Vitruvius, De architectura libri decem, 1567

Table of figures

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[111] Orthographia meſolabij Architæ.
[112] Demonſtratio Eratoſtbenis. a g t cb f b d
[113] Instrumentum Eratoſthenis. m a x g n b c n i o l v q p b e f k d
[114] Vſ{us} demonſtratio Eratoſtbenis cum inſtrumento. a h n ek l i o d b 8 m c 4
[115] Inſtrumentum Platonis. f i n o m
[116] cubus. 8 8 64 8 8 8 8 512 8s e
[117] Demonstratio Archita. p l k b o i m b e d af
[118] Demonctration Platonis. d e b c g
[119] Demostratio ter tiæ proprietatis, & aſſumptionis Nicomedis.instrumentum Nicomedis. f h d g b s n m k a
[120] Duplicatio cubi. e a b c d f g
[121] Dimonctratio prrima proprie tatis. s n m l k
[122] Vſus inſtrume ti Nicomedis & eius demő ſtratio. l e b c g f a k h i
[123] h
[124] b d c e f g
[125] a b c e d
[126] Secunda proprietas lineæ flexæ.f n e b g i d m k c
[127] a. centrum mundi.b. oculus in ſuperficie terræc. ſydus.d. uertex.b c a. angulus diuerſitatis. c d 6 a
[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
[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
[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
[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
[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
[133] Porfioni del cerchio che fannoſe s̃teſſe torno dlaTramòntanaTram ontanaSlmiſifudineTramonſangCarro che uoſge infomoalla Framonlana
[134] a b c d f
[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
[136] m q 0 s k h c b s n L I p q s
[137] Il polo.cqiunot.orizonte c e b a f
[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
[139] Analemmatis figura.MERIDIAN: S. M. MLSLACITREVM.M.MERIDIAN: .S.OMVERTICAV.M..S.. O. M.ORIZON:W. A.STAB:
[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
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              ticalis plani officium eſſe meridianas partes a ſeptentrionalibus ſeparare, ideo horologia in eo plano deſeri-
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              pta ad meridiem, aut ad ſeptentrioncm uergent. </s>
              <s xml:id="echoid-s23842" xml:space="preserve">quemadmodum igitur in deſcribendis horologijs in plano fi-
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              nitoris, duas portiones ſeu arcus circulorum quæſiuimus, ut longitudinem, & </s>
              <s xml:id="echoid-s23843" xml:space="preserve">latitudinem umbræ uenare-
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              mur, ita hoc quoque loco in horologijs in plano uerticalis deſcribendis duis circumferentias, & </s>
              <s xml:id="echoid-s23844" xml:space="preserve">arcus aſſu-
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              memus, e quibus una Solis altitudinem ſuper id planum ſingulis horis oſtendet, unde umbræ longitudo elicie-
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              tur, & </s>
              <s xml:id="echoid-s23845" xml:space="preserve">ideo circumferentia horaria uocabitur: </s>
              <s xml:id="echoid-s23846" xml:space="preserve">altera umbræ latitudinem circa idem planum indicabit: </s>
              <s xml:id="echoid-s23847" xml:space="preserve">ho-
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              rariæ igitur circumferentiæ hoc modo a mobili meridiano trahuntur. </s>
              <s xml:id="echoid-s23848" xml:space="preserve">& </s>
              <s xml:id="echoid-s23849" xml:space="preserve">primum in æquinoctiali. </s>
              <s xml:id="echoid-s23850" xml:space="preserve">Esto a b
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              g d. </s>
              <s xml:id="echoid-s23851" xml:space="preserve">circulus ex centro e. </s>
              <s xml:id="echoid-s23852" xml:space="preserve">ductus. </s>
              <s xml:id="echoid-s23853" xml:space="preserve">a b, ſit ſectio communis meridiani, & </s>
              <s xml:id="echoid-s23854" xml:space="preserve">finitoris, g d. </s>
              <s xml:id="echoid-s23855" xml:space="preserve">diameter uer-
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              ticalis & </s>
              <s xml:id="echoid-s23856" xml:space="preserve">z e h. </s>
              <s xml:id="echoid-s23857" xml:space="preserve">diameter æquinoctialis. </s>
              <s xml:id="echoid-s23858" xml:space="preserve">eſto t z. </s>
              <s xml:id="echoid-s23859" xml:space="preserve">quarta æquinoctialis ſupra finitorem, hæc in ſex æquas
                <lb/>
                <note position="left" xlink:label="note-514.01.346-01" xlink:href="note-514.01.346-01a" xml:space="preserve">10</note>
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                  <variables xml:id="echoid-variables107" xml:space="preserve">17 18 19 20 21 22 16 23 15 14 13 12 11 10 11 12 21 22 10 9 23 M</variables>
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                <note position="left" xlink:label="note-514.01.346-02" xlink:href="note-514.01.346-02a" xml:space="preserve">20</note>
                <note position="left" xlink:label="note-514.01.346-03" xlink:href="note-514.01.346-03a" xml:space="preserve">30</note>
