Vitruvius, De architectura libri decem, 1567

Table of figures

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[121] Dimonctratio prrima proprie tatis. s n m l k
Page: 312
[122] Vſus inſtrume ti Nicomedis & eius demő ſtratio. l e b c g f a k h i
Page: 312
[123] h
Page: 312
[124] b d c e f g
Page: 312
[125] a b c e d
Page: 312
[126] Secunda proprietas lineæ flexæ.f n e b g i d m k c
Page: 313
[127] a. centrum mundi.b. oculus in ſuperficie terræc. ſydus.d. uertex.b c a. angulus diuerſitatis. c d 6 a
Page: 317
[128] a b deferens.c. deferentis centrum.d e. epicyclus.a. centrum epicycli.f. mundi centrum.a. iugum deferentis.b. antiiugum.d. iugum epicycli. d a e c s b
Page: 319
[129] a b g. concentricum.d. eius centrum.e z b. eccentricum.t. eius centrum.k z. epicyclus.b. eius centrum.d t. b z. œquales.t z. d b. œquales.motus { concentrici b d a. \\ epicycli k b z. \\ eccentrici z t e. \\ anguli œquales Sol utroque modo uidetur in z. per li-neam d z. e a t d b z b k
Page: 321
[130] a b g. eccentricum.d. eius centrum.e. centrum mundi.a d g. linea ingi.b. centrm Solis.e z. linea medij motus parallela li-neœ b d.c b. linea ueri motus.b e z. angulus œquatio. z b a d e
Page: 321
[131] a b g. concentricum. d. eius centrũ.t z. eccentricum.h. eius centrum.e z. epicyclus.g. eius centrum.d b. & g z. œquales.d z. parallelogrammum.motus {concentrici a d g. \\ epicycli e g z. \\ eccentrici t b z. uet t dg. \\ iugieccentric. a d t. anguli t b z. & e g z. œqua-les ſunt.angulus a d g. œqualis augulis. {adt. \\ adg. f n b a d o k
Page: 321
[132] b k epicyclus.b. centrum eius.h. uigum.n. Antijugum epicycli.k. punctũ primœ morœ.c. mundi centrum.o. punctũ ſecundæ morœ.h l k. arcus primœ mo rœ.k n o. arcus regreſſus-o b k. arcus directio-nis. L K A H B N O C
Page: 323
[133] Porfioni del cerchio che fannoſe s̃teſſe torno dlaTramòntanaTram ontanaSlmiſifudineTramonſangCarro che uoſge infomoalla Framonlana
Page: 332
[134] a b c d f
Page: 335
[135] A. ſectio parabole.B. vestigium. C. parabole.G. ſectio ellipſis.D. ſectio hyperbole.E. vestigium F. hyperbole. a f a f 1 f f f 1 2 1 1 2 3 2 2 3 4 3 3 4 5 4 4 5 6 C 5 5 6 F 7 A 6 6 8 7 8 7 7 D 8 9 8 8 9 10 11 10 10 11 11 11 11 b 12 g e d b e h d gf g b 6 7 3 1 2 4 6 8 10c g b E a 11 9 7 3 3 1 d 2 4 6 8 10 e ha f 1 2 3 4 5 6 7 8 9 10 11 a b c d 9 8 7 6 3 2 1 f b a H d g 10 9 8 7 6 5 4 3 2 1 ff 1 2 3 4 5 6 7 8 9 10 11 g
Page: 336
[136] m q 0 s k h c b s n L I p q s
Page: 337
[137] Il polo.cqiunot.orizonte c e b a f
Page: 338
[138] l n k mcridl. parte delverno E e h a s i 9 8 7 6 5della jtate 4 3 parte g h f x lacato manaco b r c linca del.piano t
