Index of Names and Subjects
abacus
187–189
Abbreviatio monacensis
217–218
acacia wood
152
Academy, of Plato
3, 65, 80, 231, 234
Ficino, Platonic Academy
392
Adelard, of Bath
177
Adrastus, of Aphrodisias
89–92, 99, 178
Aelian, Platonist philosopher
98
Aidesius, of Pergamon
138
Aimery of Poitiers, Count
cover image, 2–3
Alain of Lille, De planctu naturae
27, 203
Alberti, Leo Battista
387–388, 390–391, 396–406, 410–418
De Pictura
396–397, 411–414
De Re Aedificatoria
401–402, 406, 410
Albertus Magnus
279
Alexander, of Aphrodisias
332
Alhazen (Ibn al-Haytham)
388, 414
Ambrogio Flandino (ca. 1462–1531)
333
Ambrose, Saint
26
anatomy
32–34, 124, 373, 375–376
anatomical nomenclature
371, 374, 377–381
Anaximander
119
Anaximenes
66
ancient theology
.
see prisca theologia
anima
369, 373
anima princeps
380
animus
301–302, 369
Andromachus, the younger, of Crete, physician
315
Andronicus, the Peripatetic
120
anomalistic motion
87, 90–92
Anselm, of Canterbury, Saint
27, 209, 275–276
Apollo
22, Fig. 1.2, 148, 151, 153–154, 295, 317, 381
Apollonian song
295, 298
Apollonius, of Perga, mathematician
86, 350
Apollonius, son of Nestor, artist
38
Apuleius
38, 208, 213
Aquinas, Thomas
14, 190, 279, 354
Archimedes, mathematician
85, 120, 144, 147–149, 156–157, 389–390, 399–400
architecture
35–41, 57, 65, 134–161, 193, 255–284, 386–418
Archytas, of Tarentum, Pythagorean mathematician
65, 100–101
Argyropoulos, John
389–390
Aristarchus, of Samos
86
Aristides, Aelius
149
Aristides Quintilianus
19, 169, 175, 178, 185
Aristobulus of Paneas
25
Aristotle, philosopher
3, 23, 55–56, 61, 107–108, 120, 126, 173, 190, 204–205, 208–209, 237, 269, 277–281, 293, 321–328, 330–336, 338–339, 342, 351, 369, 373–374, 376–381
De Anima
190–191, 281, 369
De Caelo
23, 173, 324–328, 334–335, 351
De Generatione et Corruptione
331, 351
De Partibus Animalium
373
De Philosophia
138
Historia Animalium
373
Meteorologica
331, 334
Aristoxenus, of Tarentum
99–101, 167, 301
arithmetic
6, 15–16, 19–20, 39, 55, 58, 61–65, 77, 79–80, 207, 255, 259, 263, 347
arithmogeometry
78–80, 84
armillary sphere
61, 261–262, Fig. 9.2
arteries
370, 377–378, 380
Asclepius, Hermetic treatise
202
Asclepius, god
149
astrology
311
astrological music
311, 316
astronomy
2–3, 15–16, 19–20, 23–28, 54, 56, 74, 79, 83, 86–93, 311, 329, 342–361
atomism, geometric(al)
324–327, 329–331, 333, 337–339
Atlantis
53, 116
Atticus, second-century philosopher
38, 126
Augustine, of Hippo, Saint
5, 26, 31–32, 39, 205, 263, 271, 354, 357, 404
De doctrina christiana
204–206, 208, 213
Aurelian, of Réôme
175, 193
Averroes
14, 368
Avicenna
368
Bacon, Roger
414
De multiplicatione specierum
391
Baer, Nicolaus Reimer
350
Basil of Caesarea
156
Basil II, Menologion
235, Fig. 8.2
Bate, Henry, of Mechelen
12
Battisti, Eugenio
407, Fig. 14.5, 408–409
Bayeux (Augustodurum), Thermes Saint-Laurent
271–272
Being
17, 61, 73, 81, 116, 144, 201, 217–218, 262, 271, 397
Beni, Paolo
334–335
Bernard of Chartres
8, 21, 177, 256–259, 277
Bernard Silvester (Bernardus Silvestris)
177, 205, 212–213
Berengar, of Tours
208
Bessarion, Cardinal
12, 327–329, 331, 335–336, 338–339, 345
Bible
.
see Hexaëmeron, Vulgate
“blessed seed” (semen benedictus)
207
blood
117, 370, 378, 380
and bile
31
body
.
