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But then; during this time; I had removed the working of mirrors

from mere chance to a fair amount of certainty。  By bringing my

mathematical knowledge to bear on the subject; I had devised a

method of testing and measuring my work which; I am happy to say;

has been fairly successful; and has enabled me to produce the

spherical; elliptic; parabolic; or hyperbolic curve in my

mirrors; with almost unvarying success。  The study of the

practical working of specula and lenses has also absorbed a good

deal of my spare time during the last two years; and the work

involved has been scarcely less difficult。  Altogether; I

consider this last year (1882…3) to mark the busiest period of my

life。



〃It will be observed that I have only given an account of those

branches of study in which I have put to practical test the

deductions from theoretical reasoning。  I am at present engaged

on the theory of the achromatic object…glass; with regard to

spherical chromatisma subject upon which; I believe; nearly all

our text…books are silent; but one nevertheless of vital

importance to the optician。  I can only proceed very slowly with

it; on account of having to grind and figure lenses for every

step of the theory; to keep myself in the right track; as mere

theorizing is apt to lead one very much astray; unless it be

checked by constant experiment。  For this particular subject;

lenses must be ground firstly to spherical; and then to curves of

conic sections; so as to eliminate spherical aberration from each

lens; so that it will be observed that this subject is not

without its difficulties。



〃About a month ago (September; 1883); I determined to put to the

test the statement of some of our theorists; that the surface of

a rotating fluid is either a parabola or a hyperbola。  I found by

experiment that it is neither; but an approximation to the

tractrix (a modification of the catenary); if anything definite;

as indeed one; on thinking over the matter; might feel certain it

would bethe tractrix being the curve of least friction。



〃In astronomy; I have really done very little beyond mere

algebraical working of the fundamental theorems; and a little

casual observation of the telescope。  So far; I must own; I have

taken more pleasure in the theory and construction of the

telescope; than in its use。〃



Such is Samuel Lancaster's history of the growth and development

of his mind。  I do not think there is anything more interesting

in the 'Pursuit of Knowledge under Difficulties。' His life has

been a gallant endeavour to win further knowledge; though too

much at the expense of a constitution originally delicate。  He

pursues science with patience and determination; and wooes truth

with the ardour of a lover。  Eulogy of his character would here

be unnecessary; but; if he takes due care of his health; we shall

hear more of him。'11'



More astronomers in humble life!  There seems to to be no end of

them。  There must be a great fascination in looking up to the

heavens; and seeing those wondrous worlds careering in the

far…off infinite。  Let me look back to the names I have

introduced in this chapter of autobiography。  First; there was my

worthy porter friend at Coupar Angus station; enjoying himself

with his three…inch object…glass。  Then there was the shoemaker

and teacher; and eventually the first…rate maker of achromatic

instruments。  Look also at the persons whom he supplied with his

best telescopes。  Among them we find princes; baronets;

clergymen; professors; doctors; solicitors; manufacturers; and

inventors。  Then we come to the portrait painter; who acquired

the highest supremacy in the art of telescope making; then to Mr。

Lassell; the retired brewer; whose daughters presented his

instrument to the nation; and; lastly; to the extraordinary young

schoolmaster of Bainbridge; in Yorkshire。  And now before I

conclude this last chapter; I have to relate perhaps the most

extraordinary story of allthat of another astronomer in humble

life; in the person of a slate counter at Port Penrhyn; Bangor;

North Wales。



While at Birnam; I received a letter from my old friend the Rev。

Charles Wicksteed; formerly of Leeds; calling my attention to

this case; and inclosing an extract from the letter of a young

lady; one of his correspondents at Bangor。  In that letter she

said: 〃What you write of Mr。 Christmas Evans reminds me very much

of a visit I paid a few evenings ago to an old man in Upper

Bangor。  He works on the Quay; but has a very decided taste for

astronomy; his leisure time being spent in its study; with a

great part of his earnings。  I went there with some friends to

see an immense telescope; which he has made almost entirely

without aid; preparing the glasses as far as possible himself;