Page: 339
[139] Analemmatis figura.MERIDIAN: S. M. MLSLACITREVM.M.MERIDIAN: .S.OMVERTICAV.M..S.. O. M.ORIZON:W. A.STAB:
Page: 342
[140] 11 ſ x d 11 p k 1 2 1 2 3 4 5f 6 r 11 10 9 8 7 n f m 12 11 10 9 8 7 6 5 1 02 3 4 1g c 1 2 1 2 3 4 5 6 e 11 10 9 8 7 q b o
Page: 342
[141] 1 3 b x z g 2 5 f p 0 1 4 t I c e o n m r u 6 q i h 8 y d 5
Page: 343
[142] 5 4 b 3 2 7 8 9 10 f 6 5 7 1 11 6 5 7 9 4 4 8 8 N 9 x 12 1 11 2 10 3 9 4 8 5 7 3 39 9 F 6 g 2 2 10 10 o a @ d 1 11 7 6 z 1 11 8 6 7 c 1 12 10 1@ 1 2 1 1 11 11 5 11 2 2 10 21 11 b f @ 8 3 3 9 9 12 1 4 5 g 6 10 8 11 1 9 10 2 2 2 10 5 7 2 z 9 c 8 4 7 5 9 3 10 4 8 8 4 3 7 2 10 7 5 9 3 1 11 12 8 4 11 1 10 2 0 @ d 7 5 9 3 I 8 4 7 5 6 c &
Page: 344
[143] 5 6 7 4 8 3 9 2 10 1 11 4 8 3 9 d d 2 3 4 5 6 7 8 9 10 10 1 1 v n c
Page: 345
[144] 12 1 1 1111 2 2 10 10 3 3 9 9 4 4 8 8 5 5 7 7 6 6 6 T 7 7 5 5 8 8 4 4 9 9 3 3 10 10 2 2 11 11 1 1 12
Page: 345
[145] 11 10 9 8 7 6 5 4 3 2 1 11 10 9 8 7 6 5 4 3 2 1 11 1 2 3 10 4 5 E 6 6 7
Page: 345
[146] 9 3 4 2 8 10 11 12 1 5 7 6 6 G
Page: 345
[147] 8 9 10 7 6 5 11 1 8 1 11 F
Page: 345
[148] 16 15 17 14 14 18 19 19 13 13 20 20 12 12 21 21 11 11 H 22 22 10 10 23 23 9 9 24 16 16 23 23 17 17 22 22 18 18 21 21 29 20
Page: 346
[149] 19 20 21 18 17 22 23 17 16 18 17 9 15 14 13 11 13 20 16 12 21 17 20 22 21 11 22 10 23 9 18 L 17 18 19
Page: 346
[150] 23 17 22 16 18 9 21 23 19 10 19 20 22 11 21 20 13 19 14 18 15 17 16 K
Page: 346
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              motus, prœcedit lineam ueri motus. </s>
              <s xml:id="echoid-s21927" xml:space="preserve">Sed cum ſemicirculus tranſit, tunc linea ueri, lineam medij motus prœ-
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              cedit, ideo ſuperius demitur, inferius additur medio motui, ut uerus eliciatur. </s>
              <s xml:id="echoid-s21928" xml:space="preserve">Sed nolo in ſecretiorem ſpe-
                <lb/>
                <figure xlink:label="fig-514.01.321-01" xlink:href="fig-514.01.321-01a" number="129">
                  <description xml:id="echoid-description75" xml:space="preserve">a b g. concentricum.
                    <lb/>
                  d. eius centrum.
                    <lb/>
                  e z b. eccentricum.
                    <lb/>
                  t. eius centrum.
                    <lb/>
                  k z. epicyclus.
                    <lb/>
                  b. eius centrum.
                    <lb/>
                  d t. b z. œquales.
                    <lb/>
                  t z. d b. œquales.