see World Body
body and soul
,
as elemental qualities
118–119, 121
music as intermediary between
294–295, 300, 309, 313–315
relation of
230–238, 245–246
unity or harmony of
167–168, 240–242, 244, 247–250, 305, 307, 348, 368–371
Boeckh, August
159
bonds, between the elements
66–67
Boethius, Anicius Manlius Severinus
6–9, 20–21, 26, 79, 153, 167–168, 172, 174, 178–179, 181, 183, 187, 189, 193, 202, 205, 208–209, 213–214, 217–218, 292, 389, 404–405
Consolatio Philosophiae
9, 202
Contra Eutychen et Nestorium
214, 217–218
De Arithmetica
205
Bologna, medieval teaching in
201, 203, 209–210
Bony, Jean
267, 274
Brahe, Tycho
350–351, 360
brain
31–32, 108–109, 111–112, 117–118, 123, 183 369–370, 373, 375–377, 379–381
Brucker, Johann Jacob
292–293, 318
Brunelleschi, Filippo
387–391, 398–400, 408–410
Bruni, Leonardo
389–390, 394, 415
Bruno, Giordano
358–359
Busbecq, Ogier Ghiselin de (Augerius Gislenius Busbequius)
242
Calcidius
3–8, 10–11, 19–20, 28, 31, 38, 167–170, 173–174, 177–179, 181, 183, 188, 201–202, 205, 207–208, 210–211, 213–214, 217, 229, 255–264, 268–271, 277, 282, 294, 297, 298, Fig. 10.2, 333, 347, 387–391, 393–394, 413–416
carpentry, image for creation of the world
35–36, 38, 144
Censorinus
174
Cesariano, Cesare
193
Champier, Symphorien
371
Chandelier, Joël
368
Charlemagne, coronation of
185
Chartres, Royal Portal
6
Chartres, school of philosophy
8–9, 11, 27, 203, 207–209, 213, 258, 271, 357, 387
Chenu, Marie-Dominique
201
Chi
169–170, 181, 259–260, 273
children, lack of reason of
114–115, 315
Choiseul-Gouffier, de, Marie-Gabriel Florent Auguste, Comte
139, 143, 159
chora
.
see Receptacle
Christology
246
Chrysippus
108–109, 374–375
Chrysoloras, Manuel
394
Cicero
208, 211, 346–347, 411
De Legibus
210
De Officiis
210
De Oratore
406
De Re Publica
174
Timaeus (De Universitate)
4–5, 8, 36–38, 144–145, 168, 229, 356
circle
29–31, Fig. 1.3, 146–147, 255, 266, 314, 400–401, 406, 410
.
sphere
circles of the Same and the Different
61–62, 69, 90–93, 259–262
squaring the circle
389, 399–400, 408–409
symbol of happy life
311
cithara, or lyre
155, 172, 185–186
Claudian
212
Clearchus, of Soli
178
Coleridge, Samuel Taylor, Rime of the Ancient Mariner
230
Colines, Simon de
371
colours
411–414, 418
concordia discors
295–296
consonance, and consonances
99, 189–194, 259, 270, 283–284, 296, 299, 302–303, 306, 308–309, 311–314, 316
Constable, Giles
203
Constantine the African
368
Copernicanism
344–346, 348–349, 352, 360
Copernicus, Nicholas
343–350, 360
Cornarius, Janus, translator
371n17
Cornford, Francis
xi, 67, 71–72, 326
Cornelius Labeo
5
Cornutus, philosopher
138
constellations
23, 155
cosmic music
155
.
harmony of the spheres, musica mundana
cosmology
23–28, 57, 136, 146, 175, 177, 235, 245, 268, 300, 402
as a model for ethics
302–303
cosmos
,
mathematical structure and harmony of
54–61, 70–75, 84, 86–89, 258–259, 292, 294–300, 303, 313
relation to the human soul
119–123, 301–302, 305, 306, 316–318
costruzione legittima
411–413, 418
Councils
,
Constantinople
680–681 (Sixth Ecumenical Council)
159, 245
1341, 1347, and 1351 (Synods)
250
Rome
649 (Lateran Council)
245
Crantor
178–179
Cratander, Andreas, ides
371
Critias
53, 116, 210
cube
59–60, 69, Fig. 2.2, 69–70, 72, 85, 141–142, 148–149, 156, 258–259, 323, 349, 351, 395–399, 402–403, 413–414, 415–416, 418
Curtius, Ernst Robert
202–203
cylinder
141–142, 144–149, 156–157, 266
Damascius
233–234, 236–237, 247–248
Dante Alighieri
177
Dardanus, Letter to
.
