The approximate bisection (or any other division) of an angle may of course be effected by the help of the protractor and a straightedge.
This might be postponed until after the problem to bisect an angle, since it merely requires the bisection of a straight angle; but considering the immaturity of the average pupil, it is better given independently.
Thus, my coat may be cut into two halves, but it never will be so cut; it will wear out without any such bisection occurring.
This theory evades the difficulties raised by the hypothesis of deliberate reformatory legislation introducing the bisection of the tribe into exogamous societies.
The exogamous moieties of a tribe (phratries) are not the result of a reformatory legislative bisection of the tribe, but of the existence of "two intermarrying totem clan groups.
As to the bisection of the Celtic year, see the old authority quoted by P.
Before the bisectionis motion; after the bisection is rest.
The outer arc was divided by continual bisection alone, and a table was constructed by which the readings of the one arc could be converted into those of the other.
The former was the first to devise a means of graduating the quadrant by continual bisection without the aid of such a scale of equal parts as was used by Bird.
The original graduation of a straight line is done either by the method of continual bisection or by stepping.
In continual bisection the entire length of the line is first laid down.
He employed the method of continual bisectionaided by chords taken from an exact scale of equal parts, which could read to .
Then he supposes that the exogamous bisection occurred (and why did it occur?
The bisection must have had a purpose, and has no visible purpose except the establishment o f exogamy, and why did the 'undivided commune' establish that?
Mr. Frazer does not here pretend to guess why thebisection occurred.
There was not first an exogamousbisection of a tribe, or the addition of the exogamous rule to two 'original clans,' or totem groups, and then the subdivision of each of the two sections into a number of totems.
After the bisection two of these magical totem groups, say Eagle-Hawk and Crow, were selected, shall we guess, to give names to the two moieties or phratries?
Where I can agree with Herr Cunow is on the point that the two 'primary divisions' are the result, probably, of amalgamation, not of bisection for purposes of exogamy.
Spencer and Gillen appear to advance, but also to qualify out of existence, a theory of a motive for an exogamous bisection of earlier non-exogamous local totem groups.
Durkheim's, or my own, accounts for the phratry plus totem kins arrangement, without supposing the deliberatebisection of a hitherto undivided commune.
But my theory does not involve the deliberate introduction of exogamy, by an exogamous bisection of groups not hitherto exogamous, or by making two pre-existing totem groups exogamous.
The continued bisection of our distance, though it gives us continually smaller distances, gives us always finite distances.
The process of bisection is one which can, theoretically, be carried on for ever, without any last term being attained.
But why were they exogamous, these two primary groups formed by the bisection of a previously undivided incestuous horde?
It explains the origin of exogamy--not by an inexplicable moral reform, and bisection of the horde, but as the result of a political alliance.
We give reasons for everything, whereas, if a reformatory bisection of a promiscuous horde were made, by an inspired wizard, why did he do it, and why should each moiety take an animal name?
Abstract adherence to the subdivision indicated, that is, to continuous bisection into infinitude, is likewise false, for in the conception of a half, the interruption of continuity is involved.
In all these cases the increase by division is nothing else than an ordinary case of cell-division, in which bisection of the nucleus precedes that of the central capsule.
This is the famous principle, known by the name of the bisection of the excentricity.
The method he adopted in the beginning of this inquiry was to assume as approximately correct Ptolemy's doctrine of the bisection of the excentricity, and to investigate some simple relation nearly representing the same effect.
The bisection of the victim symbolized Christ slain and affording access to God through himself.