                    <lb/>
                  motus { concentrici b d a. \\ epicycli k b z. \\ eccentrici z t e. \\ anguli œquales
                    <lb/>
                  Sol utroque modo uidetur in z. per li-
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                  neam d z.</description>
                  <variables xml:id="echoid-variables87" xml:space="preserve">e a t d b z b k</variables>
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              culationem uenire, cum iam me
                <lb/>
              pœniteat ultra progreſſum. </s>
              <s xml:id="echoid-s21929" xml:space="preserve">Cum
                <lb/>
              licet omnia doctiſſime a Franciſco
                <lb/>
              Maurolico explicentur. </s>
              <s xml:id="echoid-s21930" xml:space="preserve">Eſt tamen
                <lb/>
              aduertendum, quod aliquo in it io
                <lb/>
              statuenda eſt radix ( ita enim ap-
                <lb/>
              pellant, unde aliquod initium ſumi-
                <lb/>
                <note position="left" xlink:label="note-514.01.321-01" xlink:href="note-514.01.321-01a" xml:space="preserve">10</note>
              mus medij motus ) a qua ſtatim cũ
                <lb/>
              uolumus, medium ſolis motum nu-
                <lb/>
              merare poſſimus, ex qua radice
                <lb/>
              uerus motus obſeruatur per ea,
                <lb/>
              quæ ad trigonorum planorum ſcien
                <lb/>
              tiam ſpectant. </s>
              <s xml:id="echoid-s21931" xml:space="preserve">nam a tribus lineis
                <lb/>
              tria centra iungentibus, ſcilicet
                <lb/>
              orbis, deferentis, & </s>
              <s xml:id="echoid-s21932" xml:space="preserve">Solis, tres an-
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              guli in trigono constituuntur quo-
                <lb/>
              rum unus eſt œquationis angulus, uerum alij duo ſunt, qui duas lineas effingunt, unam ueri, alterã medij mo-
                <lb/>
                <note position="left" xlink:label="note-514.01.321-02" xlink:href="note-514.01.321-02a" xml:space="preserve">20</note>
              tus unà cum linea iugi. </s>
              <s xml:id="echoid-s21933" xml:space="preserve">& </s>
              <s xml:id="echoid-s21934" xml:space="preserve">cum nobis nota fuerit ea proportio, quam inter ſe babent duo latera iam conſti-
                <lb/>
                <figure xlink:label="fig-514.01.321-02" xlink:href="fig-514.01.321-02a" number="130">
                  <description xml:id="echoid-description76" xml:space="preserve">a b g. eccentricum.
                    <lb/>
                  d. eius centrum.
                    <lb/>
                  e. centrum mundi.
                    <lb/>
                  a d g. linea ingi.
                    <lb/>
                  b. centrm Solis.
                    <lb/>
                  e z. linea medij motus parallela li-
                    <lb/>
                  neœ b d.
                    <lb/>
                  c b. linea ueri motus.
                    <lb/>
                  b e z. angulus œquatio.</description>
                  <variables xml:id="echoid-variables88" xml:space="preserve">z b a d e</variables>
                </figure>
              tuti trigoni, è quibus unum est
                <lb/>
              eccentrici ſemidiameter, & </s>
              <s xml:id="echoid-s21935" xml:space="preserve">al-
                <lb/>
              terum ſpatium illud, quod a cen
                <lb/>
              tro exit, conſequitur ut propo-
                <lb/>
              ſito quouis angulo è tribus,
                <lb/>
              etiam alij manifesti ſint. </s>
              <s xml:id="echoid-s21936" xml:space="preserve">Qua-
                <lb/>
              re colligimus, quod dato aut me
                <lb/>
              dio motu, aut uero, aut æqua-
                <lb/>
              tione per ſe, quanto citius unũ,
                <lb/>
                <note position="left" xlink:label="note-514.01.321-03" xlink:href="note-514.01.321-03a" xml:space="preserve">30</note>
              aut alterum nouerimus, facile
                <lb/>
              & </s>
              <s xml:id="echoid-s21937" xml:space="preserve">reliqui duo cognoſcentur.
                <lb/>
              </s>
              <s xml:id="echoid-s21938" xml:space="preserve">Hœc omnia dicta ſunt, & </s>
              <s xml:id="echoid-s21939" xml:space="preserve">inuen
                <lb/>
              ta, ut uiſiones, quas apparen-
                <lb/>
              tias uocant, & </s>
              <s xml:id="echoid-s21940" xml:space="preserve">irregularitatem Solis circa centrum orbis ſeruemus. </s>
              <s xml:id="echoid-s21941" xml:space="preserve">& </s>
              <s xml:id="echoid-s21942" xml:space="preserve">ut certa, ac determinata ratio ipſius
                <lb/>
              motus firmetur, omneq́; </s>
              <s xml:id="echoid-s21943" xml:space="preserve">id ſubſcripta docet figura, per o literam ſignata. </s>
              <s xml:id="echoid-s21944" xml:space="preserve">Postquam de Sole dictum
                <lb/>
                <figure xlink:label="fig-514.01.321-03" xlink:href="fig-514.01.321-03a" number="131">
                  <description xml:id="echoid-description77" xml:space="preserve">a b g. concentricum. d. eius centrũ.
                    <lb/>
                  t z. eccentricum.
                    <lb/>
                  h. eius centrum.
                    <lb/>
                  e z. epicyclus.
                    <lb/>
                  g. eius centrum.
                    <lb/>
                  d b. & g z. œquales.
                    <lb/>
                  d z. parallelogrammum.
