Micrographia — Observ. IX. (part 2)

Let us suppose therefore ABC in the second Figure to represent a large _Chemical Glass-body_ about two foot long, filled with very fair Water as high as AB, and inclin’d in a convenient posture with B towards the Sun: Let us further suppose the top of it to be cover’d with an _opacous_ body, all but the hole ab, through which the Sun-beams are suffer’d to pass into the Water, and are thereby refracted to cdef, against which part, if a Paper be expanded on the outside, there will appear all the colours of the Rainbow, that is, there will be generated the two principal colours, _Scarlet_ and _Blue_, and all the _intermediate_ ones which arise from the composition and dilutings of these two, that is, cd shall exhibit a _Scarlet_, which toward d is diluted into a _Yellow_; this is the refraction of the Ray, ik, which comes from the underside of the Sun; and the Ray ef shall appear of a deep _Blue_, which is gradually towards e diluted into a pale _Watchet-blue_.

Between d and e the two _diluted_ colours.

_Blue_ and _Yellow_ are mixt and compounded into a _Green_; and this I imagine to be the reason why _Green_ is so acceptable a colour to the eye, and that either of the two extremes are, if intense, rather a little offensive, namely, the being plac’d in the middle between the two extremes, and compounded out of both those, _diluted_ also, or somewhat qualifi’d, for the _composition_, arising from the mixture of the two extremes _undiluted_, makes a _Purple_, which though it be a lovely colour, and pretty acceptable to the eye, yet is it nothing comparable to the ravishing pleasure with which a curious and well tempered _Green_ affects the eye.

If removing the Paper, the eye be plac’d against cd, it will perceive the lower side of the Sun (or a Candle at night which is much better, because it offends not the eye, and is more easily manageable) to be of a deep _Red_, and if against ef it will perceive the upper part of the luminous body to be of a deep _Blue_; and these colours will appear deeper and deeper, according as the Rays from the luminous body fall more _obliquely_ on the surface of the Water, and thereby suffer a greater refraction, and the more distinct, the further cdef is removed from the trajecting hole.

So that upon the whole, we shall find that the reason of the _Phænomena_ seems to depend upon the _obliquity_ of the _orbicular pulse_, to the Lines of Radiation, and in particular, that the Ray cd which constitutes the _Scarlet_ has its inner parts, namely those which are next to the middle of the luminous body, precedent to the outermost which are contiguous to the dark and _unradiating_ skie.

And that the Ray ef which gives a _Blue_, has its outward part, namely, that which is contiguous to the dark skie precedent to the pulse from the innermost, which borders on the bright _area_ of the luminous body.

We may observe further, that the cause of the _diluting_ of the colours towards the middle, proceeds partly from the wideness of the hole through which the Rays pass, whereby the Rays from several parts of the luminous body, fall upon many of the same parts between c and f as is more manifest by the Figure: And partly also from the nature of the refraction it self, for the vividness or strength of the two terminating colours, arising chiefly as we have seen, from the very great difference that is betwixt the outsides of those _oblique undulations_ & the dark Rays circumambient, and that disparity betwixt the _approximate_ Rays, decaying gradually: the further inward toward the middle of the luminous body they are remov’d, the more must the colour approach to a white or an undisturbed light.

Upon the calculation of the refraction and reflection from a Ball of Water or Glass, we have much the same _Phænomena_, namely, an _obliquity_ of the undulation in the same manner as we have found it here.

Which, because it is very much to our present purpose, and affords such an _Instancia crucis_, as no one that I know has hitherto taken notice of, I shall further examine.

For it does very plainly and positively distinguish, and shew, which of the two _Hypotheses_, either the _Cartesian_ or this is to be followed, by affording a generation of all the colors in the Rainbow, where according to the _Cartesian Principles_ there should be none at all generated.

And secondly, by affording an instance that does more closely confine the cause of these _Phænomena_ of colours to this present _Hypothesis_.

And first, for the _Cartesian_, we have this to object against it, That whereas he says (_Meteorum Cap.

8. Sect.

5. _) _Sed judicabam unicam (refractione scilicet) ad minimum requiri, & quidem talem ut ejus effectus aliâ contrariâ (refractione) non destruatur: Nam experientia docet si superficies _NM_ & _NP_ (nempe refringentes) Parallelæ forent, radios tantundem per alteram iterum erectos quantum per unam frangerentur, nullos colores depicturos_; This Principle of his holds true indeed in a prisme where the refracting surfaces are plain, but is contradicted by the Ball or Cylinder, whether of Water or Glass, where the refracting surfaces are Orbicular or Cylindrical.

