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part of the universe because they are erect; and of bipeds; man par



excellence; for man is the most natural of bipeds。 And it is



reasonable for the starting points to be in these parts; for the



starting…point is honourable; and the superior is more honourable than



the inferior; the front than the back; and the right than the left。 Or



we may reverse the argument and say quite well that these parts are



more honourable than their opposites just because the



starting…points are in them。



                                 6







  The above discussion has made it clear that the original of movement



is in the parts on the right。 Now every continuous whole; one part



of which is moved while the other remains at rest must; in order to be



able to move as a whole while one part stands still; have in the place



where both parts have opposed movements some common part which



connects the moving parts with one another。 Further in this common



part the original of the motion (and similarly of the absence of



motion) of each of the parts must lie。



  Clearly then if any of the opposite pairs of parts (right and



left; that is; superior and inferior; before and behind) have a



movement of their own; each of them has for common original of its



movements the juncture of the parts in question。



  Now before and behind are not distinctions relatively to that



which sets up its own motion; because in nature nothing has a movement



backwards; nor has a moving animal any division whereby it may make



a change of position towards its front or back; but right and left;



superior and inferior are so distinguished。 Accordingly; all animals



which progress by the use of distinct members have these members



distinguished not by the differences of before and behind; but only of



the remaining two pairs; the prior difference dividing these members



into right and left (a difference which must appear as soon as you



have division into two); and the other difference appearing of



necessity where there is division into four。



  Since then these two pairs; the superior and inferior and the



right and left; are linked to one another by the same common



original (by which I mean that which controls their movement); and



further; everything which is intended to make a movement in each



such part properly must have the original cause of all the said



movements arranged in a certain definite position relatively to the



distances from it of the originals of the movements of the



individual members (and these centres of the individual parts are in



pairs arranged coordinately or diagonally; and the common centre is



the original from which the animal's movements of right and left;



and similarly of superior and inferior; start); each animal must



have this original at a point where it is equally or nearly equally



related to each of the centres in the four parts described。



                                 7







  It is clear then how locomotion belongs to those animals only



which make their changes of place by means of two or four points in



their structure; or to such animals par excellence。 Moreover; since



this property belongs almost peculiarly to Sanguineous animals; we see



that no Sanguineous animal can progress at more points than four;



and that if it is the nature of anything so to progress at four points



it must of necessity be Sanguineous。



  What we observe in the animal world is in agreement with the above



account。 For no Sanguineous animal if it be divided into more parts



can live for any appreciable length of time; nor can it enjoy the



power of locomotion which it possessed while it was a continuous and



undivided whole。 But some bloodless animals and polypods can live a



long time; if divided; in each of the severed parts; and can move in



the same way as before they were dismembered。 Examples are what is



termed the centipede and other insects that are long in shape; for



even the hinder portion of all these goes on progressing in the same



direction as before when they are cut in two。



  The explanation of their living when thus divided is that each of



them is constructed like a continuous body of many separate living



beings。 It is plain; too; from what was said above why they are like



this。 Animals constructed most naturally are made to move at two or



four points; and even limbless Sanguinea are no exception。 They too



move by dint of four points; whereby they achieve progression。 They go



forward by means of two flexions。 For in each of their flexions



there is a right and a left; both before and behind in their flat



surface; in the part towards the head a right and a left front



point; and in the part towards the tail the two hinder points。 They



look as if they moved at two points only; where they touch before



and behind; but that is only because they are narrow in breadth。 Even。



in them the right is the sovereign part; and there is an alternate



correspondence behind; exactly as in quadrupeds。 The reason of their



flexions is their great length; for just as tall men walk with their



spines bellied (undulated) forward; and when their right shoulder is



leading in a forward direction their left hip rather inclined



backwards; so that their middle becomes hollow and bellied



(undulated); so we ought to conceive snakes as moving in concave



curves (undulations) upon the ground。 And this is evidence that they



move themselves like the quadrupeds; for they make the concave in



its turn convex and the convex concave。 When in its turn the left of



the forward parts is leading; the concavity is in its turn reversed;



for the right becomes the inner。 (Let the right front point be A;



the left B; the right hind C; the left D。)



