Library/Paris Manuscript K

Paris Manuscript K

Manoscritto K

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

1
Ornament & HeraldryFront Cover: Red Morocco Binding Tooled 'Leonardi Vincii'
2
Ornament & HeraldryBack Cover: Gilt-Tooled Red Morocco Binding
3
Ornament & HeraldrySpine: Red Morocco Binding with Gilt Fleurs-de-lis
4
Head Edge of the Closed Notebook
5
Fore-Edge of the Closed Notebook
6
Tail Edge of the Closed Notebook
7
Front pastedown: 'K' siglum and library shelfmarks
8
Front flyleaf with later Latin donation inscription
9
Front flyleaf, verso (blank)
10
Front flyleaf (blank) with Institut de France stamp
11
Front flyleaf (blank)
12
Front flyleaf (blank) with Institut de France stamp
13
Front flyleaf (blank)
14
Physics & MechanicsRebound of a struck stone; sketch of a mill and moving air
15
HydraulicsWater, the carrier of nature; a horn-shaped mountain cavity
16
GeometryTwo equal semicircles and a circle divided by curved lines
17
FlightBird lifted by reflected wind; plan for a treatise on flight
18
FlightDescending bird in a turn; birds facing the wind on the waves
19
FlightHow a lowered wing decides which way a bird sinks
20
FlightWhy a bird must spread a lowered wing, and unequal wing-beats in turning
21
FlightHow the wind acting on the tail turns a bird to face it
22
FlightBeating one wing twice to correct a tilt or to turn
23
FlightHow the wing-tip pinions catch a following wind to lift the bird
24
FlightWhether the tail or the wings turns the bird into the wind
25
FlightSheet of notes with a small sketch of a bird in flight
26
FlightHow a bird turns by beating one wing
27
FlightThe winglets that steer a gliding bird
28
FlightThe wing's thumb as a rudder in flight
29
FlightHow a bird tacks against the wind
30
FlightBird with wings stretched forward
31
FlightThe Bird Turning Itself into the Wind
32
FlightDo the Wing-Tips Matter for Flight?
33
FlightThe Bird Soaring Against the Wind
34
FlightWhy the Tail Turns the Bird More Than the Wing
35
FlightHow a Bird Climbs and Steadies in Straight Flight
36
FlightTwo Ways a Bird Rights Itself in a Gust
37
FlightHow a Bird's Wing Sustains and Drives It in Still Air
38
FlightThe Rotation of the Wing and the Ellipse Traced by Its Tip
39
FlightTrimming a Wing as a Sail and Climbing Against the Wind
40
FlightFlying Against the Wind, Dropping a Side, and Turning
41
Figure StudiesBlack-Chalk Study for the Battle of Anghiari
42
Figure StudiesFaint Portion of the Drawing from Folio 14v
43
GeometryParallelogram within a parallelogram; three joined parallelograms
44
GeometryRectangle cut by its diagonal, with two complements
45
GeometryPolygons and triangles compared by side and area
46
GeometryCircular segments in continuous proportion
47
GeometryThree polygons with matched homologous sides
48
GeometryPentagon divided into three triangles
49
GeometryTwo pentagons and three measured triangles
50
GeometryTriangles and a segment: a proof of proportionality
51
Arithmetic & ProportionFaint study of proportionally divided line segments
52
GeometryFaint geometric figures: squares, triangles, diagonals
53
Arithmetic & ProportionLine segments divided in continued proportion
54
GeometryCircle-arcs, segments and joined rectangles
55
GeometryJoining Equal Angles; Parallelograms on Triangles
56
GeometryEqual Rectangles with Reciprocally Proportional Sides
57
GeometryDividing a Long Line in the Same Proportion as a Short One
58
GeometryCutting Any Part from a Triangle with One Compass Setting
59
GeometryMean Proportional Found by Parallels in a Triangle
60
GeometryRight Triangle in a Semicircle and the Mean Proportional
61
GeometryRight Triangle with Proportional Measures, and a Rhombus
62
GeometryTwo Triangles Have Six Angles, or Three Pairs
63
GeometryThree Triangles, Two Sharing a Single Base
64
GeometryFifth Figure: Converse of the Preceding
65
GeometryTwo Triangles Within a Triangle, Cut in Proportion
66
GeometryTriangle with Interior Lines and Equal Angles Marked
67
GeometryFaint charcoal geometry: triangle with a five-pointed star
68
GeometryProportion in a double triangle cut by a parallel
69
GeometryA triangle cut by a parallel to its base
70
GeometryParallelogram decomposed into triangles and rectangles
71
GeometryParallelograms side by side between two parallels
72
GeometryRectangle superimposed on a square; three segments
73
GeometryTwo Quadrilaterals in Proportion
74
GeometryTwo Triangles in Discontinuous Proportion (Euclid, Book VI)
75
Arithmetic & ProportionTable of Proportional Numbers
76
GeometrySegments Divided in Ratio
77
