A Mathematical Problem Poem Rhyme Scheme and Analysis

Rhyme Scheme: AA BBC DDBBEEC AA DDFFDDFFCCAACDDGG FDFDHADADAGGIIJFJFFD DFFFGGACCA KCCCCAAADDACC

This is now this was erstA
Proposition the first and Problem the firstA
-
I-
On a given finite LineB
Which must no way inclineB
To describe an equiC
lateral Tri-
A N G L ED
Now let A BD
Be the given lineB
Which must no way inclineB
The great MathematicianE
Makes this RequisitionE
That we describe an EquiC
lateral Tri-
angle on itA
Aid us Reason aid us WitA
-
II-
From the centre A at the distance A BD
Describe the circle B C DD
At the distance B A from B the centreF
The round A C E to describe boldly ventureF
Third Postulate seeD
And from the point CD
In which the circles make a potherF
Cutting and slashing one anotherF
Bid the straight lines a journeying goC
C A C B those lines will showC
To the points which by A B are reckon'dA
And postulate the secondA
For Authority ye knowC
A B CD
Triumphant shall beD
An Equilateral TriangleG
Not Peter Pindar carp not Zoilus can wrangleG
-
III-
Because the point A is the centreF
Of the circular B C DD
And because the point B is the centreF
Of the circular A C ED
A C to A B and B C to B AH
Harmoniously equal for ever must stayA
Then C A and B CD
Both extend the kind handA
To the basis A BD
Unambitiously join'd in Equality's BandA
But to the same powers when two powers are equalG
My mind forbodes the sequelG
My mind does some celestial impulse teachI
And equalises each to eachI
Thus C A with B C strikes the same sure allianceJ
That C A and B C had with A B beforeF
And in mutual affianceJ
None attempting to soarF
Above anotherF
The unanimous threeD
C A and B C and A BD
All are equal each to his brotherF
Preserving the balance of power so trueF
Ah the like would the proud Autocratorix doF
At taxes impending not Britain would trembleG
Nor Prussia struggle her fear to dissembleG
Nor the Mah'met sprung WightA
The great MussulmanC
Would stain his DivanC
With Urine the soft flowing daughter of FrightA
-
IVK
But rein your stallion in too daring NineC
Should Empires bloat the scientific lineC
Or with dishevell'd hair all madly do ye runC
For transport that your task is doneC
For done it is the cause is triedA
And Proposition gentle MaidA
Who soothly ask'd stern Demonstration's aidA
Has prov'd her right and A B CD
Of Angles threeD
Is shown to be of equal sideA
And now our weary steed to rest in fineC
'Tis rais'd upon A B the straight the given lineC

Samuel Taylor Coleridge



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