                <note position="left" xlink:label="note-514.01.346-04" xlink:href="note-514.01.346-04a" xml:space="preserve">40</note>
              horarias portiones ſecetur, ſatis enim est quarta una, ad id quod uolumus oſtendendum, a ſingulis autem di-
                <lb/>
              uiſionibus ad diametrum æquinoctialis ducantur lineæ, quæ ſemidiametrum z e. </s>
              <s xml:id="echoid-s23860" xml:space="preserve">ſecent, quæ omnes lineæ
                <lb/>
              k l. </s>
              <s xml:id="echoid-s23861" xml:space="preserve">notentur. </s>
              <s xml:id="echoid-s23862" xml:space="preserve">Iam uero ut ſciamus arcus horarios ad Solis altitudinem excipiendam ſuper planum uer-
                <lb/>
                <note position="left" xlink:label="note-514.01.346-05" xlink:href="note-514.01.346-05a" xml:space="preserve">50</note>
              ticalis, a notis L. </s>
              <s xml:id="echoid-s23863" xml:space="preserve">ducendæ ſunt lineæ æquidiſtantes diametro uerticalis. </s>
              <s xml:id="echoid-s23864" xml:space="preserve">g c d. </s>
              <s xml:id="echoid-s23865" xml:space="preserve">uſque ad circumferentiam
                <lb/>
              meridiani, quæ g z. </s>
              <s xml:id="echoid-s23866" xml:space="preserve">literis continetur. </s>
              <s xml:id="echoid-s23867" xml:space="preserve">atque extremis earum linearum numeri horarum apponendi ſunt,
                <lb/>
              qui hic exempli gratia notati ſunt iuxta horas antiquas 11. </s>
              <s xml:id="echoid-s23868" xml:space="preserve">10. </s>
              <s xml:id="echoid-s23869" xml:space="preserve">9. </s>
              <s xml:id="echoid-s23870" xml:space="preserve">8. </s>
              <s xml:id="echoid-s23871" xml:space="preserve">7. </s>
              <s xml:id="echoid-s23872" xml:space="preserve">6. </s>
              <s xml:id="echoid-s23873" xml:space="preserve">quibus reſpondent 1. </s>
              <s xml:id="echoid-s23874" xml:space="preserve">2.
                <lb/>
              </s>
              <s xml:id="echoid-s23875" xml:space="preserve">3. </s>
              <s xml:id="echoid-s23876" xml:space="preserve">4. </s>
              <s xml:id="echoid-s23877" xml:space="preserve">5. </s>
              <s xml:id="echoid-s23878" xml:space="preserve">ſed 1 2. </s>
              <s xml:id="echoid-s23879" xml:space="preserve">ad g. </s>
              <s xml:id="echoid-s23880" xml:space="preserve">punctum uerticalis adſcribuntur. </s>
              <s xml:id="echoid-s23881" xml:space="preserve">Arcus igitur a puncto g. </s>
              <s xml:id="echoid-s23882" xml:space="preserve">ad undecimam,
                <lb/>
              uel primam horam pertingens, Solis altitudinem ſupra uerticalis planum g c d. </s>
              <s xml:id="echoid-s23883" xml:space="preserve">oſtendit primæ, uel undeci-
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              mæ horæ. </s>
              <s xml:id="echoid-s23884" xml:space="preserve">ſimilis ratio eſt de arcu ab g. </s>
              <s xml:id="echoid-s23885" xml:space="preserve">ad decimam, uel ſecundam horam, & </s>
              <s xml:id="echoid-s23886" xml:space="preserve">de reliquis arcubus reliquarũ
                <lb/>
              borarum, ex quibus Solis altitudo ſupra uerticalis planum habetur, cum Sol æquinoctialem circulum ambit. </s>
              <s xml:id="echoid-s23887" xml:space="preserve">
                <lb/>
              quod ſi libeat præter antiquas alias quoque ſpecies horarum deſcribcre, eadem diuiſione uti poteris, quoniam
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              omnia horarum genera in æquinoctialem pariter currunt. </s>
              <s xml:id="echoid-s23888" xml:space="preserve">Vnde ſi a meridie horas uelis, ubi eſt g. </s>
              <s xml:id="echoid-s23889" xml:space="preserve">notabis
                <lb/>
              6. </s>
              <s xml:id="echoid-s23890" xml:space="preserve">ubi eſt 11. </s>
              <s xml:id="echoid-s23891" xml:space="preserve">& </s>
              <s xml:id="echoid-s23892" xml:space="preserve">1. </s>
              <s xml:id="echoid-s23893" xml:space="preserve">facies 5. </s>
              <s xml:id="echoid-s23894" xml:space="preserve">& </s>
              <s xml:id="echoid-s23895" xml:space="preserve">7. </s>
              <s xml:id="echoid-s23896" xml:space="preserve">ubi 10. </s>
              <s xml:id="echoid-s23897" xml:space="preserve">& </s>
              <s xml:id="echoid-s23898" xml:space="preserve">2. </s>
              <s xml:id="echoid-s23899" xml:space="preserve">facies 4. </s>
              <s xml:id="echoid-s23900" xml:space="preserve">& </s>
              <s xml:id="echoid-s23901" xml:space="preserve">8. </s>
              <s xml:id="echoid-s23902" xml:space="preserve">ubi 9 & </s>
              <s xml:id="echoid-s23903" xml:space="preserve">3. </s>
              <s xml:id="echoid-s23904" xml:space="preserve">facies 3
                <lb/>
                <note position="left" xlink:label="note-514.01.346-06" xlink:href="note-514.01.346-06a" xml:space="preserve">60</note>
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