ORIGIN OF THE THOROUGHBRED HORSE. a7 
foregoing calculation would place the two D’Arcy Turks considerably 
ahead of all competitors. The Yellow D’Arcy Turk, for instance, 
appears in all three of these great pedigrees (altogether six times), while 
the White D’Arcy Turk, through Hautboy, is met with nine times in 
two out of the three pedigrees. Mr. Hanckey Smith and other writers 
on the horse have drawn attention to this subject, and although I have 
on former occasions disputed the correctness of his arguments, yet on a 
careful reconsideration I am bound to admit that there is perhaps some 
tenable ground for the hypothesis, even if we do not accept it. But 
though it is quite true that, as I before remarked, these horses occur more 
frequently than any other in the three pedigrees, yet still the strains are 
much more remote; and in the pedigree of Eclipse, for instance, the 
whole seven, when put together, only amount to ;$5 of that horse. Now 
this is only a trifle over ~,, while the Darley Arabian makes up exactly 
that proportion, and the Godolphin Barb twice as much, or 4. But 
when, in addition to these facts, it is considered that both the one and the 
other of the last-named horses are continually being renewed as we come 
nearer to our own times, while the re-appearance of the White D’Arcy 
Turk is much more rare, the argument is no longer felt to be tenable, 
Eclipse himself, I think, may very probably have owed his good qualities 
to the numerous lines of the White D’Arcy Turk; but taking his son 
Pot80s and his grandson Waxy, the probability is all the other way. 
For Eclipse, being composed of a little more than ;; of the White 
D’Arcy, of = exactly of the Darley Arabian, and } of the Godolphin 
Barb, is put to Sportsmistress, possessing a trace of the White D’Arcy 
Turk, but made up of + of the Godolphin Barb, and ,4 each of the 
Darley Arab and Byerley Turk. The composition, therefore, of the pro- 
duce, Pot8os, will be + Godolphin Barb, ,§ Darley Arabian, 3; Byerley 
Turk, and ;, of the White D’Arcy Turk. Jo make this calculation 
intelligible, it is necessary to study the subject of breeding, to the chapter 
on which my reader is referred for its explanation. Proceeding, however, 
to the next step, we see Pot80s put to Maria, who is composed of 3175 
D'Arcy White Turk, but then + of her blood is that of the Godolphin 
Barb, 38; of the Darley Arab, and 72; Byerley Turk. Her composition 
therefore becomes of Godolphin Barb, 35; of the White D’Arcy Turk 
(or a little more than 3), 14 of Darley Arab blood (or about 4), and 
pas Byerley Turk (or about 54,), proving, on this method of calculation, 
the superior claims of the Godolphin Barb and Darley Arabian to those 
of the White D’Arcy Turk, in estimating the value of the several 
elements of which Waxy’is composed. 
THIS ARITHMETICAL METHOD of calculation is not to be entirely depended 
on, for we shall find, in discussing the theory and practice of breeding, 
that where a domestic animal (4) composed of eight several strains is put 
to another (B) composed also of eight strains of blood, but one of them 
being similar to one in (a), the produce shall be more than + (a) in appear- 
ance and qualities, and this goes on increasing in proportion to the 
number of times that the experiment is repeated. Eclipse, then, having 
nine distinct lines of the White D’Arcy Turk, might be expected, on this 
hypothesis, to be really composed of much more than the exact propor- 
tionals of that horse which I have assigned to him; and it is on these 
grounds only that Mr. Hanckey Smith’s theory can be supported, unless 
the preponderance of the male is admitted to be less than it is very gene- 
rally supposed to be. - The subject is one not merely historically curious, but 
of the deepest interest to the breeder of any of our domestic animals, and 
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