Clavius, Christoph
,
Geometria practica
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LIBER SEXTVS.
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mos B, H, nullum figuræ latus interſecantes. </
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<
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xml:space
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"> Siigitur reperiantur ſexrectæ
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K L, L M, M N, N O, O P, ſex triangulis
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281-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/281-01
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ABC, ACD, ADE, AEF, AFG, AGH,
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proportionales; </
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<
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">& </
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<
s
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xml:space
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">tota linea L P, ſece-
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tur in S, ſecundnm datam proportionem
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Q, ad R; </
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<
s
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">atque baſis D E, tertij trianguli
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(Nam diuiſio nis punctum S, in tertiamli-
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neam LM, incidit) dato puncto A, oppo-
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ſita diuidatur in T, vt linea L M, in S, di-
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uiſa eſt, ducaturque recta A T: </
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<
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xml:space
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"> Erit
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xlink:label
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">1. hui{us}.</
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gura ABCDTA, ad figurã ATEFGHA,
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vt IS, ad SP, hoc eſt, vt Q, ad R.</
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<
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<
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<
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style
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angulo B, vel H, non poterit propoſita figura in quamcunque propor-
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tionem diuidi: </
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<
s
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xml:space
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">quia lineæ ex eorum vtrolibet ad oppoſitos angulos emiſſæ par-
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tim ſecant latera, & </
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<
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xml:id
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xml:space
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">partim cadunt extra figuram. </
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<
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xml:space
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">Quod ſi data proportio mi-
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nor eſſet, quam figuræ BCDEB, (ſi nimirum intelligatur ducta recta BE,) ad figu-
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ram BEFGHAB, tum demum diuidi poſſet ex B, tota figura in datam propor-
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tionem: </
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<
s
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xml:space
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">propterea quod fierent duo triangula B C D, (ducta videlicet recta
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B D,) B D E, ad punctum B, quorum baſes ſunt latera figuræ C D, D E; </
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<
s
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xml:space
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">alia vero
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quatuor ABE, AEF, AFG, AGH, ad punctum A, quorum etiam baſes ſunt figu-
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rælatera AB, EF, FG, GH, &</
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<
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<
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modo quamcunque figuram rectilineam, etiam irregulariſsimam,
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partiemur in datam proportionem, non quidem ex quolibet angulo, vel pun-
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cto dato, (niſi ex eo duci poſsint rectæ ad omnes angulos oppoſitos, ex-
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ceptis duobus proximis, quæ nullum figuræ latus interſecent: </
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<
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<
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fig-281-02
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number
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185
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281-02
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/281-02
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di eſſet punctum V, in antecedentifigura) ſed ex aliquo puncto particulari; </
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<
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prius figura diuidatur in triangula ex pluribus punctis, ita vt quodlibet
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triangulum habeat ſaltem vnum latus, quod etiam ſit latus figuræ. </
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<
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xml:space
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">Vt ſi fi-
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gura hæc A B C D E F G H I K A, diuidatur in octo triangula, & </
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<
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">illis in recta
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L T, inueniantur totidem lineæ proportionales, totaq; </
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<
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xml:space
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">linea L T, ſecetur in
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