Clavius, Christoph
,
Geometria practica
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GEOMETR. PRACT.
"/>
<
note
position
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xlink:label
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note-308-02
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xlink:href
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note-308-02a
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xml:space
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">Conſtructio
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tabulæ miri-
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ficæ.</
note
>
<
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position
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left
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xlink:label
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note-308-02
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xlink:href
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note-308-02a
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xml:space
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">Conſtructio
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tabulæ miri-
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ficæ.</
note
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2
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3 # 3
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4 # 6
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5 # 10 # 10
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6 # 15 # 20
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7 # 21 # 35 # 35
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8 # 28 # 56 # 70
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9 # 36 # 84 # 126 # 126
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10 # 45 # 120 # 210 # 252
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11 # 55 # 165 # 330 # 462 # 462
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12 # 66 # 220 # 495 # 792 # 924
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13 # 78 # 286 # 715 # 1287 # 1716 # 1716
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14 # 91 # 364 # 100 # 2002 # 3003 # 3432
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15 # 105 # 455 # 1365 # 3003 # 5005 # 6435 # 6435
<
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16 # 120 # 560 # 1820 # 4368 # 8008 # 11440 # 12870
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17 # 136 # 680 # 2380 # 6188 # 12376 # 16448 # 24310 # 24310
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& </
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<
s
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<
s
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xml:space
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">Continentur autem in ſecunda columna omnes numeri trian-
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gulares. </
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<
s
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xml:space
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">Non aliter tertia columna ex ſecunda oritur, & </
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<
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xml:space
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">quarta ex tertia,
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&</
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<
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xml:space
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">c. </
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<
s
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xml:space
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">Semper enim in qualibet columna relinquũtur duæ primæ cellu@æ, & </
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<
s
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xml:space
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">nu-
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merus tertiæ cellulæ repetitur pro primo numero ſequentis columnæ: </
s
>
<
s
xml:id
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xml:space
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">atque ex
<
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additione eius numeri cum collaterali præcedentis columnæ conflatur ſecun-
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dus numerus, &</
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<
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</
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<
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xlink:label
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note-308-03
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xlink:href
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xml:space
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">Quo pacto
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ex ſuperiori
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tabula deſu-
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mantur nu-
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meripro ſin-
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gulis radicum
<
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ſpecieb{us}.</
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</
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<
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<
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>
extructa tabula, deſumuntur numeri peculiares ex ordinibus trans-
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uerſalibus hoc ordine. </
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>
<
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xml:space
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">Numeri cuiuslibet ordinis tranſuerſalis ordine ſcrib un-
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tur, ijdemque ordineretrogrado repetuntur, vltimo ſemper ex cepto, & </
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<
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timo etiam tuncſolum, quando vltimo æqualis eſt. </
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<
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xml:space
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">Vt in ſecundo ordine ſu-
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mitur tantum numerus 2. </
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xml:space
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">quia cum ſit vltimus, non repetitur. </
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>
<
s
xml:id
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xml:space
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">In tertio ſumun-
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tur quo que hi duo tantum 3.</
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<
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xml:space
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<
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xml:space
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">quia penultimus non repetitur, cum ab vltimo
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non differat. </
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<
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xml:space
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">In quarto autem ſumendi ſunt hi tres. </
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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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<
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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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<
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45. </
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">&</
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<
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<
s
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xml:space
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">Vbivides, ſemper tot numeros aſſumi, quot ſunt vnitates in primo
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numero tranſuerſali, minus vno. </
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<
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xml:space
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hiſexdecim 17. </
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<
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<
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<
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">2380. </
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<
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<
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">12376. </
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<
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<
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<
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<
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<
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">12376. </
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<
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6188. </
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<
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">2380. </
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<
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xml:id
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">680. </
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<
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xml:id
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">136. </
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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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">ſic de cæteris.</
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</
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<
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<
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style
="
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">Cvilibet</
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>
deinde numero præponendæ ſunttot cifræ, quot numeriab eo
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incluſiue numerantur vſque ad vltimum aſſumptum. </
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<
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<
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">ſecundi or-
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dinis præponenda eſt vna cifra, hoc modo, 20. </
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<
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xml:space
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">Sed duo tertij ordinis habe-
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bunt has cifras 300. </
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<
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<
s
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xml:space
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">Sic in nono ordinè, vbiaſſumuntur octo numeri, pri-
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mus habebit octo cifras, ſecundus ſeptem, tertius ſex, & </
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>
<
s
xml:id
="
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xml:space
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">ſic ſemper minuendo
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vnam. </
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<
s
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xml:space
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">Cuius autem radicis extra ctioni inſeruiant prædicti nu neri in quolibet
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ordine tranſuerſali accepti, pulchrè indicat primus numerus o@dinis </
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