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A voice within me cries, 'Go forth, Charles Honeyman, fight the good fight; wipe the tears of the repentant sinner; sing of hope to the agonised criminal; whisper courage, brother, courage, at the ghastly deathbed, and strike down the infidel with the lance of evidence and the shield of reason! In a pecuniary point of view I am confident, nay, the calculations may be established as irresistibly as an algebraic equation, that I can realise, as incumbent of Lady Whittlesea's chapel, the sum of not less than one thousand pounds per annum.
"I don't know what ails me," he muttered, as he turned away. He felt as he had when puzzling over the unknown quantity in an algebraic equation. It was not until he was sitting in meeting, looking forward at Lucina's fair profile, cut in clear curves like a lily, that the solution came to him. "I'm what they call in love," Jerome said to himself. He turned very pale, and looked away from Lucina.
"We will get hold of some family secret, but not of the immediate one which especially concerns us. Madame Duclos sent her daughter unattended to the museum, but she did not direct the shaft which killed her. That was the work of our friend X. Let us then make sure that we fit the right man to this algebraic symbol, and trust to her testimony to convict him."
"And that there's no other woman of high respectability in the parish capable of elevating her to the true principles of double and simple proportion?" "No, in throth, sir, I don't think there is." "Nor that can teach her the newest theories in dogmatic theology and metaphysics, together with the whole system of Algebraic Equations if the girl should require them?"
This algebraic notation shows that there is, not two, but only one thought in the antithesis; that it is made up of a thought and its expressed limit; and, therefore, that the so-called “law of contradictories” does not concern contradictories at all, in pure logic. This result was seen, though not clearly, by Dr.
The comparison is, indeed, exaggerated; but it often seems to me, in unrolling a compact Latin sentence, as if I were writing out in words the meaning of an algebraic formula. A single word often requires three or four as its English equivalent. Yet the language is not made obscure by compression.
But his words, if dry, are always manly and honest; there dwells in his pages a spirit of highly abstract joy, plucked naked like an algebraic symbol but still joyful; and the reader will find there a caput mortuum of piety, with little indeed of its loveliness, but with most of its essentials; and these two qualities make him a wholesome, as his intellectual vigour makes him a bracing, writer.
A great improvement had to be made, and this was effected not by English, but by continental mathematicians. The latter saw, clearly, that it was impossible to effect the required solution by the geometrical mode of reasoning employed by Newton. The problem, as it presented itself to their minds, was to find algebraic expressions for the positions of the planets at any time.
How much admixture of pain is called for to reduce the value of a pleasure to zero? and how much pleasure, added to a pain, will make the whole emotional state predominantly a pleasurable one? A disagreeable taste and an agreeable odor may be experienced together, but they cannot be treated as an algebraic sum.
But every one who knows anything of educational science knows, that by the simple expedient of throwing overboard all that non-educational, mind- sickening and complex rubbish about money and weights and measures, practice, interest, "rule of three," and all the rest of the solemn clap-trap invented by the masters of the old Academy for Young Gentlemen to fool the foolish predecessors of those who clamour for commercial education to-day, and by setting aside the pretence in teaching geometry, that algebraic formulae and the decimal notation are not yet invented, little boys of nine may be got to apply quadratic equations to problems, plot endless problems upon squared paper, and master and apply the geometry covered by the earlier books of Euclid with the utmost ease.
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