see Pseudo-Jerome
Das, Aileen
242
de Serres, Jean
333–334
Demiurge
17, 26, 33, 57–58, 63–64, 67, 70–74, 83, 121–127, 144–145, 154, 156, 168–171, 237–238, 241, 258–260, 262, 365–366
analogy with Moses
25
as God
149, 262, 354, 357
as model for artists and architects
16, 35–41, 57, 144, 263, 270–271, 275, 280, 295, 409–410
as model for musicians
19–20, 174, 190–192, 295
as ordering principle
148
association with Apollo
295
identified with the Sun
136–137
Democritus
337
“Descriptio Tertia”
178–179
Devinant, Julien
372–373
diagrams
cover image, 3, 9, Fig. 1.1, 17, 168–169, Fig. 6.1, 171, Fig. 6.3, 174–183, Fig. 6.4, 189, 194
dialectic
6, 77, 207, 209
diaphragm
366–367, 377–379
Difference (alteritas)
296, 304–306
diet, effect on body
117
Diogenes, of Apollonia
119
Diogenes Laertius
347, 392–393
Dionysius the Areopagite
245–246
Dioscorides, Vienna manuscript
242–243, Fig. 8.3
disease
28, 31, 113, 238–241, 316, 368
“divine majesty” (maiestas)
206
divisio animae
82, 94–98, 100–101, 108–111, 178
Dunchad, of Reims
175
Durham Cathedral
256–260, 263–278
copy of Timaeus at
8n29, 256–257
copy of glosses at
10, 256
copy of Platonic Notes at
257–258
dodecahedron, shape of the world
54, 59–60, 85, 156, 349, 352
eccentric circles
86–88, 91, 328
Ecphantus
344
eight, number
185, 188–189, 355
elements, four
4, 7, 24, 29, 31–32, 36, 53–54, 56–61, 65–68, 70–71, 85–86, 115–116, 118, 136, 150–151, 154–156, 215, 292, 321–324, 330–335, 337, 349, 351, 355, 358, 367, 393, 398, 413, 416, 418
elemental qualities
112–113, 118, 120, 127
Empedocles
66–67, 150
enjoyment (frui)
205
epicycles
86, 88, 93, 328
equalization, of the elements
142, 147, 154–156
equity (aequitas)
210–212, 219
Er, Myth of
19, 24, 90, 173, 300
Eratosthenes
87–88
Epicurus
139, 145, 151, 337
Erizzo, Sebastiano
333, 387–388n5
essence (essentia)
3, 27, 55–56, 81, 88, 216, 296, 304, 306–308, 354, 356
eternal motion, of heavenly bodies
157
ethical language, applied to physics
67–68
ethics
293, 302, 304
harmonic
306
mathematical
308
Eucharist
208, 357
Euclid
65, 84–85, 100, 147, 335, 343, 352–353, 396, 400
Eudemus of Rhodes
24
Eudoxus, of Cnidus
24, 65, 86–87, 147
Euthymius Zigabenus
152
Ezekiel
157
Farnese, Alessandro, Pope Paul III
344
Favonius Eulogius
174
Feliciano, Giovanni Bernardo (Johannes Bernardus Felicianus), known as Regazzola
371
Ficino, Marsilio
3–6, 12, 14, 32–34, 71–72, Fig. 2.3, 291–318, 330–331, 333, 339, 343, 347, 358, 389, 392, 398, 403–405, 407, 409, 414–415
Compendium in Timaeum
28, 32–33, 293, 295–300, 303, 307, 309, 311–316, 330–334, 347, 398
fifth (sesquialtera)
18, 72–73, 95, 97, 99, 167, 174, 178–179, 181, 189–190, 296–297, 306, 309, 314
Filarete (Antonio di Pietro Aver(u)lino)
390
fire
31, 56–57, 59, 61, 66, 85, 115, 132, 136, 138, 156, 232, 323, 329, 344, 392, 413, 415–416
Fleury, monastery of Saint-Benoît-sur-Loire
209
Florence
,
humanism at
387–393
Platonism at
389–390, 392–393
street plan
402
teaching of Greek at
394
S. Maria del Fiore, Cathedral
387–388, 399–400
Palazzo Medici
402–404, Figs. 14.3–4
Palazzo Strozzi
402
Palazzo Vecchio
395, 397
Ringhiera (orator’s platform)
397
Piazza della Signoria
394–398
S. Marco, Dominican convent and library
390–391
S. Maria degli Angeli
,
Camaldolese Convent
392–393
Rotunda (“Tempio degli Scolari”)
400, 407–408, Figs. 14.5–6
Fludd, Robert
29–31, Fig. 1.3, 309–311, Fig. 10.4
fourth (sesquitertia)
306
Fox Morcillo, Sebastián
332–333, 339
Francesco di Giorgio Martini
.
see Martini, Francesco di Giorgio
Frankl, Paul
264–268, 272, 275–277
Frederick I, Duke of Württemberg
346, 349
friendship (philia), between elements
66–68, 147, 153
Frigillanus, Matthaeus
333
Fulbert, Bishop, of Chartres
207–208
Gaffurius, Franchinus
Fig 1.2, 22, 174–175, Fig. 6.5, 184, 188, Fig. 6.6, 193–194
Galen
7, 10, 31–34, 40, 106–127, 137, 139, 149, 160–161, 229, 238–247, 250, 368–382
De Placitis Hippocratis et Platonis
107, 371, 373, 375, 377–378, 381
Introduction to the Art of Medicine
368
On the Medical Statements in Plato’s Timaeus
107
synopsis of the Timaeus
115–116
That the Capacities of the Soul follow the Mixtures of the Body
107, 111–119
Galileo Galilei
336, 344
gamut
177–178, 182–183
Gaudentius, musical theorist
100–101
Geminus
77
Genesis
.
see Hexaëmeron
geoheliocentrism
351
geometry
16, 20, 23, 28, 35–40, 55, 57, 58–61, 63–65, 77–80, 83, 85–86, 139–150, 156–157, 160–161, 207, 255, 259–262, 265–267, 270, 273–277, 281–283, 323–324, 333, 351, 353, 355–357, 360, 391, 394–398, 399–403, 407–418
George of Pisidia
244–247
George of Trebizond
327, 390
Gerbert, of Aurillac
183, 187–189
Ghiberti, Lorenzo
388, 390–391
Giese, Tiedemann
345–346
Gilbert, of Poitiers
218
Giles, of Viterbo
415
Giorgi (or Zorzi), Francesco
29, 35, 283–284
De harmonica mundi
283
Giorgio (Martini), Francescodi
39–40, Fig. 1.4
glue, as image for bonding the earth
150
God, knowledge of
.
