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EP is the normal, and the actual motion of P is PM, perpendicular to EP, the angle PEM being made equal to CEA. Find now the component EN of the motion ES, which is perpendicular to EP. Draw NM and produce it to cut EP produced in R the center of curvature at P. The operations being exactly like those above described, will be readily traced by the reader without further explanation.
The applications had all been within the last year, so that the man had probably learnt from Louisa Hall, the nursery-maid, that Cea was the child of a deserted wife. A letter from Mrs. Morton gave some of the antecedents of Sam Rattler, as learnt from Mrs. Hall, the charwoman, whose great dread he was.
'And it has preyed on her? 'More than any one would guess who had not known her in old times. I was glad that you secured that child, Cea, to her. She seems to have fastened her affections on her. 'Alder, presently repeated Frank. 'Alder I was thinking how the name had come before me. There were some clients of ours of Mr. Burford's, I mean of that name; I think they sold an estate.
A pretty little fair-haired pale-cheeked girl, daintily but simply dressed, came in and made her curtsey very prettily, and replied nicely to Lord Northmoor's good-natured greeting and information that Michael had sent her a basket of primroses and a cowslip ball, which she would find in the hall. 'What do you say, Cea? said Bertha, anxious to demonstrate her manners.
The dear little fellow did not understand keeping things back, and when his papa was giving him his nightly sugar-plum, he said, "Blue man gave me a great striped sweet, and it stuck in my little teeth"; and then, when we asked when and where, he said, "Down by Betty's, when I was out with Cea and Louie"; and so it came out that she had taken him into the village, met this man, brought him into the grounds by the little gate, and tried to bribe Mite to say nothing about it.
But one last effort as they dragged me down 'If two straight lines cut one another, I said, 'the opposite angles are equal. Also CEA, AED equal two right angles. I moved towards the door to get the revolver; a hideous exultation arose among the beasts. 'But the angle CEA is common, therefore AED equals CEB. In the same way CEA equals DEB. QED. It was proved.
It was the fashion among them to attend the classes, Bible and secular, put in their way, and their employers conscientiously attended to their welfare, so that Rose was by no means an unfitting companion for the High School maiden, and they most happily compared notes over their very different lives, when they were not engaged in playing with little Cea, as the unwieldy name of Miss Morton's protegee had been softened.
Cea told us all about it, the little girl who lives with Miss Morton. Of course we could never let him go out with her again, and you would hardly believe what an amount of falsehoods she managed to tell Eden and me about it. 'Ah, if you had lived at Westhaven you would have found out that to be so particular is the way to make those girls fib, said Mrs. Morton. 'I hope not.
Then the point E in OC produced will have the motion EF perpendicular to OE, of a magnitude determined by producing OA to cut this perpendicular in F. But since the intersection E of the crank produced is to be with a vertical line through the other end of the rod, the instantaneous axis has a motion which, so far as it depends upon the movement of C only, is in the direction DE. Therefore EF is a component, whose resultant EG is found by drawing FG perpendicular to EF. Now D is moving to the left with a velocity which may be determined either by drawing through A a perpendicular to CD, and through C a horizontal line to cut this perpendicular in H, or by making the angle DEI equal to the angle CEA, giving on DO the distance DI, equal to CH. Make EK = DI or CH, complete the rectangle KEGL, and its diagonal ES is, finally, the motion of the instantaneous axis.
'Oh, I know she might be sent to an industrial school if I took it before a magistrate, but if the other alternative would be destruction, that would be misery to her. See and there was a little tap at the door. 'Come in, Cea. There, make your curtsey to his lordship.
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