Library/Paris Manuscript I

Paris Manuscript I

Manoscritto I

Images: Bibliothèque de l'Institut de France, Paris · All credits

1
Front cover of the limp vellum binding
2
Inside front cover with fore-edge flap and closure peg
3
Back cover of the limp vellum binding
4
Binding unfolded: back cover, spine, and fore-edge flap
5
Spine of the vellum binding with faded title inscription
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Fore-edge of the text block with coloured endband
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Binding: Vellum Spine of the Notebook
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Binding: Spine and Fore-edge
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Binding: Head Edge with Endband
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Front Flyleaf with Institut de France Stamp
11
Blank Front Flyleaf
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Front Flyleaf with Pen Trials and Library Stamp
13
GeometryDividing a line and turning a triangle into a parallelogram
14
GeometryPerpendiculars, parallels and squares built on a given line
15
GeometrySquares on a divided line and tangents to a circle
16
GeometrySquares on a divided line, with worked numerical examples
17
GeometryRational and medial products on a divided line
18
GeometryDividing a line: the gnomon and the square of the whole
19
GeometryBisected line extended: rectangle plus square equals square
20
GeometrySquares on a line divided into 8 and 4 (Euclid II.7)
21
GeometryA line extended, and the square on 16 (Euclid II.8)
22
GeometryProving Pythagoras: the 3-4-5 triangle and squares on the sides
23
GeometryEqual squares on an isosceles right triangle: a congruence proof
24
GeometryThe gnomon and Thabit's theorem ('De Tebit')
25
GeometryProducts as areas: squares, rectangles, gnomons, Pythagoras
26
GeometryMultiplying lines to form rectangles
27
GeometryDividing a line and its square into three parts
28
GeometryFourth: a line of 12 divided into 4 and 8
29
GeometryLine of 12 split into 8 and 4, with diagonal construction
30
GeometryCorollary of the fourth: square split into two rectangles
31
GeometryDividing lines, gnomons and decomposed squares
32
GeometryLine divisions and figures of the Pythagorean theorem
33
GeometryRight-angled triangles and the doubling of a square
34
GeometryPerpendicular from a circle's centre onto a chord
35
GeometryTwo chords crossing off-centre inside a circle
36
GeometryIntersecting circles, with the rule of branching trees and waters
37
GeometryGeometry: Tangent Circles and Groups of Crossing Lines
38
GeometryCircle Constructions and a Water-Filled Pipe
39
HydraulicsA Pipe Projecting Water, and Lines Drawn to a Circle
40
Physics & MechanicsOn Motion and Impact: Descending a Staircase in Leaps
41
Weapons & FortificationNotes: a Gun-Barrel Test, a Maxim, and a Lasso Puzzle
42
GeometryQuadrilaterals Inscribed in Circles
43
GeometryGeometry of angles inscribed in circular segments
44
GeometryCircular-segment dispute with knot and chain sketches
45
Physics & MechanicsThe effort of raising versus dragging a load
46
Optics & LightOn common perspective: apparent thickness and background colour
47
Optics & LightIrradiation: dark and light objects against contrasting grounds
48
ArchitecturePencil ground plan of a building with dimensions
49
Weapons & FortificationPlan of a castle (Milan?) with fortification details
50
Optics & LightExperiment on the pupil and the apparent size of stars
51
Weapons & FortificationDetails of fortifications
52
Machines & DevicesRotating cylinder with perfected pivots
53
Machines & DevicesScrew-and-wheel gearing driven by a water wheel
54
Physics & MechanicsQuestions on impact and on a loaded cord
55
Physics & MechanicsThe centre of gravity and the balance of the water-screw
56
Physics & MechanicsWhich pivot turns more freely? Angular balances and screws
57
Machines & DevicesA drill for boring crystal, with screw and balance studies
58
ArchitectureAngular tower and decorative sketches
59
Ornament & HeraldryDecorative designs: shields and a fortified building
60
Ornament & HeraldryDecorative designs: escutcheons, leaves and emblems
61