see knowledge of God
God’s will (voluntas Dei)
206, 212, 219–220
gods, Olympian
6
Gratian, Concordia discordantium canonum
201
Greater Perfect System (GPS)
170, 172–173, 176–177, 181–183, 187
Gregorian Chant
178
Gregorian Reform
203–204
Gregory Palamas
249–250
Grosseteste, Robert
263, 278–283
Commentary on Aristotle’s Posterior Analytics
279
Commentary on Aristotle’s Physics
263
De lineis, anguis et figuris
279–283
De Luce
281–282
Guido of Arezzo
177, 182–183, 189, 194
Guidonian Hand
182
Guinther, Johann, von Andernach
33, 371, 373
harmonics, musical
3, 11, 17–20, 40, 88–89, 94–102, 168–173, 293, 299–301, 317–318, 401–402, 404–405
harmony of the humours
32, 301–305
harmony of the spheres
3–4, 5n18, 18–19, 21–22, Fig. 1.2, 73, 170, 259, 298–300
harmony, cosmic
4, 18–19, 88–89, 102, 153–156, 271, 294, 298
health, mental and physical
32, 34, 236, 241, 248, 304–305, 315, 348, 365, 367
hearing
74, 183, 301n32, 302–303
heart
31–32, 108–109, 111–112, 262, 306–307, 309, 367, 369–370, 373–381
Heath, Thomas
326
Heidegger, Martin
394
Heiric, of Auxerre
175
heliocentrism
4, 27–28, 344–345, 350–352
Heraclides, of Pontus
344
Heraclitus
119, 151n67
Hermes, lyre of
170
Hermes Trismegistus
342
Hermocrates
210
Hesychast Controversy
249–250
Hexaëmeron, Genesis, alignment with Timaeus
10, 24–28, 37, 154, 156, 160, 205–206, 214–216, 219, 244
Hipparchus
86–87, 91, 120, 345
Hippocrates
106–107, 108–111, 125, 342, 371, 375, 378–380
Hisdosus, De anima mundo platonica
177
Holy Spirit (Spiritus Sanctus)
356–359
homoeomerous bodies
112, 114
Hrabanus Maurus, De Universo
184
Hucbald, De Musica
172, 177–178, 181–183, 186, 188–189
Huglo, Michel
169n4, 178–181
Huguccio, of Pisa
200–201, 204
Derivationes
200
Summa Decretorum
201
humanism, Italian
386–387, 389–393
humanism, civic
393–394, 397, 418
humours
7, 31–32, 110, 118, 301, 304, 315, 370
Hunayn ibn Ishāq
10, 106n2
Isagoge Johannitii
368
hylomorphism
112
Iamblichus
79, 233, 237, 245, 308n54, 332–333, 347
iconoclasm, Byzantine
235
imagination
306–309
Inchiriadon
169, 180
incommensurability
64–65, 413, 415
infinity (infinitudo)
296, 304, 306
instruments, musical
20–21, 175, 180–189, 194, 270n60, 292, 303
intelligence
20, 27, 58, 114–116, 118–121, 124–127, 258, 306–307
irascibility
307–308, 374–377
Isidore, of Seville
168, 177, 179, 183, 185–186, 263
Isidotus, Aelius, geometer
135, 139, 140n24, 153n76, 159–160
isopsephic texts
135–136, 140–144, 153
Jacquart, Danielle
368
Janus Quadrifrons
417–418, Fig. 14.8
Jeremiah, prophet
151
Jerome, Vulgate
204
.
Pseudo-Jerome
Jesus, activities of
246
Jewish responses to Timaeus
25, 37
Johannes Ciconia
193
Johannes de Muris
192–193
Johannes de Sacrobosco
261
John of Salisbury
,
Historia Pontificalis
218
Policraticus
219–220
John Scot Eriugena
175–176, 202
Joly, Robert
365
Jowett, Benjamin, on the Timaeus
53n1
Juliana Anicia
242
justice, natural (iustitia naturalis)
209–215
justice, positive (iustitia positiva)
210–211, 214–215
Kepler, Johannes
4, 27–28, 54, 342–361
Klibansky, Raymond
256
knowledge of God (cognitio Dei)
207, 213, 216, 220
Ladner, Gerhart
203
Lambda, of World Soul
9, Fig. 1.1, 17, 169, 178–179, 258–259, 401
Laon Cathedral
270
Larrain, Carlos J.
