting "a common religious base as a good way to control the populace" but the reality is that Rome supported the physical punishment and execution of those she handed over to the state as heretics, even if treatment by the Inquisition was relatively less horrific than the purely secular system, and at times she did seek to prevent abuses, and despite the number of those slain often being exaggerated. Rome required RC rulers to exterminate/eliminate all she deemed to be heretics or loose their authority.
Pope Innocent IV, Ad extirpanda, papal bull, promulgated on May 15, 1252, by Pope Innocent IV, which explicitly authorized (and defined the appropriate circumstances for) the use of torture by the Inquisition for eliciting confessions from heretics, and provided for funding to be used to extirpate heretics,.
The head of state or ruler must force all the heretics whom he has in custody,{8} provided he does so without killing them or breaking their arms or legs, as actual robbers and murderers of souls and thieves of the sacraments of God and Christian faith, to confess their errors and accuse other heretics whom they know, and specify their motives, {9} and those whom they have seduced, and those who have lodged them and defended them, as thieves and robbers of material goods are made to accuse their accomplices and confess the crimes they have committed...He must obtain all fines in coin within three months, and divide them up in the manner to be set forth hereafter, and convict of crime those who cannot pay, and hold them in prison until they can...
(34) The head of state or ruler must divide up all the property of the heretics that is seized or discovered by the aforesaid officials, and the fines exacted from these heretics, in the form and manner following: one-third shall go to the government of the state or district. The second as a reward of the industry of the office shall go to the officials who handled this particular case. The third shall be deposited in some secure place to be kept by the aforesaid Diocesan bishop and inquisitors, and spent as they shall think fit to promote the faith and extirpate heretics, this policy prevailing in spite of any statute that has been or shall be enacted against this dividing-up of the heretics' property. - http://www.documentacatholicaomnia.eu/01p/1252-05-15,_SS_Innocentius_IV,_Bulla_%27Ad_Extirpanda%27,_EN.pdf
..in the 1180s, the Church began to panic at the spread of heresy, and thereafter it took the lead from the State, though it maintained the legal fiction that convicted and unrepentant heretics were merely 'deprived of the protection of the Church', which was (as they termed it) 'relaxed', the civil power then being free to burn them without committing mortal sin. Relaxation was accompanied by a formal plea for mercy; in fact this was meaningless, and the individual civil officer (sheriffs and so forth) had no choice but to burn, since otherwise he was denounced as a 'defender of heretics', and plunged into the perils of the system himself. (Paul Johnson, History of Christianity, © 1976 Athenium, p. 253 )
From the The Catholic Encyclopedia (heresy):
Like other powers and rights, the power of rejecting heresy adapts itself in practice to circumstances of time and place, and, especially, of social and political conditions. At the beginning it worked without special organization. The ancient discipline charged the bishops with the duty of searching out the heresies in their diocese and checking the progress of error by any means at their command.... under the Christian emperors rigorous measures were enforced against the goods and persons of heretics..... The burning of heretics was first decreed in the eleventh century. The Synod of Verona (1184) imposed on bishops the duty to search out the heretics in their dioceses and to hand them over to the secular power. Other synods, and the Fourth Lateran Council (1215) under Pope Innocent III, repeated and enforced this decree, especially the Synod of Toulouse (1229), which established inquisitors in every parish (one priest and two laymen). Everyone was bound to denounce heretics, the names of the witnesses were kept secret; after 1243, when Innocent IV sanctioned the laws of Emperor Frederick II and of Louis IX against heretics, torture was applied in trials; the guilty persons were delivered up to the civil authorities and actually burnt at the stake. (see Index of Prohibited Books). - https://www.newadvent.org/cathen/07256b.htm
The codification of legislation against heresy took place over half a century, roughly 1180-1230, when it culminated in the creation of a permanent tribunal, staffed by Dominican friars, who worked from a fixed base in conjunction with the episcopate, and were endowed with generous authority.
In 1184 Pope Lucius III required bishops to make a judicial inquiry, or inquisition, for heresy in their dioceses, a provision renewed by the fourth Lateran Council in 1215. Episcopal inquisitions, however, proved ineffective because of the regional nature of the bishop’s power and because not all bishops introduced inquisitions in their dioceses; the papacy gradually assumed authority over the process, though bishops never lost the right to lead inquisitions. In 1227 Pope Gregory IX appointed the first judges delegate as inquisitors for heretical depravity—many, though not all, of whom were Dominican and Franciscan friars. Papal inquisitors had authority over everyone except bishops and their officials. There was no central authority to coordinate their activities, but after 1248 or 1249, when the first handbook of inquisitorial practice was written, inquisitors adopted common procedures...