Ornament & HeraldryOrnamental shell, cartouche and honeycomb studies
62
Machines & DevicesNote on the best pinion, and a houseleek-in-flames motto
63
Machines & DevicesPeg wheel and worm screw; friction of the lantern pinion
64
Machines & DevicesToothed wheel and lantern pinion: turning and rubbing
65
Sculpture & CastingEgg-white and glue moulds for casting vessels
66
Sculpture & CastingSlotted kiln and vessel moulds; Paolo's rule on gears
67
Machines & DevicesLock for the Duchess's bath; the blow of a rebounding body
68
HydraulicsPlan of canal lock-basins and a defensive earth embankment
69
Ornament & HeraldryA vase and related drawings
70
Machines & DevicesBolt, a counterweight door, and a pivoted rod with pulley
71
GeometryCircle theorems: chords, secants, tangents and Pythagoras
72
GeometryCubes on a triangular prism, Pythagoras, and tangent-secant circles
73
Machines & DevicesLifting mechanism with spring and screw
74
GeometryTangent and secant of a circle; the Pythagorean theorem
75
Machines & DevicesLifting mechanism; plan of the Milan castle moats
76
Machines & DevicesScrew-and-lever hoisting mechanism
77
Optics & LightOn luminous rays and the power of their extremes
78
Physics & MechanicsCircle and square; infinite slowness and speed of motion
79
Personal NotesHeating the duchess's bath water, and a seated man
80
Optics & LightOptical study with two circles
81
Optics & LightOptical study: rays converging on a circle (a, a, b)
82
Machines & DevicesWater wheel and spiral screw pumps
83
Physics & MechanicsWeights on rotating arms and on pulleys
84
Physics & MechanicsFriction at a pivot; a water cylinder and a bell balanced
85
Machines & DevicesOven and Heating Stove
86
Optics & LightShadows Cast by Sunlight: Tree and Pyramid
87
Optics & LightShadow of a Pyramid, with a Friction Study
88
HydraulicsLatin Verb 'To Be' and a Plan to Flood a Castle
89
Language & LatinLatin Verb Conjugation Table
90
Machines & DevicesFulling-Mill Shaft and a Prophecy of Lies
91
Language & LatinLatin declension of the pronoun qui, quae, quod
92
Physics & MechanicsPendulum and beam: indeterminate figures
93
GeometryGeometry: circles, squares, Pythagoras and cubes
94
Physics & MechanicsOn percussion: hammer blows, colliding balls, a wedge
95
Weapons & FortificationTriangular framework, possibly a fortification detail
96
Machines & DevicesIndeterminate figures: a wheeled device and a pod
97
Optics & LightWhy a sphere seen with two eyes never looks perfectly round
98
Physics & MechanicsBouncing as reflected motion; a wheel divided into sectors
99
Physics & MechanicsTwo rods: the lifting power of the longer rod
100
Physics & MechanicsWhere a loaded wheel and rings suffer the most strain
101
Physics & MechanicsWhy a pivot wears unevenly: the knife-grinder's wheel
102
HydraulicsSection of a watercourse; a note of a weaver
103
Arithmetic & ProportionMultiplication sums and an indeterminate figure
104
LandscapeRapid sketch of a mountainous landscape
105
CartographyRough sketch-map of the Mediterranean
106
Machines & DevicesWaterwheel and lantern-gear pinion
107
Painting & PerspectiveWhy distant mountains turn blue
108
Machines & DevicesRolling mill for thin tin plate
109
Personal NotesOpening leaf of Notebook I2 with faded inscriptions
110
Painting & PerspectiveCloth account, perspective notes, a bee simile and a costume recipe
111
Language & LatinLatin-Italian vocabulary list (accidit, aliquid, summum)
112
Language & LatinLatin glossary with land-measure reckonings in pertiche
113
Language & LatinLatin glossary with a land-cost calculation
114
Language & LatinLatin glossary and conversion of the trabocco measure
115
Language & LatinLatin word-list with Italian meanings (fol. 52r)
116
Language & LatinLatin word-list, small architectural sketch and expense note (fol. 52v)
117
Language & LatinLatin word-list with a column of names and figures (fol. 53r)
118
Language & LatinLatin word-list with a dated memorandum (fol. 53v)
119
Language & LatinLatin word-list of place and direction adverbs (fol. 54r)
120
Language & LatinLatin word-list of directional adverbs (fol. 54v)
121
Language & LatinLatin adverbs of place, with an addition sum
122