107, 122, 242
law
53, 209–212, 219
natural (ius naturale)
210–212, 216, 219–220, 356, 365
Lawrence-Mathers, Anne
258
Le Bec, Abbey of Notre Dame
209
Leo III, Pope
185
Le Roy, Louis
333–334
Lesser Perfect System (LPS)
170, 181–183
Leucippus
337
Liberal Arts
6, 16, 175, 207–208
limit (terminus)
296, 304–306
Lincoln Cathedral
263, 267, 279–283, Fig. 9.8
lineamenta
405–406, 418
likeness (simulacrum)
31, 35, 38, 58, 145, 157, 216, 281, 283, 297, 334, 397n36, 406, 409, 415
lira da braccia
303
Logica Vetus
211
Lorusso, Vito
242
Louvain (Leuven), Pedagogium Castrense
369, 372
love
214, 315
Lucca
209
lyre, ancient
155, 170, 171, 173, 183, 185n61, 294, 301–303
.
cithara; lira da braccia; Orphic lyre
Lysis
345
machine (machina)
204
machine of the world (machina mundi)
218–219
Macrobius
4, 8–9, Fig. 1.1, 168, 173, 177, 190, 213, 271, 295, 299–300, 305, 389
on Pythagoras
190
Commentary on the Dream of Scipio
171, Fig. 6.3, 174, 177, 187n67
Maestlin, Michael
346, 356, 359
maiestas
.
see “divine majesty”
Manegold, of Lautenbach
206–209
Liber contra Wolfelmum
206–209
Manetti, Giannozzo
390, 393
Manichaeans
245–246
March, Lionel
401, 405
Marchettus, of Padua
190–193
Margaritae, anthologies
368–369
Marius Victorinus
5
Martianus Capella
6, 168, 174–176, 183, 185, 189n72, 213, 350–351
Martin, of Laon
175
mathematics
11–12, 15, 21, 28, 54–75, 77, 79–86, 101–102, 144–149, 153, 156, 209, 250, 275–276, 293, 321, 324, 335, 347, 352–357, 360, 391
.
arithmetic, geometry
matter
23, 26, 38, 211, 258, 271, 280–282, 284, 298, 308–309, 321–322, 327, 332, 359
Maximilian II, Holy Roman Emperor
242
Maximus the Confessor
245–246
Mazzoni, Jacopo
335–339
McEvoy, James
263
means, arithmetic and harmonic
66, 72–73, 82, 94, 98, 169–170, 295–296, 414
Medici, Cosimo de’
390
medicine
2, 6–7, 10, 29–34, 107, 110–111, 119–123, 238–245, 247, 295, 315, 365, 367–373
Melanchthon, Philipp
357
Metcalf, Priscilla
264
metempsychosis
246
Mette, Hans Joachim
179
Miaphysites
161
Michelozzi, Michelozzo
390
Mithridates VI, of Pontus, medical remedies
315
mixtures, of the body
111–119
moderation
.
see temperance
Mondino dei Luzzi (Mundinus)
373
“Monothelite Controversy”
246
Moore, Kathryn Blair
403–404
Moraux, Paul
242
Moses, Creation account attributed to
24–26, 150–156, 160, 354
motion, in the cosmos
6, 23–24, 27, 57, 62–64, 79, 81, 83, 86–87, 90–92, 121, 141, 142, 148, 155, 157, 296, 299–300, 330, 344–345, 347, 352, 359–360
Muses, and geometry or harmony
20, 22, Fig. 1.2, 142, 148, 153–154, 175–177, 187, 302
music
,
as palliative for the soul
20, 294–296, 301–304, 309–311, 313–316
ethical function of
20–21, 291
three kinds of
20–21, 39, 167–168, 291, 293–318
Musica Enchiriadis
177n34, 180–183, 188
musica humana
40, Fig. 1.4, 167–168, 186, 300–311
musica instrumentalis
167–168, 172, 186, 311–316
musica mundana
167, 171–172, Fig. 6.3, 173–177, 186–187, 293–300
musical intervals
17–19, 72–73, 94–101, Fig. 3.4, 167, 169, 172–174, 176, 181–183, 189, 194, 296–297, 299, 306, 311, 316, 401
musical theory
94–101, 167–194, 293–318
nascor
200
natura
200–201, 204, 214, 217, 220
Nature, ideas of
23, 26–28, 37, 81, 124–126, 137, 153, 200–221, 293, 329, 343, 355–359, 410
Nebuchadnezzar
157–158
need (indigentia)
216
Neoplatonic doctrines
4–5, 156, 183, 203, 205, 292, 308, 311, 317, 327, 331, 335, 338–339, 343, 354n49, 358
Plotinus, Proclus
nerves
376–377, 380–381
Niccoli, Niccolò
390–391
Nicholas of Cusa
357, 399–400, 406n71, 416n103
Nicodemus, Iulius, architect
135, 138–139, 143–144, 159, 160
Nicomachus, of Gerasa (Jerash)
78–85, 168, 169n5, 170, 172, 174, 183–185, 414
Nicon, Aelius
134–161
Nikulin, Dmitri
260
nine, number
308n54
number
3, 6, 16, 31–32, 39, 55n9, 57–58, 62–63, 81, 83, 158, 169, 183, 260, 270–271, 386, 389, 400, 406
as key to the universe
3–4, 6, 58, 81, 153, 158, 270–271
Numenius
5
nutrition
367, 376
octave (dupla)
18, 72, 96–97, Fig. 3.4, 99, 167, 170, 172, 174, 176, 181–182, 187, 189, 194, 296–297, 305–306, 309–310 Fig. 10.4, 311n58, 312, 314n68
Olympia, Olympian Zeus, statue
38
one, number
70, 259
Oporinus, Johannes
372
optics
267, 280–283, 352, 391, 398, 414
.