For if we examine the passage of any _Globule_ or Ray of the primary _Iris_, we shall find it to pass out of the Ball or Cylinder again, with the same inclination and refraction that it enter’d in withall, and that that last refraction by means of the _intermediate_ reflection shall be the same as if without any reflection at all the Ray had been twice refracted by two Parallel surfaces.

And that this is true, not onely in one, but in every Ray that goes to the constitution of the Primary Iris; nay, in every Ray, that suffers only two refractions, and one reflection, by the surface of the round body, we shall presently see most evident, if we repeat the _Cartesian Scheme_, mentioned in the tenth _Section_ of the eighth _Chapter_ of his _Meteors_, where EFKNP in the third Figure[9] is one of the Rays of the Primary Iris, twice refracted at F and N, and once reflected at K by the surface of the Water-ball.

For, first it is evident, that KF and KN are equal, because KN being the reflected part of KF they have both the same inclination on the surface K that is the angles FKT, and NKV made by the two Rays and the Tangent of K are equal, which is evident by the Laws of reflection; whence it will follow also, that KN has the same inclination on the surface N, or the Tangent of it XN that the Ray KF has to the surface F, or the Tangent of it FY, whence it must necessarily follow, that the refractions at F and N are equal, that is, KFE and KNP are equal.

Now, that the surface N is by the reflection at K made parallel to the surface at F, is evident from the principles of reflection; for reflection being nothing but an inverting of the Rays, if we re-invert the Ray KNP, and make the same inclinations below the line TKV that it has above, it will be most evident, that KH the inverse of KN will be the continuation of the line FK, and that LHI the inverse of OX is parallel to FY.

And HM the inverse of NP is Parallel to EF for the angle KHI is equal to KNO which is equal to KFY, and the angle KHM is equal to KNP which is equal to KFE which was to be prov’d. So that according to the above mentioned _Cartesian_ principles there should be generated no colour at all in a Ball of Water or Glass by two refractions and one reflection, which does hold most true indeed, if the surfaces be plain, as may be experimented with any kind of prisme where the two refracting surfaces are equally inclin’d to the reflecting; but in this the _Phænomena_ are quite otherwise.

The cause therefore of the generation of colour must not be what _Des Cartes_ assigns, namely, a certain _rotation_ of the _Globuli ætherei_, which are the particles which he supposes to constitute the _Pellucid medium_, But somewhat else, perhaps what we have lately supposed, and shall by and by further prosecute and explain.

But, First I shall crave leave to propound some other difficulties of his, notwithstanding exceedingly ingenious _Hypothesis_, which I plainly confess to me seem such; and those are, First, if that light be (as is affirmed, _Diopt.

_ cap.

1. §.

8. ) not so properly a motion, as an action or propension to motion, I cannot conceive how the eye can come to be sensible of the _verticity_ of a _Globule_, which is generated in a drop of Rain, perhaps a mile off from it.

For that _Globule_ is not carry’d to the eye according to his formerly recited Principle; and if not so, I cannot conceive how it can communicate its _rotation_, or circular motion to the line of the _Globules_ between the drop and the eye.

It cannot be by means of every ones turning the next before him; for if so, then onely all the _Globules_ that are in the odd places must be turned the same way with the first, namely, the 3. 5. 7. 9. 11, &c. but all the _Globules_ interposited between them in the even places; namely, the 2. 4. 6. 8. 10. &c. must be the quite contrary, whence, according to the _Cartesian Hypothesis_, there must be no distinct colour generated, but a confusion.

Next, since the _Cartesian Globuli_ are suppos’d (_Principiorum Philosoph.

_ Part.

3. §.

86. ) to be each of them continually in motion about their centers, I cannot conceive how the eye is able to distinguish this new generated motion from their former inherent one, if I may so call that other wherewith they are mov’d or _turbinated_, from some other cause than refraction.

And thirdly, I cannot conceive how these motions should not happen sometimes to oppose each other, and then, in stead of a _rotation_, there would be nothing but a direct motion generated, and consequently no colour.

And fourthly, I cannot conceive, how by the _Cartesian Hypothesis_ it is possible to give any plausible reason of the nature of the Colours generated in the thin _laminæ_ of these our _Microscopical Observations_; for in many of these, the refracting and reflecting surfaces are parallel to each other, and consequently no _rotation_ can be generated, nor is there any necessity of a shadow or termination of the bright Rays, such as is suppos’d (_Chap.