  Among land animals this is the character of the movement of



snakes; and among water animals of eels; and conger…eels and also



lampreys; in fact of all that have their form snakelike。 However; some



marine animals of this shape have no fin; lampreys for example; but



put the sea to the same use as snakes do both land and water (for



snakes swim precisely as they move on the ground)。 Others have two



fins only; for example conger…eels and eels and a kind of cestreus



which breeds in the lake of Siphae。 On this account too those that are



accustomed to live on land; for example all the eels; move with



fewer flexions in a fluid than on land; while the kind of cestreus



which has two fins; by its flexion in a fluid makes up the remaining



points。



                                 8







  The reason why snakes are limbless is first that nature makes



nothing without purpose; but always regards what is the best



possible for each individual; preserving the peculiar essence of



each and its intended character; and secondly the principle we laid



down above that no Sanguineous creature can move itself at more than



four points。 Granting this it is evident that Sanguineous animals like



snakes; whose length is out of proportion to the rest of their



dimensions; cannot possibly have limbs; for they cannot have more than



four (or they would be bloodless); and if they had two or four they



would be practically stationary; so slow and unprofitable would



their movement necessarily be。



  But every limbed animal has necessarily an even number of such



limbs。 For those which only jump and so move from place to place do



not need limbs for this movement at least; but those which not only



jump but also need to walk; finding that movement not sufficient for



their purposes; evidently either are better able to progress with even



limbs or cannot otherwise progress at all every animal which has limbs



must have an even us for as this kind of movement is effected by



part of the body at a time; and not by the whole at once as in the



movement of leaping; some of the limbs must in turn remain at rest;



and others be moved; and the animal must act in each of these cases



with opposite limbs; shifting the weight from the limbs that are being



moved to those at rest。 And so nothing can walk on three limbs or on



one; in the latter case it has no support at all on which to rest



the body's weight; in the former only in respect of one pair of



opposites; and so it must necessarily fall in endeavouring so to move。



  Polypods however; like the Centipede; can indeed make progress on an



odd number of limbs; as may be seen by the experiment of wounding



one of their limbs; for then the mutilation of one row of limbs is



corrected by the number of limbs which remain on either side。 Such



mutilated creatures; however; drag the wounded limb after them with



the remainder; and do not properly speaking walk。 Moreover; it is



plain that they; too; would make the change of place better if they



had an even number; in fact if none were missing and they had the



limbs which correspond to one another。 In this way they could equalize



their own weight; and not oscillate to one side; if they had



corresponding supports instead of one section of the opposite sides



being unoccupied by a limb。 A walking creature advances from each of



its members alternately; for in this way it recovers the same figure



that it had at first。



                                 9







  The fact that all animals have an even number of feet; and the



reasons for the fact have been set forth。 What follows will explain



that if there were no point at rest flexion and straightening would be



impossible。 Flexion is a change from a right line to an arc or an



angle; straightening a change from either of these to a right line。



Now in all such changes the flexion or the straightening must be



relative to one point。 Moreover; without flexion there could not be



walking or swimming or flying。 For since limbed creatures stand and



take their weight alternately on one or other of the opposite legs; if



one be thrust forward the other of necessity must be bent。 For the



opposite limbs are naturally of equal length; and the one which is



under the weight must be a kind of perpendicular at right angles to



the ground。



  When then one leg is advanced it becomes the hypotenuse of a



right…angled triangle。 Its square then is equal to the square on the



other side together with the square on the base。 As the legs then



are equal; the one at rest must bend either at the knee or; if there



were any kneeless animal which walked; at some other articulation。 The



following experiment exhibits the fact。 If a man were to walk parallel



to a wall in sunshine; the line described (by the shadow of his



head》 would be not straight but zigzag; becoming lower as he bends;



and higher when he stands and lifts himself up。



  It is; indeed; possible to move onesel

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