When instituting an inquiry in a district, an inquisitor would normally declare a period of grace during which those who voluntarily confessed their own involvement in heresy and that of others would be given only light penances. The inquisitor used these confessions to compile a list of suspects whom he summoned to his tribunal. Failure to appear was considered evidence of guilt. The trial was often a battle of wits between the inquisitor and the accused. The only other people present were a notary, who kept a record of the proceedings, and sworn witnesses, who attested the record’s accuracy. No lawyer would defend a suspect for fear of being accused of abetting heresy, and suspects were not normally told what charges had been made against them or by whom. The accused might appeal to the pope before proceedings began, but this involved considerable expense...
Heretics who admitted their errors but refused to recant were handed over to the secular authorities and burned at the stake. There were usually not many cases of this kind, because the chief aim of the inquisitors was to reconcile heretics to the church. On rare occasions, however, large public executions did take place, as at Verona in 1278, when some 200 Cathars were burned....
Even where it did operate—in much of Italy and in kingdoms such as France and Aragon—the inquisition relied entirely on the secular authorities to arrest and execute those whom it named and to defray all its expenses. The money came partly from the sale of the confiscated property of convicted heretics. - https://www.britannica.com/topic/inquisition
Convictions of thought-crimes being difficult to secure, the Inquisition used procedures banned in other courts, and so contravened town charters, written and customary laws, and virtually every aspect of established jurisprudence. The names of hostile witnesses were withheld, anonymous informers were used, the accusations of personal enemies were allowed, the accused were denied the right of defence, or of defending counsel; and there was no appeal. The object, quite simply, was to produce convictions at any cost; only thus, it was thought, could heresy be quenched. Hence depositors were not named; all a suspect could do was to produce a list of his enemies, and he was allowed to bring forward witnesses to testify that such enemies existed, but for no other purpose. On the other hand, the prosecution could use the evidence of criminals, heretics, children and accomplices, usually forbidden in other courts...
Once an area became infected by heresy, and the system moved in, large numbers of people became entangled in its toils. Children of heretics could not inherit, as the stain was vicarial; grandchildren could not hold ecclesiastical benefices unless they successfully denounced someone. Everyone from the age of fourteen (girls from twelve) were required to take public oaths every two years to remain good Catholics and denounce heretics..
Torture was not employed regularly until near the end of the thirteenth century (except by secular officials without reference to the Inquisition) but suspects could be held in prison and summoned again and again until they yielded, the object of the operation being to obtain admissions or denunciations. When torture was adopted it was subjected to canonical restraints - if it produced nothing on the first occasion it was forbidden to repeat it. But such regulations were open to glosses; Francis Pegna, the leading Inquisition commentator, wrote:
'But if, having been tortured reasonably (decenter), he will not confess the truth, set other sorts of torments before him, saying that he must pass through all these unless he will confess the truth. If even this fails, a second or third day may be appointed to him, either in terrorem or even in truth, for the continuation (not repetition) of torture; for tortures may not be repeated unless fresh evidence emerges against him; then, indeed, they may, for against continuation there is no prohibition.' — Paul Johnson, History of Christianity , © 1976 Athenium, see pgs. 253-255.
The use of the secular arm to physically eliminate opposition was not new. Damasus 1 (366-384) is reported to have begun his reign by employing a gang of thugs in seeking to secure his chair, which carried out a three-day massacre of his rivals supporters. Yet true to form, Rome made him a "saint."
On Sunday, October 1 his partisans seized the Lateran Basilica, and he was there consecrated. He then sought the help of the city prefect (the first occasion of a Pope in enlisting the civil power against his adversaries), and he promptly expelled Ursinus and his followers from Rome. Mob violence continued until October 26, when Damasus's men attacked the Liberian Basilica, where the Ursinians had sought refuge; the pagan historian Ammianus Marcellinus reports that they left 137 dead on the field. Damasus was now secure on his throne; but the bishops of Italy were shocked by the reports they received, and his moral authority was weakened for several years.... — Kelly, J. N. D. (1989). The Oxford Dictionary of Popes. USA: Oxford University Press. pp. 32 ,34. Cf. (The First Pontiff: Pope Damasus I and the Expansion of the Roman Primacy , pp. 15,33-34)
Then you have the history of Rome against the Jews .
Thus besides the use of coercive force, then it remains a fact that "Rome required RC rulers to exterminate/eliminate all she deemed to be heretics or loose their authority."