and sending them away merely to have their concavity changed。  He

showed us all his treasures with the greatest delight; explaining

in English; but substituting Welsh when at a loss。  He has

scarcely ever been at school; but has learnt English entirely

from books。  Among other things he showed us were a Greek

Testament and a Hebrew Bible; both of which he can read。  His

largest telescope; which is several yards long; he has named

'Jumbo;' and through it he told us he saw the snowcap on the pole

of Mars。  He had another smaller telescope; made by himself; and

had a spectroscope in process of making。  He is now quite old;

but his delight in his studies is still unbounded and unabated。 

It seems so sad that he has had no right opportunity for

developing his talent。〃



Mr。 Wicksteed was very much interested in the case; and called my

attention to it; that I might add the story to my repertory of

self…helping men。  While at York I received a communication from

Miss Grace Ellis; the young lady in question; informing me of the

name of the astronomerJohn Jones; Albert Street; Upper

Bangorand intimating that he would be glad to see me any

evening after six。  As railways have had the effect of bringing

places very close together in point of timemaking of Britain;

as it were; one great townand as the autumn was brilliant; and

the holiday season not at an end; I had no difficulty in

diverging from my journey; and taking Bangor on my way homeward。 

Starting from York in the morning; and passing through Leeds;

Manchester; and Chester; I reached Bangor in the afternoon; and

had my first interview with Mr。 Jones that very evening。



I found him; as Miss Grace Ellis had described; active; vigorous;

and intelligent; his stature short; his face well…formed; his

eyes keen and bright。  I was first shown into his little parlour

downstairs; furnished  with his books and some of his

instruments; I was then taken to his tiny room upstairs; where he

had his big reflecting telescope; by means of which he had seen;

through the chamber window; the snowcap of Mars。  He is so fond

of philology that I found he had no fewer than twenty…six

dictionaries; all bought out of his own earnings。  〃I am fond of

all knowledge;〃 he said〃of Reuben; Dan; and Issachar; but I

have a favourite; a Benjamin; and that is Astronomy。  I would

sell all of them into Egypt; but preserve my Benjamin。〃  His

story is briefly as follows:



〃I was born at Bryngwyn Bach; Anglesey; in 1818; and I am

sixty…five years old。  I got the little education I have; when a

boy。  Owen Owen; who was a cousin of my mother's; kept a school

at a chapel in the village of Dwyrain; in Anglesey。  It was said

of Owen that he never had more than a quarter of a year's

schooling; so that he could not teach me much。  I went to his

school at seven; and remained with him about a year。  Then he

left; and some time afterwards I went for a short period to an

old preacher's school; at Brynsieneyn chapel。  There I learnt but

little; the teacher being negligent。  He allowed the children to

play together too much; and he punished them for slight offences;

making them obstinate and disheartened。  But I remember his once

saying to the other children; that I ran through my little lesson

'like a coach。' However; when I was about twelve years old; my

father died; and in losing him I lost almost all the little I had

learnt during the short periods I had been at school。  Then I

went to work for the farmers。



〃In this state of ignorance I remained for years; until the time

came when on Sunday I used to saddle the old black mare for

Cadwalladr Williams; the Calvinist Methodist preacher; at Pen

Ceint; Anglesey; and after he had ridden away; I used to hide in

his library during the sermon; and there I learnt a little that I

shall not soon forget。  In that way I had many a draught of

knowledge; as it were; by stealth。  Having a strong taste for

music; I was much attracted by choral singing; and on Sundays and

in the evenings I tried to copy out airs from different books;

and accustomed my hand a little to writing。  This tendency was;

however; choked within me by too much work with the cattle; and

by other farm labour。  In a word; I had but little fair weather

in my search for knowledge。  One thing enticed me from another;

to the detriment of my plans; some fair Eve often standing with

an apple in hand; tempting me to taste of that。



〃The old preacher's books at Pen Ceint were in Welsh。  I had not

yet learned English; but tried to learn it by comparing one line

in the English New Testament with the same line in the Welsh。 

This was the Hamiltonian method; and the way in which I learnt

most languages。  I first got an idea of astronomy from reading

'The Solar System;' by Dr。 Dick; translated into Welsh by Eleazar

Roberts of Liverpool。  That book I found on Sundays in the

preacher's library; and many a sublime thought it gave me。  It

was comparatively easy to understand。



〃When I was about thirty I was taken very ill; and could no

longer work。  I then went to Bangor to consult Dr。 Humphrys。 

After I

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