Physics & MechanicsElastic lath to launch three arrows; Latin words
123
ArchitectureRiddle on sleep; plan and elevation of a building
124
Physics & MechanicsBalanced bell on its pivot; columns and entablature
125
Machines & DevicesAntifriction roller systems for a lever
126
Machines & DevicesRule for antifriction rollers; a bell rung by wind
127
Machines & DevicesSystem of anti-friction rollers for a flywheel
128
Arithmetic & ProportionLand measure: 96 trabocchi make a pertica
129
Arithmetic & ProportionTable of land measures: braccia, trabocco, tavola, pertica
130
Physics & MechanicsOn the proportion of motions, powers and resistances
131
HydraulicsCross-section of a watercourse bed: tufa, sand and mud
132
HydraulicsWhy water climbs a mound of earth; deflecting river currents
133
Physics & MechanicsRicochet of a Stone and a Water Vortex
134
HydraulicsWhere Three Currents Meet: A Sudden Deep
135
HydraulicsWaterfall and a River Bed Scoured into a Well
136
Physics & MechanicsForce of Liquids and Grains in Two Vessels
137
Fables & ProseProphecies: The Lion Species and Beasts of Darkness
138
Fables & ProseProphecies: Blood, Plague, Floods and Storms
139
Fables & ProseProphecies: the babel of tongues and the words of the dead
140
Fables & ProseProphecies: quills that raise men, dice, and the lantern
141
Fables & ProseProphecies: threshing, playing-balls, loom-comb, bagpipe
142
Fables & ProseProphecies: beaten walnuts, crucifixes, parchment, the Host
143
Fables & ProseProphecies in red chalk: tallow, beasts among the stars, ovens
144
Fables & ProseProphecies: sold crucifixes, physicians, friars, and lime
145
Fables & ProseProphecies: Suckling Babies and Sea-Cast Shellfish
146
HydraulicsWater Around a River Rock: Sand Deposits and Whirlpools
147
HydraulicsWhy a River Erodes Its Bed and Banks
148
HydraulicsRebounding Water Mixed with Air; the Wind Circius
149
Machines & DevicesA River Whirlpool and an Anemometer (Wind-Vane)
150
HydraulicsWhy Water Leaps Higher Than Its Fall: Air in the Bubbles
151
HydraulicsRiver Bed and a Cascade Carving the Bank
152
HydraulicsCascade and the Boiling-Up of Water
153
HydraulicsA Lexicon of Water's Motions
154
HydraulicsRiver Features Defined, with a List of Water's Actions
155
HydraulicsBeginning of the Book of Waters
156
HydraulicsThe Jet from a Draining Barrel
157
HydraulicsHow a Cross-Current Breaks a Riverbank and Sorts the Debris
158
HydraulicsWater Undercutting a Bank into a Cavern
159
HydraulicsThe Threefold Motion by Which Rising Water Scours a Bank
160
HydraulicsHow Water Deepens and Scours Where a River Narrows
161
HydraulicsFloods, Rolling Stones and a Scour Hole at a Florentine Mill
162
Physics & MechanicsCollision of Discrete and Continuous Quantities
163
HydraulicsBoiling Upwellings in Rivers; Section of the Elements
164
HydraulicsWhy Boiling Upwellings Are Intermittent
165
HydraulicsWhirlpools and How River Water Strikes Different Beds
166
HydraulicsHow Eddies Form and Consume the Water's Impetus
167
HydraulicsCollision of Currents of Unequal Size and Speed
168
HydraulicsThe Great Eddy: How Floating Bodies Move on Water
169
HydraulicsVortices in a turning current, with clamped and joined rods
170
Machines & DevicesLatin declensions, with three red-chalk mechanical figures
171
HydraulicsAir submerged in water and its violent return to the surface
172
HydraulicsWaterfall and rebound: air carried down among the water's coils
173
HydraulicsCollision of water masses; a crescent-shaped bed and river bends
174
HydraulicsCanal bottoms of various forms and the fall of water
175
Painting & PerspectiveSketches of framed forms with hatched shading
176
HydraulicsStraightening a slow, winding river
177
HydraulicsHow floodwater lifts, carries and deposits sediment
178
HydraulicsHow a river scours and deposits along its bed
179
HydraulicsCavities scoured in a riverbed (c, n, m, r)
180
Physics & MechanicsWater leaps and why bombards outrange small guns
181
Physics & MechanicsDoubled Motion of the Arm in Throwing a Stone
182
Physics & MechanicsThe Crossbow: When the Arrow Leaves the Cord
183
Physics & MechanicsWhere a Tethered Falling Ball Strikes Hardest
184
HydraulicsDo Meeting Water-Waves Penetrate or Rebound?
