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In the Fifth Gift the child sees three and its multiples; in fractions, halves, quarters, eighths, thirds, ninths, and twenty-sevenths. With the Sixth, Seventh, and Eighth Gifts the field is practically unlimited. Second, as to the child's knowledge of form, size, and proportion.

Yet this particle of gas is a thinly populated world in comparison with a particle of metal. Take a cubic centimetre of copper. It is these minute and elusive particles that modern physics sets out to master. At first it was noticed that the atom of hydrogen was the smallest or lightest of all, and the other atoms seemed to be multiples of it.

Since chemists realised the meaning of Dalton's book, published in 1808, and entitled, A New System of Chemical Philosophy, elements have been regarded as distinct and definite substances, which have not been divided into parts different from themselves, and unite with each other in definite quantities by weight which can be accurately expressed as whole multiples of certain fixed quantities; and compounds have been regarded as distinct and definite substances which are formed by the union of, and can be separated into, quantities of various elements which are expressible by certain fixed numbers or whole multiples thereof.

For if two elements, A and B, form a compound, that compound is formed, by supposition, of one atom of A and one atom of B; if more of B is added, at least one atom of B must be added; however much of B is added the quantity must be a whole number of atoms; and as every atom of B is the same in all respects as every other atom of B, the weights of B added to a constant weight of A must be whole multiples of the atomic weight of B.

Notions of exact equality and of measure having been reached, there came to be definite ideas of relative magnitudes as being multiples one of another; whence the practice of measurement by direct apposition of a measure.

I doubt if that excuse would be accepted; at all events, I cannot accept yours." "But I hate fractions! The divisors and the multiples get all mixed up and go racing round in my head until I can't tell one from the other." "Bring your slate here." Mrs. Craven made room for her by the table. "Now, what is the trouble?"

Jamison said promptly, with the hypnotic smoothness of the practiced professional: "When this development has been completed, not only will messages be sent at multiples of the speed of light, but matter! Ships!

The weights of oxygen which combine with 4.66 parts by weight of nitrogen to form the second and third compounds, respectively, must be whole multiples of 2.66; these weights are 5.32 and 10.64. Now 5.32 = 2.66 x 2, and 10.64 = 2.66 x 4.

He'd destroyed the records and archives of the secret political police.... Many people on Tralee already blessed him, without knowing who he was. There might yet be hope of better days. But all things end, even journeys at excessively great multiples of the speed of light. The overdrive timer rang warning bells. Taped breakout notifications sounded from speakers throughout the ship.

The first climacteric is the seventh year of a man's life; the others are multiples of the first, as 21, 49, 56, 63, and 84, which two last are called the grand climacterics and the danger more certain.