Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
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numeratum, quicunqueille ſit; </
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<
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xml:space
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">ac poſtremo ex parte aliquota ſummæ, cuius de-
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nominator eſt numerus à te electus, auferre ſimilem partem ex productis ſingu-
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lorum, hoc eſt, ipſos conceptos numeros: </
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<
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xml:space
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milis pars numeri adiecti.</
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<
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<
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ſi malueris diuerſos numeros, dic vt ſecundus ſuum reſiduum du-
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plicet, & </
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<
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<
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<
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xml:space
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">Ita enim coniicies, primi reſiduum eſſe illam par-
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tem aliquotam numeriadiecti: </
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<
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xml:space
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<
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tium triplum, &</
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<
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<
s
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xml:space
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">Vbivides eos reſiduum illud per quoſcunque numeros poſ-
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ſe multiplicare, dummodo memor ſis in coniiciendis numeris, per quos nume-
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ros factæ ſunt multiplicationes.</
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<
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<
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tiri.</
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<
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<
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<
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problema hoc videatur ferè impoſsibile: </
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<
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xml:space
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teſt, dicet aliquis, vt quilibet numerus quadratus diuidi poſsit in quotlibet nu-
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meros, qui omnes ſint quadrati?) </
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<
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<
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xml:space
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quadratus numerus datus 36. </
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<
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<
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<
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ad propoſ. </
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<
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<
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<
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ris quadratus reliquorum quadratis ſit æqualis, nimirum 5. </
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<
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<
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<
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5. </
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<
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<
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<
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<
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3. </
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<
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">Inuenieſq; </
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<
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xml:space
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">{18/5}. </
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<
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<
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<
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dratorum quadrato 36. </
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<
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<
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<
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uentos duos numeros, vt 5. </
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<
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<
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<
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<
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</
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<
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<
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xml:space
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5. </
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<
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<
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<
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<
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<
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<
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<
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">æquales erunt quadrato
<
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cis 6. </
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<
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<
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<
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<
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<
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rem radicem inuentam, ne coincidamus cum aliqua præcedente radiceiam in-
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uenta) inueniẽtur alij duo numeri, quorũ quadrati æquales ſint quadrato radi-
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cis 3 {3/5}. </
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<
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<
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<
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<
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<
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tres radices 4 {4/5}. </
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<
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<
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<
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">quarum quadrati æquales erunt quadrato 36. </
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<
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poſito. </
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<
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<
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<
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<
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<
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duæ aliæ radices 1 {91/125}. </
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<
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<
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<
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<
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nimus) inuentæ iam erunt quatuor radices 4 {4/5}. </
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<
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<
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<
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xml:space
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<
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xml:space
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<
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meri quadrati quadrato 36. </
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<
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<
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xml:space
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<
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<
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ad 3. </
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<
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<
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</
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<
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<
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<
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<
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xml:space
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uentæ erunt quinque radices 4 {4/5}. </
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<
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<
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<
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<
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xml:space
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<
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xml:space
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<
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meri 23 {1/25}. </
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<
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<
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xml:space
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">2 {1@406/35625}. </
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<
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">1 {29279/190625}. </
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<
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<
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xml:space
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">{236196/39@625}. </
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<
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">conficiunt datum quadratum 36. </
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<
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que in hunc modum plures quadrati inueniri poterunt æquales numero
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36. </
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<
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<
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vt 5. </
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<
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<
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<
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<
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<
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<
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quæ minima eſt, ad aliud, &</
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="
echoid-s16029
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s16030
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>