CORPORUM RIGIDORUM. 465
bit, angulos »j, 3 tantum ad fitum initialem fpedace, iisque locumcujuslibet clementi corporis definiri, neque igitur a tempore pendere; dumcontra reliqui anguli «, /Z, y, <9 funt fundiones ipfius temporis t tantum.
999. Fada hac evolutione pro arcu \z fuperfluum plane foret, fifiinilem invefiigationem pro duobus reliquis arcubus Ite et Cz inflituereVellemus. Cum enim tria putida A, Ii, C fint inter fe permutabilia, tan-tum opus erit, ut tam anguli ?/, A, quam a, / 3 , y fecundum ordi.nem promoveantur, dum interea angulus 9 idea» confervatut. Hoc igi-tur modo rcperiemus lequentes expreiTiones
eof Bz — cof,, (cof/ 3 2 + fin / 3 * cof 0 ) + CofA (cof /3 cofy
— cof/3 cofy eo f<p — cofas fin 9 ) 4- cof<( (cof /3 cof«
_ cof/3 cof« cof<p -p cofy fin 9)
cofCz — cofA (cofy 2 + finy 2 col^) 4 cof£ (cofy cof ci
— cofy cof a co(@ — cof /3 fin 9 ) 4 cof,, (cofy cof /3
— cofy cof/3 coftp 4 cof« fin 9).
1000. Statuamus nunc brevitatis gratia pro fitu translato pundi ZAz = Ite — Cz =r 3 y » ex quorum valoribus coordinatae pro ifiopundo deinceps formabuntur, Cofinus ergo horum trium arcuum hicjundim afpedui exponamus
*of£' — C of£ (cof« 2 -f fin« 2 coC@) 4 cof», (cofas cof/3 (1 — coftj?)
— cofy fin 9) 4 cof 3 (cof« cofy (1 — cof^) 4 cof /3 fin <p)
eof,,' — C of», 'cof/ 3 2 4 fin/ 3 2 coi9) 4 cofA (cof /3 cofy (1 — cof<p)
— cof« fin 0 ) 4 cof ^ (cof« cof/3 (1 - coftp) + cofy lin <9)
eofA' — eofA (cofy 2 4 finy 2 cnf(p) + cof£ (cof« cofy (1 — cof9)
— cof/3 fin9; 4 cofy (cof /3 cofy (1 —cof9) 4 cof« fin 9).
1001. Operae pretium hic erit nonnullos fitus principales pundiZ contemplari. Sumamus igitur primo pundum Z in ipfopundoA, itaut fit £;=: o et tj = 3 = 90° J ruide pro fitu putidi z erit
cof^' — eof« 2 4 fi"«^ cof9 — 1 __ fin« 2 (1 _ cof9)
Cof»,' — cof Q5 cof/3 (1 — C..f9) 4 cofy fin 9cofI' — cof« cofy (i — cof 9 ) - cof /3 lin 9 .
Simili modo fi pundum Z capiatur in pundo B, ita ut fit £ = 3 - = 90°ct >1—2, tum erit pro fitu pundi z
cof<f' — eof« cof/3 (1 — coftp) — cofy fincofy' — cof/ 3 2 4 fin / 3 2 cof9 = f — fin /3 2 (1 — cof9)cofI' cof /3 cofy (1 — C0J 9) 4 cof« fin 9,
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