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I recognized at first by these experiments and by some others that of the two refractions which the ray suffers in this Crystal, there is one which follows the ordinary rules; and it is this to which the rays KL and OQ belong.

On the queer alphabetical table which the two pieces of paper made, he now wrote quickly the alphabet again, horizontally across the top, starting with H, and vertically down the side, starting with R, thus: H I J K L M N O P Q R S T U V W X Y Z A B C D E F G R a- b- c- d- e- f- g- h- i- j- k- l- m- n- o- p- q- r- s- t- u- v- w- x- y- z- S aa ba ca da ea fa ga ha ia ja ka la ma na oa pa qa ra sa ta ua va wa xa ya za T ab bb cb db eb fb gb hb ib jb kb lb mb nb ob pb qb rb sb tb ub vb wb xb yb zb U ac bc cc dc ec fc gc hc ic jc kc lc mc nc oc pc qc rc sc tc uc vc wc xc yc zc V ad bd cd dd ed fd gd hd id jd kd ld md nd od pd qd rd sd td ud vd wd xd yd zd W ae be ce de ee fe ge he ie je ke le me ne oe pe qe re se te ue ve we xe ye ze X af bf cf df ef ff gf hf if jf kf lf mf nf of pf qf rf sf tf uf vf wf xf yf zf Y ag bg cg dg eg fg gg hg ig jg kg lg mg ng og pg qg rg sg tg ug vg wg xg yg zg Z ah bh ch dh eh fh gh hh ih jh kh lh mh nh oh ph qh rh sh th uh vy wh xh yh zh & ai bi ci di ei fi gi hi ii ji ki li mi ni oi pi qi ri si ti ui vi wi xi yi zi A aj bj cj dj ej fj gj hj ij jj kj lj mj nj oj pj qj rj sj tj uj vj wj xj yj zj B ak bk ck dk ek fk gk hk ik jk kk lk mk nk ok pk qk rk sk tk uk vk wk xk yk zk C al bl cl dl el fl gl hl il jl kl ll ml nl ol pl ql rl sl tl ul vl wl xl yl zl D am bm cm dm em fm gm hm im jm km lm mm nm om pm qm rm sm tm um vm wm xm ym zm E an bn cn dn en fn gn hn in jn kn ln mn nn on pn qn rn sn tn un vn wn xn yn zn F ao bo co do eo fo go ho io jo ko lo mo no oo po qo ro so to uo vo wo xo yo zo G ap bp cp dp ep fp gp hp ip jp kp lp mp np op pp qp rp sp tp up vp wp xp yp zp H aq bq cq dq eq fq gq hq iq jq kq lq mq nq oq pq qq rq sq tq uq vq wq xq yq zq I ar br cr dr er fr gr hr ir jr kr lr mr nr or pr qr rr sr tr ur vr wr xr yr zr J as bs cs ds es fs gs hs is js ks ls ms ns os ps qs rs ss ts us vs ws xs ys zs K at bt ct dt et ft gt ht it jt kt lt mt nt ot pt qt rt st tt ut vt wt xt yt zt L au bu cu du eu fu gu hu iu ju ku lu mu nu ou pu qu ru su tu uu vu wu xu yu zu M av bv cv dv ev fv gv hv iv jv kv lv mv nv ov pv qv rv sv tv uv vv wv xv yv zv N aw bw cw dw ew fw gw hw iw jw kw lw mw nw ow pw qw rw sw tw uw vw ww xw yw zw O ax bx cx dx ex fx gx hx ix jx kx lx mx nx ox px qx rx sx tx ux vx wx xx yx zx P ay by cy dy ey fy gy hy iy jy ky ly my ny oy py qy ry sy ty uy vy wy xy yy zy Q az bz cz dz ez fz gz hz iz jz kz lz mz nz oz pz qz rz sz tz uz vz wz xz yz zz

Again, if one turns the Crystal in such wise that an incident ray NO, of sunlight, which I suppose to be in the plane continued from GCFH, makes with GC an angle of 73 degrees and 20 minutes, and is consequently nearly parallel to the edge CF, which makes with FH an angle of 70 degrees 57 minutes, according to the calculation which I shall put at the end, it will divide itself at the point O into two rays, one of which will continue along OP in a straight line with NO, and will similarly pass out of the other side of the crystal without any refraction; but the other will be refracted and will go along OQ. And it must be noted that it is special to the plane through GCF and to those which are parallel to it, that all incident rays which are in one of these planes continue to be in it after they have entered the Crystal and have become double; for it is quite otherwise for rays in all other planes which intersect the Crystal, as we shall see afterwards.