_ 8. §.

5. _Et præterea observavi umbram quoque, aut limitationem luminis requiri:_ and _Chap.

_ 8. §.

9. ) to be necessary to the generation of any distinct colours; Besides that, here is oftentimes one colour generated without any of the other appendant ones, which cannot be by the _Cartesian Hypothesis_.

There must be therefore some other propriety of refraction that causes colour.

And upon the examination of the thing, I cannot conceive any one more general, inseparable, and sufficient, than that which I have before assign’d. That we may therefore see how exactly our _Hypothesis_ agrees also with the _Phænomena_ of the refracting round body, whether _Globe_ or _Cylinder_, we shall next subjoyn our _Calculation_ or _Examen_ of it.

And to this end, we will calculate any two Rays: as for instance;[10] let EF be a Ray cutting the _Radius_ CD (divided into 20. parts) in G 16. parts distant from C, and ef another Ray, which cuts the same _Radius_ in g 17. parts distant, these will be refracted to K and k, and from thence reflected to N and n, and from thence refracted toward P and p; therefore the Arch Ff will be 5. d 5′.

The Arch FK 106. d 30′.

the Arch fk 101. d 2′.

The line FG 6000. and fg 5267. therefore hf.

733. therefore Fc 980, almost.

The line FK 16024. and fk 15436. therefore Nd 196. and no 147 almost, the line Nn 1019 the Arch Nn 5. d 51′.

therefore the Angle Nno is 34. d 43′.

therefore the Angle Non is 139. d 56′.

which is almost 50. d more than a right Angle.

It is evident therefore by this _Hypothesis_, that at the same time that ef touches f. EF is arrived at c. And by that time efkn is got to n, EFKN is got to d and when it touches N, the pulse of the other Ray is got to o. and no farther, which is very short of the place it should have arriv’d to, to make the Ray np to cut the _orbicular pulse_ No at right Angles: therefore the Angle Nop is an acute Angle, but the quite contrary of this will happen, if 17. and 18. be calculated in stead of 16. and 17. both which does most exactly agree with the _Phænomena_: For if the Sun, or a Candle (which is better) be placed about Ee, and the eye about Pp, the Rays EFef at 16. and 17. will paint the side of the luminous object toward np _Blue_, and towards NP _Red_.

But the quite contrary will happen when EF is 17. and ef 18. for then towards NP shall be a _Blue_, and towards np a _Red_, exactly according to the calculation.

And there appears the _Blue_ of the Rainbow, where the two _Blue_ sides of the two Images unite, and there the _Red_ where the two _Red_ sides unite, that is, where the two Images are just disappearing; which is, when the Rays EF and NP produc’d till they meet, make an Angle of about 41. and an half; the like union is there of the two Images in the Production of the _Secundary Iris_, and the same causes, as upon calculation may appear; onely with this difference, that it is somewhat more faint, by reason of the duplicate reflection, which does always weaken the impulse the oftner it is repeated.

Now, though the second refraction made at Nn be convenient, that is, do make the Rays glance the more, yet is it not altogether requisite; for it is plain from the calculation, that the pulse dn is sufficiently _oblique_ to the Rays KN and kn, as wel as the pulse fc is _oblique_ to the Rays FK & fk.

And therefore if a piece of very fine Paper be held close against Nn and the eye look on it either through the Ball as from D, or from the other side, as from B. there shall appear a Rainbow, or colour’d line painted on it with the part toward X appearing _Red_, towards O, _Blue_; the same also shall happen, if the Paper be placed about Kk, for towards T shall appear a _Red_, and towards V a _Blue_, which does exactly agree with this my _Hypothesis_, as upon the calculation of the progress of the pulse will most easily appear.

Nor do these two observations of the colours appearing to the eye about p differing from what they appear on the Paper at N contradict each other;

but rather confirm and exactly agree with one another, as will be evident to him that examines the reasons set down by the ingenious.

_Des Cartes_ in the 12. _Sect.

_ of the 8. _Chapter of his Meteors_, where he gives the true reason why the colours appear of a quite contrary order to the eye, to what they appear’d on the Paper if the eye be plac’d in steed of the Paper: And as in the Prisme, so also in the Water-drop, or Globe the _Phænomena_, and reason are much the same.

Having therefore shewn that there is such a propriety in the _prisme_ and water _Globule_ whereby the pulse is made _oblique_ to the progressive, and that so much the more, by how much greater the refraction is, I shall in the next place consider, how this conduces to the production of colours, and what kind of impression it makes upon the bottom of the eye; and to this end it will be requisite to examine this _Hypothesis_ a little more particularly.