185
HydraulicsRipples in Still Water Versus a Moving River
186
HydraulicsA Programme of Questions on Moving Water
187
HydraulicsHow to classify every motion and impact of water
188
HydraulicsOn waves: twelve kinds of waves and eddies
189
HydraulicsDoes a bend in the race change the force that turns a mill?
190
HydraulicsWhy a plunging river runs faster on top; a glass tank test
191
Physics & MechanicsA small drop resting on level and sloping planes
192
HydraulicsWhy water moves; a drop's weight on level and sloping planes
193
HydraulicsWater Speeding Through a Narrowed Channel
194
HydraulicsSprings and Cataracts That Feed the Rivers
195
Physics & MechanicsWheels Driven by Falling Counterweights
196
Physics & MechanicsImpact and the Launching of Darts
197
Physics & MechanicsA Rule for How Materials Break
198
Physics & MechanicsLeverage in a Mast Pulled by a Cord
199
Machines & DevicesCounterweights for Doors
200
Machines & DevicesFigure of a Hinge-Hook (Arpione)
201
Ornament & HeraldryStamped Metalwork and Interlaced Rings
202
Ornament & HeraldryOrnamental Designs and a List of Materials
203
Horses & AnimalsProportion Study of a Dog's Muzzle
204
Physics & MechanicsRegular Counterweights Compared to Water
205
Ornament & HeraldrySuspended Decorative Ornament in Red Chalk
206
Machines & DevicesSliding Rod in Supports, a Male Profile, and Pen Sketches
207
Physics & MechanicsSpoon Catapult (Cimitrilla) and the Physics of Percussion
208
ArchitectureArch Construction, Post-Raising, and the Bombard-Rocket Note
209
Weapons & FortificationMangonel and Crossbow Ballistics; a Glass on a Spinning Hoop
210
Physics & MechanicsOf Motion: Percussion, the Sling, and the Arm as Lever
211
Physics & MechanicsOn Motion: Percussion and the Persistence of a Blow
212
Physics & MechanicsOn Motion: Why the Bombard Alone Increases Its Force
213
Physics & MechanicsOn Motion: Bows and Crossbows as a Test of Force
214
Weapons & FortificationThree Ball-Launching Devices: Impetus, Collision, Percussion
215
Physics & MechanicsThe Rule of Three Applied to a Bombard's Ball
216
Physics & MechanicsAgainst Infinite Speed from an Ever-Smaller Ball
217
Physics & MechanicsWeight or percussion: which drives a projectile farther
218
Machines & DevicesA balance-and-catapult rig for testing throwing power
219
Physics & MechanicsEqual weights, equal motion; unequal weights ranked by distance
220
Physics & MechanicsOn motion: heavy bodies sustain their movement; the long-jumper's trick
221
HydraulicsA waterfall striking, rebounding, and hollowing its bed
222
HydraulicsCrossing currents and how a river's speed thins its water
223
HydraulicsSmoke in air, and the currents and percussion of water in rivers
224
Blank leaf (folio 106 verso)
225
Painting & PerspectiveFranciscan saints and their attributes, in a rectangular frame
226
Blank leaf (folio 107 verso)
227
HydraulicsA jet of water rising after striking an obstacle
228
HydraulicsWhy the rebound of falling water never equals its descent
229
HydraulicsRebound of falling water and a glass-walled vessel
230
HydraulicsAir blown under water; two rivers compared by length
231
ArchitectureRed-chalk cross-section of a building; gloss on 'furibonda'
232
Physics & MechanicsProblem: how deep a falling weight sinks into the ground
233
HydraulicsDividing the power of rivers, and of divided forces
234
Blank page (folio 111v)
235
Physics & MechanicsSystem of opposed arches that tension one another
236
Physics & MechanicsTwo carts pulled in different ways
237
Physics & MechanicsDegrees of pulling: from dragging to wheeled carts
238
Physics & MechanicsFriction of pivots versus dragging
239