perspective; pyramid of vision
order (ordo)
204, 208, 213
order, natural (ordo naturalis)
208, 213, 217–218
order of creation
213
organ, of pipes, and other organs
181–184, Fig. 6.5, 185–190, Fig. 6.6, 193
organs, bodily
108–109, 370, 372–381
Orpheus
294
Orphic Hymns
136–137, 313
Orphic lyre
294
oracle for Creation
151–152
Ovid
212
painting, as an image for creation of the world
35–36, 418
Palladio, Andrea
284
Quattro libri
284
Pevsner, Nikolaus
264
Pappus, of Alexandria
85, 410n81
Paris
,
Basilica of Saint Denis
264
centre of learning
11, 33, 190, 203, 371–372
Parmenides
119, 144–145
Patrizi, Francesco, da Cherso
12
Paul II, Pope
.
see Farnese, Alessandro
Peckham, John
414
Pergamon
,
Church of St John, in ‘Red Hall’
158
Church of St Theodore
159
Lower Agora
135, 139, 159–161
Plateia of the Paspareitai
159–160
Temple of Zeus Asclepius Soter
149, 160–161
perspectiva artificialis and naturalis
391–392, 413–414, 418
perspective, linear
411–418
Peter Abelard
11, 209
Peter Damian (Petrus Damianus)
206–208
De bono religiosi status
206
Petrus de Cruce
191–192
phenomena, “saving” of
24, 26–28, 60–61, 87, 155, 321, 329, 335–337, 339
Phidias, artist
38
Phillips, Nancy
180
Philo of Alexandria
25–26, 37–38, 135n9, 138, 144n33, 145, 150, 152
Philolaus
55, 70n61, 100, 344, 347, 393
Philoponus, John, the Grammarian
26–27, 154–156, 158–159, 161
phrenes
378–379
phthongoi, sounds or tones
176
physics
209, 213–214, 218, 293, 335, 355
physis
202, 207–208, 212–213
Pico della Mirandola
12, 415
Pierozzi, Antonino
,
Summa Theologica
390–391
Pintore, Angela
404–405
planes
66–67, 69, 264, 324–327, 334, 336, 411, 414
planetary motion
18, 24, 27, 86–87, 90–93, 167, 170, 172
planetary spheres
22, Fig. 1.2, 29, 167, 172
planets
23–24, 28, 31, 37, 56–58, 62, 87–93, 167, 170–174, Fig. 6.3, 176, 193, 260, 297–300, 349, 351, 355, 359–360
associated with Muses
187n67
Plato
passim; for specific passages,
see Index Locorum
Academy of, closure in 529
234
Forms
26, 54, 106–107, 270, 354n49, 405
on location of the faculties
370
on sensation
323
on veins and arteries
378
Laws
106n2, 312, 365
Meno
5n16, 394
Phaedrus
236, 348
Republic
14, 19, 23, 53, 109, 114, 116n32, 210–211, 214, 300, 306, 315
Republic 4
108, 304
Republic
6
Divided Line
88, 270, 277, 280
Republic 7
77–79, 84, 88, 101–102
Cave allegory
270
Republic
10
=Myth of Er
173
Timaeus
passim; for specific passages,
see Index Locorum
Arabic version
10, 106–107, 117, 122n56, 229, 242
as Pythagorean text
7, 21, 55–57, 101, 168, 299, 303, 311, 321, 331, 343–355, 358–361, 387–388, 393, 401, 405
as study of natural justice
210–211, 214–215
commentaries on
3–6, 8–12, 15, 17–21, 28–29, 39, 89, 93, 107, 110, 116–117, 122, 178–179, 183, 202, 205, 207–208, 210, 232, 242–243, 249–250, 255, 257–258, 262, 268–269, 291–300, 302–309, 311–318, 331–332, 334, 347, 387, 389–391, 393–394, 399, 413, 416
manuscripts of
8, 12, 26, 178, 229, 243, 255, 257–258, Fig. 9.1, 260, 387
reception of
8–41, 75, 135–139, 144, 167–194, 207, 236–244, 291–293, 321, 338–339, 342–343, 360–361, 370, 386–394
Stephanus edition
334
Stoic reception
25
translations
4–6, 8, 10–12, 20, 28, 36–37, 144–145, 168, 202, 229, 256, 258n12, 271, 291, 347, 387, 390, 411n83
Platonic Notes
10, 257, 259
Plethon, George Gemistos
389–390
Pliny, the Elder
174, 176
Plotinus
4, 148, 231, 233–234, 236–237, 240, 245, 292, 298n23, 305, 309, 317, 354n49, 357
Plutarch
38–39, 85–86, 88–89, 101, 126, 178, 179n42, 297
pneuma
118n40, 120, 123, 369–370
Poggio Bracciolini
390, 415
Porphyry, of Tyre
4–5, 156, 179, 231, 237, 303n41, 312
poverty (inopia), of nature
206
poverty (paupertas)
219
Praetextatus, Vettius Agorius
149
prayer
20, 249–250, 312
prime matter
112
prisca sapientia
349, 351
prisca theologia
291n1