First therefore, if we consider the manner of the progress of the pulse, it will seem rational to conclude, that that part or end of the pulse which precedes the other, must necessarily be somwhat more _obtunded_, or _impeded_ by the resistance of the transparent _medium_, than the other part or end of it which is subsequent, whose way is, as it were, prepared by the other; especially if the adjacent _medium_ be not in the same manner enlightned or agitated.

And therefore (in the fourth _Figure_ of the sixth _Iconism_) the Ray AAAHB will have its side HH more deadened by the resistance of the dark or quiet _medium_ PPP, Whence there will be a kind of deadness superinduc’d on the side HHH, which will continually increase from B, and strike deeper and deeper into the Ray by the line BR; Whence all the parts of the triangle, RBHO will be of a dead _Blue_ colour, and so much the deeper, by how much the nearer they lie to the line BHH, which is most deaded or impeded, and so much the more _dilute_, by how much the nearer it approaches the line BR.

Next on the other side of the Ray AAN, the end A of the pulse AH will be promoted, or made stronger, having its passage already prepar’d as ’twere by the other parts preceding, and so its impression wil be stronger; And because of its _obliquity_ to the Ray, there will be propagated a kind of faint motion into QQ the adjacent dark or quiet _medium_, which faint motion will spread further and further into QQ as the Ray is propagated further and further from A, namely, as far as the line MA, whence all the triangle MAN will be ting’d with a _Red_, and that _Red_ will be the deeper the nearer it approaches the line MA, and the _paler_ or _yellower_ the nearer it is the line NA.

And if the Ray be continued, so that the lines AN and BR (which are the bounds of the _Red_ and _Blue diluted_) do meet and cross each other, there will be beyond that intersection generated all kinds of _Greens_.

Now, these being the proprieties of every single refracted Ray of light, it will be easie enough to consider what must be the result of very many such Rays collateral: As if we suppose infinite such Rays _interjacent_ between AKSB and ANOB, which are the terminating: For in this case the Ray AKSB will have its _Red_ triangle intire, as lying next to the dark or quiet _medium_, but the other side of it BS will have no _Blue_, because the _medium adjacent_ to it SBO, is mov’d or enlightned, and consequently that light does destroy the colour.

So likewise will the Ray ANOB lose its _Red_, because the _adjacent medium_ is mov’d or enlightned, but the other side of the Ray that is _adjacent_ to the dark, namely, AHO will preserve its _Blue_ entire, and these Rays must be so far produc’d as till AN and BR cut each other, before there will be any _Green_ produc’d. From these Proprieties well consider’d, may be deduc’d the reasons of all the _Phænomena_ of the _prisme_, and of the _Globules_ or drops of Water which conduce to the production of the Rainbow.

Next for the impression they make on the _Retina_, we will further examine this _Hypothesis_: Suppose therefore ABCDEF, in the fifth _Figure_, to represent the Ball of the eye: on the _Cornea_ of which ABC two Rays GACH and KCAI (which are the terminating Rays of a luminous body) falling, are by the refraction thereof collected or _converg’d_ into two points at the bottom of the eye.

Now, because these terminating Rays, and all the _intermediate_ ones which come from any part of the luminous body, are suppos’d by some sufficient refraction before they enter the eye, to have their pulses made _oblique_ to their progression, and consequently each Ray to have potentially _superinduc’d_ two proprieties, or colours, viz.

a _Red_ on the one side, and a _Blue_ on the other, which notwithstanding are never actually manifest, but when this or that Ray has the one or the other side of it bordering on a dark or unmov’d _medium_, therefore as soon as these Rays are entred into the eye and so have one side of each of them bordering on a dark part of the humours of the eye, they will each of them actually exhibit some colour; therefore ADC the production of GACH will exhibit a _Blue_, because the side CD is _adjacent_ to the dark _medium_ CQDC, but nothing of a _Red_, because its side AD is _adjacent_ to the enlightned _medium_ ADFA: And all the Rays that from the points of the luminous body are collected on the parts of the _Retina_ between D and F shall have their _Blue_ so much the more _diluted_ by how much the farther these points of collection are distant from D towards F; and the Ray AFC the production of KCAI, will exhibit a _Red_, because the side AF is adjacent to the dark or quiet _medium_ of the eye APFA, but nothing of a _Blue_, because its side CF is _adjacent_ to the enlightned _medium_ CFDC, and all the Rays from the intermediate parts of the luminous body that are collected between F and D shall have their _Red_ so much the more diluted, by how much the farther they are distant from F towards D. Now, because by the refraction in the _Cornea_, and some other parts of the eye, the sides of each Ray, which before were almost parallel, are made to _converge_ and meet in a point at the bottom of the eye, therefore that side of the _pulse_ which preceded before these refractions, shall first touch the _Retina_, and the other side last.

