If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.

If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.

If there was realism in the theater, there would never be a third act.

* If the third baseman fields a ball and throws it to first, it is recorded as a 5 – 3 out.

If a Committee manages to adopt a joint text, it then has to be approved in a third reading by both the Council and Parliament or the proposal is abandoned.

If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.

In particular, the third anathema reads: " If anyone divides in the one Christ the hypostases after the union, joining them only by a conjunction of dignity or authority or power, and not rather by a coming together in a union by nature, let him be anathema.

If a team fails to gain ten yards in two downs they usually punt the ball on third down or try to kick a field goal ( see below ), depending on their position on the field.

If objects are seen as moving within a rotating frame, this movement results in another fictitious force, the Coriolis force ; and if the rate of rotation of the frame is changing, a third fictitious force, the Euler force is experienced.

If the third layer is placed so that its atoms are directly above those of the first layer, the stacking will be ABA — this is the hcp structure, and it continues ABABABAB.

If the panegyric detailing the ceremony implied that the true center of the Empire was not Rome, but where the Emperor sat ("... the capital of the Empire appeared to be there, where the two emperors met "), it simply echoed what had already been stated by the historian Herodian in the early third century: " Rome is where the emperor is ".

If in the third identity we take H = G, we get that the set of commutators is stable under any endomorphism of G. This is in fact a generalization of the second identity, since we can take f to be the conjugation automorphism.

If his son were guilty, he would still believe him innocent, on the basis of faith in his son ; this would violate the third subjunctive condition.

The parallel postulate: If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.

If there is another functional group at a carbon, it may be named with the Greek letter, e. g., the gamma-amine in gamma-aminobutanoic acid is on the third carbon of the carbon chain attached to the carboxylic acid group.

If the team that batted second is substantially behind on first innings total, it may be required to bat again ( i. e., to immediately follow on from its first innings ) in the third innings of the match.

If anyone violates the truce of God and after the third admonition does not make satisfaction, he shall be anathematized.

If the Supreme Court grants certiorari and accepts the case, it will receive written briefs from each side ( and any amici curiae or friends of the court — usually interested third parties with some expertise to bear on the subject ) and schedule oral arguments.

If Language A borrowed a word from Language B, or both borrowed the word from a third language or inherited it from a common ancestor, and later the word shifted in meaning or acquired additional meanings in at least one of these languages, a native speaker of one language will face a false friend when learning the other.

If you listened very carefully, I have already stated to you what the third word is.

If you have read what I have told you, you will see that I have given you the third word.

If one carefully observes the third equation one will notice it also works for n

If the monopoly were permitted to charge individualised prices ( this is termed third degree price discrimination ), the quantity produced, and the price charged to the marginal customer, would be identical to that of a competitive company, thus eliminating the deadweight loss ; however, all gains from trade ( social welfare ) would accrue to the monopolist and none to the consumer.

If only the second and third conditions of the definition of measure above are met, and takes on at most one of the values, then is called a signed measure.

" If Pseudo-Ignatius dates as early as 140, its admonition must be considered important evidence on 2nd-century Sabbath and Lord's Day observance.

While noting that Jesus Christ never held any wealth, and that in fact He lived as a mendicant ; many Christian Communists point out, in reply, the admonition of Jesus to the young man in Matthew 19: 16 – 24: " If thou wilt be perfect, go sell what thou hast, and give to the poor ".

The opening words of Illustrations for designing mountain, water and hillside field landscapes ( 1466 ) are " If you have not received the oral transmissions, you must not make gardens " and its closing admonition is " You must never show this writing to outsiders.

John Wesley a bishop or not, If he was episcopally consecrated, Wesley could not openly announce this without incurring the penalty of the Præmunire Act.

If oil blessed by the bishop is not available, the priest administering the sacrament may bless the oil, but only within the framework of the celebration.

If anyone shall dare act contrary to this and arrogate to himself the power belonging to the bishop, let him be expelled from the Church.

If anyone shall violate the truce of God he shall be admonished three times by the bishop to make satisfaction.

If a bishop, especially one acting as an ordinary – a head of a diocese or archdiocese – is to be ordained, three bishops must usually co-consecrate him with one bishop, usually an archbishop or the bishop of the place, being the chief consecrating prelate.

If the bishop is a diocesan rather than a titular bishop, he is likely to delegate the daily functions to an auxiliary bishop or a lower cleric.

Writing in 409, Jerome remarked, " A great many years ago when I was helping Damasus, bishop of Rome with his ecclesiastical correspondence, and writing his answers to the questions referred to him by the councils of the east and west ..." If " east and west " do not betray the passage as an interpolation, Jerome spent three years ( 382 – 385 ) in Rome in close intercourse with Pope Damasus and the leading Christians.

If instead of the knight, White had a bishop on either color of square, White would win with either side to move.

If a rook or queen is pinned along a file, or a bishop or queen is pinned along a diagonal, the pin is a partial pin: the pinned unit can still move along its line but cannot leave that line.

If a bishop or abbot celebrates, he wears a plain mitre ( mitra simplex ).

If the danger of death is present or if, in the judgement of the diocesan bishop or conference of bishops, some other grave necessity urges it, Catholic ministers administer these same sacraments licitly also to other Christians not having full communion with the Catholic Church, who cannot approach a minister of their own community and who seek such on their own accord, provided that they manifest Catholic faith in respect to these sacraments and are properly disposed.

If there is no parish church, the bishop licenses another building for worship, and may designate it as a Parish Centre of Worship, a building which is not consecrated, but dedicated, and for most legal purposes it is deemed to be a parish church.

When Pope Innocent II asked Thurstan's opinion on the elevation of Anselm of St Saba, who was Abbot of Bury St. Edmunds, to become Bishop of London, Thurstan replied " If we consider his life and reputation, it would be much more fitting to remove him from his abbacy than to promote him to be bishop of London.

If a newly elected pope is not a bishop, he is consecrated at once.

If the new pope is already a bishop, as is normally the case, his election is announced immediately to the people gathered in Saint Peter's Square and he gives them his blessing.

If a bishop celebrates, he wears a plain mitre.

" If necessity so requires ", the diocesan bishop may grant specified priests the faculty to administer the sacrament, although normally he is to administer it himself or ensure that that it is conferred by another bishop.

( If it were, there would be no need for the presence of a bishop.

If a bishop, the Lord Chancellor received a writ of summons ; if an ecclesiastic of a lower degree, or if a layman, he attended without any summons.