Proclus, of Lycia
5–6, 11–12, 14, 19–20, 23, 26, 79, 93, 98n65, 145, 153, 156–157, 178–179, 231–234, 236–237, 242–245, 249, 294, 303n41, 304–306, 308–309, 312, 314–315, 317, 326–327, 332–337, 339, 342–343, 347, 351–354, 409
proportions
11, 18–19, 29, 35–36, 39, 55, 59, 64–74, 82, 167, 181, 192n85, 194, 209, 248, 258, 276, 284, 294, 297, 299, 306, 348, 355, 402, 404–405, 411, 415
Prosdocimus de Beldemandis
192
Psellus, Michael
,
Chronographia
230, 238
On Medicine
238–241
On Plato’s Phaedrus
230, 236
On Sensation and Things Sensed
230
Pseudo-Jerome, Letter to Dardanus
183–187
Pseudo-Odo, Dialogus de Musica
182
Pseudo-Plutarch, Placita Philosophorum
344
Ptolemy
24, 27, 87, 100, 154, 172, 174–175, 177, 179, 346
Purnell, Frederick
336
Pyramid Texts
231–232, Fig. 8.1
pyramids
56n16, 72, 145–146, 156, 337
pyramid of fire
156
pyramid of visión
156, 411–418
Pythagoras
18, 25, 138, 167, 170, 172, 174, 183–185, Fig. 6.5, 188n70, 190, 193, 211, 294, 342, 345, 346–347, 349–350, 352, 404
Pythagoreanism
15n50, 55–57, 64, 70, 99n74, 117, 138, 173, 311, 343, 346–353, 387–388, 393, 396–397n35, 401, 405, 414
quadrivium
8–11, 15–16, 19–20, 23, 40, 77, 79, 88–89, 93–94, 101–102, 207, 255, 259, 293
Quintilian
411
Ramus, Peter
351, 353
Ravenna, S. Vitale
410
reason
21, 27, 63, 74, 114, 157, 220, 261–262, 269, 297, 305–308, 315–316, 357, 367, 370, 375
Receptacle (chora), in Timaeus
23, 26, 57–59, 64n45, 271, 322–323, 405–406, 413
receptacle of public speech (metaph.)
397
Reims Cathedral
270
Reims, medieval learning at
209
Reims, Synod of (1148)
218
reincarnation
121, 245
Reisch, Gregor
369
Remigius, of Auxerre
175, 176n29
Renaissance, Early
386–388, 391–394
rest (status)
296, 305
rete mirabile
370
Reydams-Schils, Gretchen
262
Rheticus, Georg Joachim
344–348
rib vaulting
263–277, Figs. 9.5–7, 280, 282–283
Romanus III Argyrus
238
Rome
Belvedere Torso
38
Capitoline Jupiter, temple and statue
38
Pantheon
148, 157, 161
Roscellin (Roscellinus), of Compiègne
209
Rudolf II, Holy Roman Emperor 1576–1612
346
Rufinus, Lucius Cuspius Pactumeius
149, 160–161
sacra doctrina
204
Salutati, Coluccio
389, 391, 394, 397, 414
Sameness (identitas)
.
Difference (alteritas)
17, 61, 71, 73, 296, 304
scales, musical
88, 168–169, 172–174, 176–183, 194
Scolica Enchiriadis
177, 179–182, 186–188
secrecy
345–346
Sergius, bishop, of Tella
154
Sergius, Patriarch of Constantinople
244
Serlio, Sebastiano
417–418, Fig. 14.8
Servetus, Michael
358
seven, number
4, 173, 186, 300, 355
Severus, Platonist philosopher
98n65, 179
shape of the world
36, 60, 102, 136, 140–142, 144–148, 156–157, 366
sickness
32, 74, 238–241, 248
sign (signum)
204–205, 213, 216
signs (signa), ambiguous (ambigua) or unknown (ignota)
205
Simplicius
24, 157, 326–329, 331, 332, 334–339
Simson, Otto von
270–271
Siraisi, Nancy
369
Sirens
173
six, number
297, 355
Socrates
23, 25, 35, 53, 67, 77, 110–111, 154, 210–211, 214–215, 301n33, 346–348
solids, Platonic
58–60, 66, 68–71, 83, 85–86, 141–148, 153, 156, 161, 258, 276, 321, 322–323, 325, 327, 337–338, 349–350, 352–353, 355, 398, 405n65, 413, 415
Somfai, Anna
255
Sosigenes
24
Soul
.
see World Soul
soul, human
,
as harmony
303–304
division of
262, 308n55
immortality of
33
independence from body
301, 309
movements within
302–303
passions of the
247, 307, 315
powers of
108, 304, 306
substances of
108–109
space
23, 58–61, 63–64, 83, 263, 267, 275, 277, 297, 322, 359, 396–398, 404, 407
species
280–282
speed, lack of discussion of
62–64, 74–75, 352
sphere, as shape of the world
29, 36, 60n25, 61–62, 71, 83, 85–86, 91–93, 141–149, 156–158, 255, 258, 260, 299, 311, 349, 353, 355–356, 398–399, 406, 409, 416n105
nobility of, identity with the Trinity
355–357, 359
“sphericity”
398
spirit, human
298, 309–311, 313, 315
.