And therefore according as this or that side, or end of the pulse shall be impeded, accordingly will the _impressions_ on the _Retina_ be varied; therefore by the Ray GACH refracted by the _Cornea_ to D there shall be on that point a stroke or impression confus’d, whose weakest end, namely, that by the line CD shall precede, and the stronger, namely, that by the line AD shall follow.

And by the Ray KCAI refracted to F, there shall be on that part a confus’d stroke or impression, whose strongest part, namely, that by the line CF shal precede, and whose weakest or impeded, namely, that by the line AF shall follow, and all the intermediate points between F and D will receive impressions from the _converg’d_ Rays so much the more like the impressions on F and D by how much the nearer they approach that or this.

From the consideration of the proprieties of which impressions, we may collect these short definitions of Colours: That _Blue is an impression on the Retina of an oblique and confus’d pulse of light, whose weakest part precedes, and whose strongest follows.

_ And, that _Red is an impression on the Retina of an oblique and confus’d pulse of light, whose strongest part precedes, and whose weakest follows.

_ Which proprieties, as they have been already manifested, in the Prisme and falling drops of Rain, to be the causes of the colours there generated, may be easily found to be the efficients also of the colours appearing in thin _laminated_ transparent bodies; for the explication of which, all this has been premised.

And that this is so, a little closer examination of the _Phænomena_ and the _Figure_ of the body, by this _Hypothesis_ will make evident.

For first (as we have already observed) the _laminated_ body must be of a determinate thickness, that is, it must not be thinner then such a determinate quantity; for I have always observ’d, that neer the edges of those which are exceeding thin, the colours disappear, and the part grows white; nor must it be thicker then another determinate quantity; for I have likewise observ’d, that beyond such a thickness, no colours appear’d, but the Plate looked white, between which two determinate thicknesses were all the colour’d Rings; of which in some substances I have found ten or twelve, in others not half so many, which I suppose depends much upon the transparency of the _laminated_ body.

Thus though the consecutions are the same in the scum or the skin on the top of metals; yet in those consecutions in the same colour is not so often repeated as in the consecutions in thin Glass, or in Sope-water, or any other more transparent and glutinous liquor; for in these I have observ’d, _Red, Yellow, Green, Blue, Purple; Red, Yellow, Green, Blue, Purple; Red, Yellow, Green, Blue, Purple; Red, Yellow, &c. _ to succeed each other, ten or twelve times, but in the other more _opacous_ bodies the consecutions will not be half so many.

And therefore secondly, the _laminated_ body must be transparent, and this I argue from this, that I have not been able to produce any colour at all with an _opacous_ body, though never so thin.

And this I have often try’d, by pressing small _Globule_ of _Mercury_ between two smooth Plates of Glass, whereby I have reduc’d that body to a much greater thinness then was requisite to exhibit the colours with a transparent body.

Thirdly, there must be a considerable reflecting body adjacent to the under or further side of the _lamina_ or _plate_: for this I always found, that the greater that reflection was, the more vivid were the appearing colours.

From which Observations, is most evident, that the reflection from the under or further side of the body is the principal cause of the production of these colours; which, that it is so, and how it conduces to that effect, I shall further explain in the following Figure, which is here described of a very great thickness, as if it had been view’d through the _Microscope_;

and ’tis indeed much thicker than any _Microscope_ (I have yet us’d) has been able to shew me those colour’d plates of Glass, or _Muscovie-glass_, which I have not without much trouble view’d with it, for though I have endeavoured to magnifie them as much as the Glasses were capable of, yet are they so exceeding thin, that I have not hitherto been able positively to determine their thickness.

This Figure therefore I here represent, is wholy _Hypothetical_.

Let ABCDHFE in the sixth Figure be a _frustum_ of _Muscovy-glass_, thinner toward the end AE, and thicker towards DF.

Let us first suppose the Ray aghb coming from the Sun, of some remote luminous object to fall _obliquely_ on the thinner plate BAE, part therefore is reflected back by cghd, the first _Superficies_; whereby the perpendicular pulse ab is after reflexion propagated by cd, cd, equally remote from each other with ab, ab, so that ag + gc, or bh + hd are either of them equal to aa, as is also cc, but the body BAE being transparent, a part of the light of this Ray is refracted in the surface AB, and propagated by gikh to the surface EF, whence it is reflected and refracted again by the surface AB.

