O Direction, Pl¢ze, and the 135 By the nefihud taugh In th tx { the sun's loclinution11 through that, his true and rean longitude, nn may, the latitute of the observer being knombe found from A single observation upon the shadow at any lour in the flay , 'The declination is obtained rom the messure of annplitude und is hypothenuk/ of the inflow। the f¢ )} rnm:} : first, as wax shown in connection) oth vers 7 i his chaper, hyp. shad tnesaupl. ; : E : GA (*ig. 18, p.-13)} but F (A : : EH : B. bertoo In shal१NDS anmpi. EIH | BC, {h% ine of legliation, 1tring kht$ ascertaire tlag longitutle is leduced from it: 1A re?I* cs (see above v. 17-()). 41 Upon a give tak, the tistarces of three lauses , at noon, in the foremonan i {]le afternon being laid off, 42 . Frm the }fin ( of intersectium of the lines rail Ibetween then by means of wo fish-figures (!rtsur), and will radlius touching the three Zinnts, is tlc&cribe the la tlh of the shado t, ११ 1 r\1OS , 'hi 1{lut h: e' { the dialihe path which |escriot) by th it of le atlow poi। ive day proceds 11 the albut १] । icle assumptJO, sine, exptir within the polar ilex, the puth of (ho khudow lways a typeola, when the sun is not in {{re :matop". In low ]n%udes, lowever, the tlifference between ure of the hyperbolk, any point not too far from Ab 10) 11 ] : ६re of circleis truell, {}hal j is not vuly burprising that the lintlnux albulf have overlooked it. The Patth being "$ganked a tute circle, of eurse it can be an if num three points in it tan be four by calculation l this is not. ifficult, since he Yes above given furnish means of agentining, if thr: Sun's editation nr th; obst:yyys |ti।dle we knownh crugth of the shadow ।nd elength of its base, or, bic di«t:ne: f its extremity from th east a weg. XISO the dini, at rifferent times uon the day (ne part of the process, how ever, has not been ); vided to hit}ner(0 given Thus ("ig. ing , a rd । । १: three !0mtx dure: taily path of the shadow( P. ५0 •der to talk १ ।। i km not utml; the bases o", b but |AA; he title ४८, ४८ But these are readily found when the shal 1d the »ake com:$ponding to th are known, or they may be calculated from the Kinks of the respective horam The three points being ctermined, the mode of acscribinp a circle through then is virtually the Barne with that which we shou! employ lines aro drawn from the noon-poink to each of the others, which are then, by fish-figuro (see above, under vv, 1-5), bisected by other liacB at night ll 3. 111) (e.