World Spirit; spiritus
spiritus
369–371
spiritus animalis and naturalis
370, 380
squares
24, 64, 269, 323, 335n50, 394–396, 399, 402, 406
Stackelberg, von, Otto Magnus
139–140
Stahl, William Harris
176
Stinger, Charles
394
Stoics
5, 7, 25, 106n1, 108, 120, 126, 137–138, 145, 148, 150, 161, 201, 203, 211, 305n41, 374–376
Studia Humanitatis
386n2, 393, 411
Suda
236, 238, 244, 247
Sun
23, 27–28, 62–63, 90–93, 120, 123, 126n66, 136–138, 142, 146, 148–149, 153, 157–158, 161, 173–176, 257, Fig. 9.1, 260, 299, 348, 351, 354n46, 356, 359–360
symmetry
,
between Platonic solids
153
in temple architecture
401
in body and soul
247–248
in the cosmos
156, 348
sympathetic vibration
298
sympatheia
140, 148, 153, 161
Synods
.
see Councils
Syrianus
237
Tabernacle
151–152, 361
technical exegesis
12, 88, 98
temperance
304–308, 312
temple, analogy with universe
38–39, 263
ten, number
56, 72, 268, 355, 401
Terpander
170, 186
tetractys, Pythagorean
71–72, 177, 259, 268, 281, 401
Theaetetus
59, 64–65n46
Themistius
208
Theodorus, of Asine
233
Theodorus, of Cyrene
64–65n46, 65n48, 179
Theodorus, of Mopsuestia
157
Theodorus, of Soli
179n42
Theon of Smyrna
12, 17, 21, 71, 78, 84n26, 89–93, 99, 101, 174n19, 178n36, 258, 264, 281–282, 401, 414
Theophrastus
109, 374
Thierry of Chartres
9–10, 213–214, 216, 256, 357
Tractatus de sex dierum operibus
213–214
thing (res)
205–207
Timaeus
.
see Plato, Timaeus
Timaeus, of Locri
169n5, 179, 211, 283, 346–347
time
16, 31, 61–64
tone, whole (sesquiottava)
72–73, 95–97, 99–101, 188, 190, 296
tone, divisibility of
100
Toscanelli, Paolo dal Pozzo
399–400
Trachtenberg, Marvin
394–396, Figs. 14.1–2
Traversari, Ambrogio
392–393, 410
triangles
59–60, 65, 68–71, Fig. 2.1, 74, 169, 178, 193, 259, 296–297, 304, 307–309, 321–329, 332, 335, 338, 355, 397, 399–401, 409, 411, 413–414, 418
Trinity
354–360, 401
tripartition of the soul
.
see divisio animi
trivium
207
use (uti)
205
Valla, Lorenzo
415
Varro, Marcus Terentius
174
veins
32, 108, 370, 377–379
vena cava
379–380
Velleius, Epicurean philosopher
36, 145
Venice, S. Francesco della Vigna
35, 283–284
Vesalius, Andreas
33–34, 369–382
Vicar of Christ (Vicarius Christi)
218
Villard de Honnecourt
270
Virgil, Aeneid
186, 202, 359
virtus
280–282, 305, 369
vis
369
vis animae vitalis
380
Vitello (Witelo)
414
“Vitruvian Man”
29–30, Fig. 1.3, 399, 401
Vitruvius, De Architectura
7, 37, 267n43, 268, 348, 388, 401
Vulgate (Bible)
25, 204
Walsh, Robert, chaplain
159
water, inundation at start of the world
24, 37, 136, 138, 141, 150–151
“well-temperedness” (contemperatio)
313–314
Westminster Abbey
278
will
157, 246, 306–307, 373
William I, of England, “the Conqueror”
264
William de Carilef (or Calais)
264
William of Conches
8–9, 27, 177, 205, 214–216, 219, 256–257, 357
Glosses on the Timaeus
214–216
William of Saint-Thierry
263, 358
William of Moerbeke
12, 14, 229
Williams, Peter
186
Wittkower, Rudolf
255, 406, 410
World Body
29, 58, 65–68, 70–71, 73, 83, 262, 295
world harmony
21, 27, 291–292, 299, 317
World Soul (anima mundi)
1–7, 9, Fig. 1.1, 17–21, 24, 29, 31, 35–36, 39, 61–64, 71–75, 82–84, 88, 90, 101–102, 115, 167–173, 181, 190–191, 193–194, 261, Fig. 9.2, 262, 268, 270–271, 295–297, 302–304, 306, 309, 313, 316–317, 357–359, 365–366, 401, 405
World Spirit (spiritus mundi)
309, 315–316
Wulfstan
187
Xenocrates
3
Zeno
374
Zodiac, signs of
31, 85, 90, 171, Fig. 6.3, 193, 257, Fig. 9.1, 260–261, Fig. 9.2, 311, 352
Zoroaster
342