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It was illustrated from his own sketches, for he had inherited that gift from his father. Being often controversial in tone, and not always accurate in description, it provoked numerous criticisms, though not of the sort which interfere with success. In everything Froude wrote, though least of all in his History, allowance has to be made for the personal equation.

Ultramundane society has its left and its right: it is time for the equation to be completed; for this mystical hierarchy to descend upon earth and appear in its real character. When Milton represents the first woman admiring herself in a fountain, and lovingly extending her arms toward her own image as if to embrace it, he paints, feature for feature, the human race.

The truth is that this personal equation, as we call it, in each cannot be made the subject of mathematical calculation. Human relations will not bend to it. And yet we keep blundering along as if they would. We are always sure, in our letter of introduction, that this friend will be congenial to the other, because we are fond of both.

If for nearly a hundred years equation was considered complete, until we found that one side was incomplete, and arrived at the more complete equation , the question may well be raised: Is equation complete, dealing as it does with two entities, matter and energy, or is it not possibly still incomplete, and a third entity should appear in the equation, an entity "X," as I may call it, differing from energy and from matter, just as energy and matter differ from each other, and therefore not recognizable and measurable by the means which measure energy or matter, just as energy cannot be measured by the same means as matter?

I in that syllable lies the whole history of each human life; in that history lives the individuality; in the clear and true conception of that individuality dwells such joint foreknowledge of the future as we can have, such vague solution as to us is possible of that vast equation in which all quantities are unknown save that alone, that I which we know as we can know nothing else.

"It is very gratifying," he said, "to find these conditions at this hour of the day. I felt a little more uneasy this morning than I confessed." He nodded in satisfactory thought. "I grant you medicine is not an exact science, it is an art, an art. You can't prescribe by hard and fast rules. You must take into consideration the personal equation."

Now, after thirty-seven years, I find that every ode of Horace, every chapter of Caesar, every line of Virgil I learned at school lies as a sprig of lavender in the folds of my memory but I cannot even set and work out a common equation, or add up a sum in compound addition correctly. I beg the pardon of the reader for this digression.

He determined the inequality of the sun and the place of its apogee, as well as its mean motion; the mean motion of the moon, of its nodes and apogee; the equation of the moon's centre, and the inclination of its orbit. He calculated eclipses of the moon, and used them for the correction of his lunar tables, and he had an approximate knowledge of parallax."

Altogether, looking back on my own experiences, I can at this time of writing think of but two common commodities which, when grade is taken into the equation, are found to be radically cheaper in Europe than in America these two things being taxicabs and counts.

And with this equation in mind the reader must consider the use to which, when obtained, he will apply his faculty; for the virtue of everything is in its use. It is reasonable to presume that one's daily life can supply the true answer.