Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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n
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284
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file
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0284
"
xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0284
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ſtea egeat ipſa ualde calefacta. </
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<
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terat.</
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<
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">Solutiones aliqua, circa altimetriam.</
head
>
<
head
xml:id
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xml:space
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">AD EVNDEM.</
head
>
<
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<
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xml:space
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dubitationes conſideraui, quas quidem non inutiles
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inueni, quo uerò ad primam, dico te oportere illud Theorema ſpeculari or
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dine huiuſmodi methodi, uidelicet quod
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habuerimus
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angulum
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aliquem
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type
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cuiufuis amplitudinis, puta
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cuius duo latera
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et
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indeterminata
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intelligantur, ſi ab aliquo puncto inter ipſas poſito, puta
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quod etiam uocetur
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du
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ctę fuerint .4. lineę ipſis dictis lateribus, hac ſcilicet
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,
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type
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duę ex dictis .4. ſint
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parallelę ipfis
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, puta
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number
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0284-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0284-01
"/>
</
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<
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et
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reliquę uero duę
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ſeccent ipſa latera, ut
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a.</
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et
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. </
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xml:space
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portionem
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ad
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ean
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dem eſſe, quę
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ad
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Nam ſcimus proportionem
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eandem eſſe quę
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ad
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ex fimilitudine
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, ſimiliter
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ad
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quę
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ad
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</
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<
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xml:id
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">quare aggregata
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ex iſtis erunt inuicem
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, uel ſi mauis ex ęqua pro
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portionalitate, quod idem
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eſt, ita ſe habebit
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ut
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.</
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</
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<
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<
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xml:id
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xml:space
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. </
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inacceſſibili
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. </
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<
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xml:space
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rò ſtationes oculorum ſint
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et
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lineę autem uiſuales ſint
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et
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. </
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>
<
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xml:id
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xml:space
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tum geometricum ſit
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. </
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<
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xml:space
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babus ſtationibus filum perpendiculare ſeccet latus
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>.e.c.</
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non autem
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(nam quan-
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do in ambabus ſtationibus filum ſecat latus
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>
nullum tibi dubium oritur, imo ma
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nifeſtè patent partes lateris
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terminatas à
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& à filo proportionales eſſe
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&
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ſumpto
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pro
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et
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pro punctis ſecatis à filo, ex
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ſimilitudine trian-
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gulorum quadrati cum triangulis
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et
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) Sed cum in pręſenti caſu repe-
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riatur triangulum
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minus, in ſtatione remotiori, ſimile triangulo maiori
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A.</
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& triangulum maius
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proximioris ſtationis, ſimile triangulo minori
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(quod in alio iam dicto, caſu non accidit, ut unum triangulorum, minus ſcilicet, ſi-
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mile ſit uno triangulorum, maiori ſcilicet & è conuerſo) Non omnino abſque ratio
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ne dubitas quo pacto fieri poſſit ut
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remotioris ſtationis ad
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propinquioris ita
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ſe habeat quema dmodum
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ad
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>
. </
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>
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