Mathematical Problem

  1. 1If Pegasus will let thee only ride him,
  2. 2Spurning my clumsy efforts to o'erstride him,
  3. 3Some fresh expedient the Muse will try,
  4. 4And walk on stilts, although she cannot fly.
DEAR BROTHER, I have often been surprised that Mathematics, the quintessence of Truth, should have found admirers so few and so languid. Frequent consideration and minute scrutiny have at length unravelled the cause; viz. that though Reason is feasted, Imagination is starved; whilst Reason is luxuriating in its proper Paradise, Imagination is wearily travelling on a dreary desert. To assist Reason by the stimulus of Imagination is the design of the following production. In the execution of it much may be objectionable. The verse (particularly in the introduction of the ode) may be accused of unwarrantable liberties, but they are liberties equally homogeneal with the exactness of Mathematical disquisition, and the boldness of Pindaric daring. I have three strong champions to defend me against the attacks of Criticism: the Novelty, the Difficulty, and the Utility of the work. I may justly plume myself that I first have drawn the nymph Mathesis from the visionary caves of abstracted idea, and caused her to unite with Harmony. The first-born of this Union I now present to you; with interested motives indeed--as I expect to receive in return the more valuable offspring of your Muse. Thine Ever S.T.C.
  1. 5This is now--this was erst,
  2. 6Proposition the first--and Problem the first.
  1. 7On a given finite line
  2. 8Which must no way incline;
  3. 9To describe an equi--
  4. 10--lateral Tri--
  5. 11--A, N, G, L, E.
  6. 12Now let A. B.
  7. 13Be the given line
  8. 14Which must no way incline;
  9. 15The great Mathematician
  10. 16Makes this Requisition,
  11. 17That we describe an Equi--
  12. 18--lateral Tri--
  13. 19--angle on it:
  14. 20Aid us, Reason--aid us, Wit!
  1. 21From the centre A. at the distance A. B.
  2. 22Describe the circle B. C. D.
  3. 23At the distance B. A. from B. the centre
  4. 24The round A. C. E. to describe boldly venture.
  5. 25(Third postulate see.)
  6. 26And from the point C.
  7. 27In which the circles make a pother
  8. 28Cutting and slashing one another,
  9. 29Bid the straight lines a journeying go.
  10. 30C. A. C. B. those lines will show.
  11. 31To the points, which by A. B. are reckon'd,
  12. 32And postulate the second
  13. 33For Authority ye know.
  14. 34A. B. C.
  15. 35Triumphant shall be
  16. 36An Equilateral Triangle,
  17. 37Not Peter Pindar carp, nor Zoilus can wrangle.
  1. 38Because the point A. is the centre
  2. 39Of the circular B. C. D.
  3. 40And because the point B. is the centre
  4. 41Of the circular A. C. E.
  5. 42A. C. to A. B. and B. C. to B. A.
  6. 43Harmoniously equal for ever must stay;
  7. 44Then C. A. and B. C.
  8. 45Both extend the kind hand
  9. 46To the basis, A. B.
  10. 47Unambitiously join'd in Equality's Band.
  11. 48But to the same powers, when two powers are equal,
  12. 49My mind forbodes the sequel;
  13. 50My mind does some celestial impulse teach,
  14. 51And equalises each to each.
  15. 52Thus C. A. with B. C. strikes the same sure alliance,
  16. 53That C. A. and B. C. had with A. B. before;
  17. 54And in mutual affiance
  18. 55None attempting to soar
  19. 56Above another,
  20. 57The unanimous three
  21. 58C. A. and B. C. and A. B.
  22. 59All are equal, each to his brother,
  23. 60Preserving the balance of power so true:
  24. 61Ah! the like would the proud Autocratrix do!
  25. 62At taxes impending not Britain would tremble,
  26. 63Nor Prussia struggle her fear to dissemble;
  27. 64Nor the Mah'met-sprung Wight
  28. 65The great Mussulman
  29. 66Would stain his Divan
  30. 67With Urine the soft-flowing daughter of Fright.
  1. 68But rein your stallion in, too daring Nine!
  2. 69Should Empires bloat the scientific line?
  3. 70Or with dishevell'd hair all madly do ye run
  4. 71For transport that your task is done?
  5. 72For done it is--the cause is tried!
  6. 73And Proposition, gentle Maid,
  7. 74Who soothly ask'd stern Demonstration's aid,
  8. 75Has proved her right, and A. B. C.
  9. 76Of Angles three
  10. 77Is shown to be of equal side;
  11. 78And now our weary steed to rest in fine,
  12. 79'Tis rais'd upon A. B. the straight, the given line.