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Updated: May 9, 2025
By a system of maps, sights and signals the location of fires can be determined with reasonable accuracy, and the telephone enables warnings to be sent to all concerned. Telephone lines bisect the Reserve in several directions, and fire-fighting appliances are cached in accessible places ready for immediate use.
Ex. gr., that in order to bisect a line on an unerring principle I must draw from its extremities two intersecting arcs; this no doubt is taught by mathematics only in synthetical propositions; but if I know that it is only by this process that the intended operation can be performed, then to say that if I fully will the operation, I also will the action required for it, is an analytical proposition; for it is one and the same thing to conceive something as an effect which I can produce in a certain way, and to conceive myself as acting in this way.
To bisect a line, to erect a perpendicular, to describe a square, to bisect an angle, to draw a line parallel to a given line, to describe a hexagon, are problems which a little patience will enable him to find out. And from these he may be led on step by step to more complex questions: all of which, under judicious management, he will puzzle through unhelped.
The axiom asserts that the rect joining the two event-particles of intersection of the diagonals is parallel to the rect on which the bases lie. By the aid of this axiom it easily follows that the diagonals of a parallelogram bisect each other. Congruence is extended in any space beyond parallel rects to all rects by two axioms depending on perpendicularity.
Their homogeneity depends not on interchange of line or upon other mechanics of composition, but only upon the unity of associated ideas. In instances, however, where some of the figures of these groups are joined by horizontal lines or masses which bisect these verticals the pictorial intention begins to be felt.
I therefore beg that, with as little explanation as possible, you will bisect a lemon before her, and point out the appearance of the rind, of the cavities, and seeds; and afterwards, at your leisure, get a small cylinder of wood turned for her, and cut it into a transverse section and into a longitudinal section.
Those who attempt to bisect this vital unit, divide it up into one fractional part after another, until it shall represent a million bioplastic workers in as many different cells, are committing the same sort of folly in principle at least, if not in practice as that which led the simple-minded daughters of Pelias to cut up their father, in the expectation of boiling the old bioplasts into new, and then, by the cunning aid of Medea, who directed the operation, reuniting them into the one Peliastic-unit they so much delighted to honor.
This line of demarcation would bisect the present colony of South Australia. In the early part of this century, the French evidently considered that they had a well-founded claim, both to the discovery and possession of the south coast, west of Nuyts' "Island of St. Peters." The name of "Terre Napoleon" was given to it, Spencer's Gulf becoming "Golfe Bonaparte," and the Gulf of St.
Here, for example, you have Euclid writing in a perfectly prosaic way all in small type such an item as the following: "A perpendicular is let fall on a line BC so as to bisect it at the point C etc., etc.," just as if it were the most ordinary occurrence in the world.
It will accurately bisect the central group, composed of this figure and her two attendant genii, will pass through her elevated left knee, the centre of a system of curves, and the other end of it will strike the top of the post or mullion that divides the window opening into two parts. Raphael. "Jurisprudence."
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