                    <lb/>
                  motus {concentrici a d g. \\ epicycli e g z. \\ eccentrici t b z. uet t dg. \\ iugieccentric. a d t.
                    <lb/>
                  anguli t b z. & e g z. œqua-
                    <lb/>
                  les ſunt.
                    <lb/>
                  angulus a d g. œqualis augulis. {adt. \\ adg.</description>
                  <variables xml:id="echoid-variables89" xml:space="preserve">f n b a d o k</variables>
                </figure>
              est, de Luna dicendum eſt, deq́;
                <lb/>
              </s>
              <s xml:id="echoid-s21945" xml:space="preserve">eius motionis diuerſitate, & </s>
              <s xml:id="echoid-s21946" xml:space="preserve">ue
                <lb/>
              ro ipſius loco. </s>
              <s xml:id="echoid-s21947" xml:space="preserve">Dico igitur ue-
                <lb/>
              rum Lunæ locum ex eius defe-
                <lb/>
                <note position="left" xlink:label="note-514.01.321-04" xlink:href="note-514.01.321-04a" xml:space="preserve">40</note>
              ctu deprebendi. </s>
              <s xml:id="echoid-s21948" xml:space="preserve">nam qui acute
                <lb/>
              conſider at initium & </s>
              <s xml:id="echoid-s21949" xml:space="preserve">finem de-
                <lb/>
              fectus Lunœ, etiam medium in-
                <lb/>
              stans habet, in quo Luna toto
                <lb/>
              diametro Soli obijcitur, quare
                <lb/>
              cum ex ſupra poſitis Solis mo-
                <lb/>
              tio nota ſit, non eſt quod dubi-
                <lb/>
              temus uerum Lunœ locum per-
                <lb/>
              pendere. </s>
              <s xml:id="echoid-s21950" xml:space="preserve">Diuerſitas uero in
                <lb/>
              Lunœ motu ea cernhur, quod in
                <lb/>
                <note position="left" xlink:label="note-514.01.321-05" xlink:href="note-514.01.321-05a" xml:space="preserve">50</note>
              eodem ſigniferi loco non ſem-
                <lb/>
              per œque uelociter mouetur, & </s>
              <s xml:id="echoid-s21951" xml:space="preserve">
                <lb/>
              uarijs modis ſe babet ad Solem,
                <lb/>
              quare cum barum diuer ſitatum rationem reddere uellent, primam epicyclo, alteram eccentrico dedere. </s>
              <s xml:id="echoid-s21952" xml:space="preserve">Qua-
                <lb/>
              tuor in epicyclo puncta ſunt, in uno celerrime Luna mouetur, quoniam eccentricum cum epicyclo in motu
                <lb/>
              conueniunt, & </s>
              <s xml:id="echoid-s21953" xml:space="preserve">ad unam eandemq́; </s>
              <s xml:id="echoid-s21954" xml:space="preserve">partem feruntur. </s>
              <s xml:id="echoid-s21955" xml:space="preserve">Sed in oppoſito tardiſſima eſt, nam epicyclo eccentricum
                <lb/>
              contra nititur, ſed inter duo media puncta ſatis moderatè mouetur. </s>
              <s xml:id="echoid-s21956" xml:space="preserve">Huiuſmodi quatuor puncta ita epicyclum
                <lb/>
              distribuunt, quod in prima parte celerrima fit, & </s>
              <s xml:id="echoid-s21957" xml:space="preserve">citiſſima eius motio, in ſecunda remittitur, in tertia tardiſ-
                <lb/>
              ſime fertur, in quarta demum temperatè cietur. </s>
              <s xml:id="echoid-s21958" xml:space="preserve">huiuſmodi ob diuerſitatem deprebendimus quibus in parti-
                <lb/>
              bus epicycli Luna moueatur, & </s>
              <s xml:id="echoid-s21959" xml:space="preserve">quanto temporis interuallo circum epicyclum uoluatur, & </s>
              <s xml:id="echoid-s21960" xml:space="preserve">ut ad unguem
                <lb/>
                <note position="left" xlink:label="note-514.01.321-06" xlink:href="note-514.01.321-06a" xml:space="preserve">60</note>
              tempus illud colligerent ſyderum obſeruatores, geminos Lunæ defectus ſumpſere, in quibus Luna ſimiliter, &</s>
              <s xml:id="echoid-s21961" xml:space="preserve"/>
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