Physics & MechanicsAntifriction roller system with multiplied leverage
240
HydraulicsCollision of two streams of water
241
HydraulicsExperiments on Water Rebounding in a Level Channel
242
HydraulicsBouncing Balls and Rebounding Water: Discrete vs Continuous
243
HydraulicsWave Motion If Water Were a Discrete Quantity
244
HydraulicsConstriction, Bifurcation and Confluence of a Water Course
245
HydraulicsRepeated Confluence and Divergence of River Currents
246
HydraulicsOn the Crest and the Trough of a Wave
247
HydraulicsWater in Waves: Rising, Falling, and Slowing
248
ArchitectureSurvey of Streets and Houses; a Drill Mechanism
249
ArchitectureSurvey Continued: Bridge, Gate and Church Measures
250
Physics & MechanicsQuestions on Motion; Proportional Ratios
251
Weapons & FortificationCrossbow Aim by Hand Position; Albert of Saxony on Motion
252
Physics & MechanicsCurved Motion's Release Point; Dart-Throwing with a Rod
253
HydraulicsWater Striking an Obstacle; a Counterweight Catapult
254
Weapons & FortificationCatapult Range: Widening the Arc to Double the Throw
255
HydraulicsA River Deflected at Its Bank; the Cimitrilla's Throw
256
Weapons & FortificationWhere Powder Bursts a Bombard; a Note at Table
257
HydraulicsJets from a Vase; Water Curling Past a Submerged Rock
258
Language & LatinLatin Word-Lists: Intensives, Superlatives, Comparatives
259
Language & LatinLatin adverbs: oaths, chance, choice, exhortation, moderation
260
Language & LatinLatin adverbs and small geometric sketches
261
Language & LatinLatin adverbs: similarity, quantity, quality, doubt
262
Language & LatinLatin adverbs: affirming, order, pointing out, questioning, wishing
263
Language & LatinLatin adverbs: place, number, time, negation
264
Blank leaf (folio 126v)
265
FlightFour studies of air vortices striking obstacles
266
HydraulicsThe rebounding of river water
267
Physics & MechanicsThe question of the bouncing ball
268
Weapons & FortificationThe range of a bombard and its trajectory
269
Weapons & FortificationAiming a bombard by a graduated range scale
270
Physics & MechanicsThe voice of the echo across distance
271
Weapons & FortificationBallistics of Bombards: Ball Weight, Powder and Range
272
Physics & MechanicsOn Motion in General; the Wind on Mountain Slopes
273
Physics & MechanicsTwo Falling Balls in Channels; a Swaying Carried Beam
274
Machines & DevicesRed-Chalk Sketch of a Machine, Perhaps a Cloth-Shearer
275
Machines & DevicesTwo- and Three-Winch Systems and the Balancing of Weights
276
Weapons & FortificationQuestions on Gunpowder and Bombard Firing
277
Weapons & FortificationResearch Questions on the Bombard and Its Powder
278
Weapons & FortificationThe Motion of Cannon Balls: One Heavy Ball or Many?
279
Weapons & FortificationRecoil, Weather and Bounce: More Gunnery Questions
280
Language & LatinDeclension of 'uterque' and the Whip of the Arm
281
Weapons & FortificationTriangular-Mouthed Bombard and Graded Thrown Weights
282
Arithmetic & ProportionFractions by the Rule of Three, with 'alius' Declined
283
Language & LatinLatin declensions: plural relative pronoun and 'ullus'
284
Physics & MechanicsA power moving divided and united weights
285
Language & LatinLatin model verbs and nouns word-list
286
Language & LatinLatin declensions: unus, totus, quis and impersonal verbs
287
Language & LatinLatin syntax: cases governed by active, neuter and deponent verbs
288
Fables & ProseAllegory of Il Moro with geometry and a prophecy of jackdaws
289
Fables & ProseA monstrous giant, and prophecies
290
GeometryLunes of a square in a circle, with a profile head
291
Blank flyleaf
292
Blank flyleaf
293
Binding: inside back cover and flap