So that after two refractions and one reflection, there is propagated a kind of fainter Ray emnf, whose pulse is not only weaker by reason of the two refractions in the surface AB, but by reason of the time spent in passing and repassing between the two surfaces AB and EF, ef which is this fainter or weaker pulse comes behind the pulse cd; so that hereby (the surfaces AB, and EF being so neer together, that the eye cannot _discriminate_ them from one) this confus’d or _duplicated_ pulse, whose strongest part precedes, and whose weakest follows, does produce on the _Retina_, (or the _optick nerve_ that covers the bottom of the eye) the sensation of a _Yellow_.

And secondly, this _Yellow_ will appear so much the deeper, by how much the further back towards the middle between cd and cd the spurious pulse ef is remov’d, as in 2 where the surface BC being further remov’d from EF, the weaker pulse ef will be nearer to the middle, and will make an impression on the eye of a _Red_.

But thirdly, if the two reflecting surfaces be yet further remov’d asunder (as in 3 CD and EF are) then will the weaker pulse be so farr behind, that it will be more then half the distance between cd and cd.

And in this case it will rather seem to precede the following stronger pulse, then to follow the preceding one, and consequently a _Blue_ will be generated.

And when the weaker pulse is just in the middle between two strong ones, then is a deep and lovely _Purple_ generated; but when the weaker pulse ef is very neer to cd, then is there generated a _Green_, which will be _bluer_, or _yellower_, according as the _approximate_ weak pulse does precede or follow the stronger.

Now fourthly, if the thicker Plate chance to be cleft into two thinner Plates, as CDFE is divided into two Plates by the surface GH then from the composition arising from the three reflections in the surfaces CD, GH, and EF, there will be generated several compounded or mixt colours, which will be very differing, according as the proportion between the thicknesses of those two divided Plates CDHG, and GHFE are varied.

And _fifthly_, if these surfaces CD and FE are further remov’d asunder, the weaker pulse will yet lagg behind much further, and not onely be _coincident_ with the second, cd, but lagg behind that also, and that so much the more, by how much the thicker the Plate be; so that by degrees it will be _coincident_ with the third cd backward also, and by degrees, as the Plate grows thicker with a fourth, and so onward to a fifth, sixth, seventh, or eighth; so that if there be a thin transparent body, that from the greatest thinness requisite to produce colours, does, in the manner of a Wedge, by degrees grow to the greatest thickness that a Plate can be of, to exhibit a colour by the reflection of Light from such a body, there shall be generated several consecutions of colours, whose order from the thin end towards the thick, shall be _Yellow, Red, Purple, Blue, Green;

Yellow, Red, Purple, Blue, Green; Yellow, Red, Purple, Blue, Green;

Yellow_, &c. and these so often repeated, as the weaker pulse does lose paces with its _Primary_, or first pulse, and is _coincident_ with a second, third, fourth, fifth, sixth, &c. pulse behind the first.

And this, as it is _coincident_, or follows from the first _Hypothesis_ I took of colours, so upon experiment have I found it in multitudes of instances that seem to prove it.

One thing which seems of the greatest concern in this _Hypothesis_, is to determine the greatest or least thickness requisite for these effects, which, though I have not been wanting in attempting, yet so exceeding thin are these coloured Plates, and so imperfect our _Microscope_, that I have not been hitherto successfull, though if my endeavours shall answer my expectations, I shall hope to gratifie the curious Reader with some things more remov’d beyond our reach hitherto.

Thus have I, with as much brevity as I was able, endeavoured to explicate (_Hypothetically_ at least) the causes of the _Phænomena_ I formerly recited, on the consideration of which I have been the more particular.

First, because I think these I have newly given are capable of explicating all the _Phænomena_ of colours, not onely of those appearing in the _Prisme_, Water-drop, or Rainbow, and in _laminated_ or plated bodies, but of all that are in the world, whether they be fluid or solid bodies, whether in thick or thin, whether transparent, or seemingly opacous, as I shall in the next Observation further endeavour to shew.

And secondly, because this being one of the two ornaments of all bodies discoverable by the sight, whether looked on with, or without a _Microscope_, it seem’d to deserve (somewhere in this Tract, which contains a description of the Figure and Colour of some minute bodies) to be somewhat the more intimately enquir’d into.

* * * * *