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Updated: May 23, 2025
"D and H intertwined" we answered in chorus. At this the guide laughed merrily and explained that there were different opinions about the monogram; some persons said that King Henry had boldly undertaken to interlace the initial letters of Catherine and Diane with his own, but he for his part believed that the letters were two Cs with an H between them and, whether by accident or design, the letter on the left, which looked more like a D than a C, gave the key to the monogram, "and this," he added with the air of a philosopher, "made it true to history; the beautiful favorite on the left hand was always more powerful than the Queen on the right, not that the ways of King Henry II were to be commended; but," with a frank smile, "one is always pleased to think of that wicked woman getting what was owing her."
This, then, being thus disposed, and taking CM at 100,000 parts, I found by the calculation which will be given at the end, the semi-major diameter CP to be 105,032, and the semi-axis CS to be 93,410, the ratio of which numbers is very nearly 9 to 8; so that the spheroid was of the kind which resembles a compressed sphere, being generated by the revolution of an ellipse about its smaller diameter.
Let it be proposed to find the surface generated by the revolution of the curve KDE, which, receiving the incident rays coming to it from the point A, shall deviate them toward the point B. Then considering this other curve as already known, and that its apex D is in the straight line AB, let us divide it up into an infinitude of small pieces by the points G, C, F; and having drawn from each of these points, straight lines towards A to represent the incident rays, and other straight lines towards B, let there also be described with centre A the arcs GL, CM, FN, DO, cutting the rays that come from A at L, M, N, O; and from the points K, G, C, F, let there be described the arcs KQ, GR, CS, FT cutting the rays towards B at Q, R, S, T; and let us suppose that the straight line HKZ cuts the curve at K at right-angles.
"Mummy or no," said Julian, "he'll carry all our provisions and plaids to-day up to the top, which is more than most of your A Cs would do." "A C what does that mean?" asked Violet. "One sees it constantly in the visitors' books." "Don't you know, Vi?" said Cyril. "It stands for athletic climber." "Alpine Club, you little monkey," said Kennedy, throwing a fir-cone at him.
So, five minutes later, when all her clothing save her heavy outer skirt, had been quite dried there by the fire, and that same fire's abounding warmth had sent his temperature up to high discomfort mark, they sat down, side by side, upon a log, the spelling-book between them, and he began the pleasant task of teaching her her A, B, Cs. "'A," said he, "is this one at the very start."
To find the length of the line N, in proportion to CP, CS, CG, it must be determined by observations of the irregular refraction which occurs in this section of the crystal; and I find thus that the ratio of N to GC is just a little less than 8 to 5.
The direction of AB is the line of apses. The ratio of CS to CA is the excentricity. The angle ASP is the anomaly when the planet is at P. CA or a line drawn from S to D is the mean distance of the planet from the sun. The ruled logarithmic paper we now use was not then to be had by going into a stationer's shop. Else he would have accomplished this in five minutes.
About 1050 a revival of intellectual pursuits began in some parts of Europe, and from that time it may be said that the Renaissance, or new birth of art and letters, was in its A B Cs, or very smallest beginnings.
They used to do my house-work for me. I would do each special thing for them from cleaning, scrubbing, washing, cooking to sewing, fancy work, &c. and they would rival each other in learning to follow me. They would feel as proud when they could perform some simple little work, as a child feels when he has learned his A. B. Cs.
Of every twelve things which are As, all except four are Bs by the supposition; and if the whole twelve, and consequently those four, have the characters of C likewise, three of these will be Bs on that ground. Therefore, out of twelve which are both As and Cs, eleven are Bs.
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