GeometryThree Triples of Segments: Indirect Proportion
78
GeometryThree Triples of Segments: Direct Proportion
79
Arithmetic & ProportionConverse and ostensive proportion
80
Arithmetic & ProportionCompounded and separated proportion
81
Arithmetic & ProportionProportion figure valid for two conclusions
82
Arithmetic & ProportionCutting equal parts from the greater magnitudes
83
Arithmetic & ProportionCompounded proportion (congiunta)
84
Arithmetic & ProportionMultiple ratios (multiplici)
85
Arithmetic & ProportionMultiple and Submultiple Ratios on Divided Lines
86
Arithmetic & ProportionRatio Tables Serving Algebra (Sets 201 and 212)
87
Arithmetic & ProportionThe Four Operations on a Proportion (Series 191)
88
Arithmetic & ProportionProportional Points Along Ruled Lines (Series 171)
89
Arithmetic & ProportionRatio Table and the Alternate Proportion (Series 161)
90
Arithmetic & ProportionA Line Divided into Equal Multiples (Series 151)
91
Arithmetic & ProportionProportions among labelled line-segments (a-d)
92
Arithmetic & ProportionProportional segments with bracketed group sums
93
Arithmetic & ProportionLine-segments in quintuple proportion (quincupla)
94
Arithmetic & ProportionSegments L and h as multiples of a and b
95
Arithmetic & ProportionGrid of proportional line-segments (K, h, g...)
96
GeometryUnmeasured proportion grid: lettered segments only
97
GeometryA Line Divided at Points a, b, c
98
GeometryA Line with the Dividing Point c
99
Arithmetic & ProportionThe Eighth Rule: Multiples in Continued Proportion
100
Arithmetic & ProportionLine-Segments in Proportion: c Drawn Twice
101
GeometryDivided Lines d-h-e-K with Proportional Parts
102
Blank Leaf with Offset Traces from the Facing Page
103
Arithmetic & ProportionTable of the fifth proportion and quadruple ratio
104
Arithmetic & ProportionTable of the multiples of multiples
105
Arithmetic & ProportionTable of the fourth proportion with quadruple ratios
106
Blank leaf (folio 46 verso)
107
Arithmetic & ProportionTable of multiples: double, triple and sextuple ratios
108
Arithmetic & ProportionTable of the second proportion
109
Arithmetic & ProportionFirst conclusion on multiple proportions
110
Arithmetic & ProportionConverse and disjunctive proportion
111
Arithmetic & ProportionProportion in all things, not only in number
112
Blank page (folio 49v)
113
Physics & MechanicsThe augmentative lever, with named curves
114
Optics & LightShadows cast by a man at night, with balance sketches
115
Arithmetic & ProportionEuclid, Book V: the definitions of part and multiple
116
GeometryEqual triangles and the squares upon their bases
117
GeometryFigures for the Pythagorean theorem
118
GeometrySquaring the oval solid; a note on Aristotle
119
GeometryThe lenticular solid is one third of its cylinder
120
GeometryParallelograms on equal bases between parallels are equal
121
GeometryTriangles on the Same Base Between Parallels Are Equal
122
GeometryA Parallelogram Is Double a Triangle on the Same Base
123
Blank Page (Folio 55r)
124
Blank Page (Folio 55v)
125
HydraulicsHow a Falling Water Droplet Rebounds on Impact
126
GeometryQuarter Circle with an Inscribed 32-Sided Polygon
127
GeometryTurning a rectangle into an equal-area square
128
FlightHow a bird beats its wings to land
129
FlightA bird raising and lowering its wings in wind
130
FlightThe bird steers with the horns of its tail
131
FlightTail resistance and the circles of a bird's flight
132
FlightThe kite gliding with wings and tail held oblique
133
HydraulicsThe Rivers: Simple and Compound Motion of Water
134
Arithmetic & ProportionRefuting Zenophon: Equal Subtraction Alters a Ratio
135
Arithmetic & ProportionHow Zenophon Proposed a Falsehood
136
GeometryGeometry of Lunes: Semicircles, Sectors, and Triangles
137
Blank Page (folio 62v)
138
Blank Page with Show-through (folio 63r)
139
Physics & MechanicsA force of 12 lifts 11 - and infinitely more, but never 12
140
Near-blank leaf with a note in another hand
141
Arithmetic & ProportionProportional number pairs in pencil: 8-4-2 and 12-6-3
142
Arithmetic & ProportionConverse argument: swapping antecedents and consequents
143
HydraulicsWhy an older water-wave forms a wider circle than a younger one
144
HydraulicsA programme to record how water scours and silts riverbeds and banks
145
Blank page (folio 66v)
146
Arithmetic & ProportionCubic multiplication and a doubling series
147
Arithmetic & ProportionMultiplying double and triple ratios
148
Arithmetic & ProportionHeading: the eighth definition
149
Blank page (folio 68v)
150
Arithmetic & ProportionLikeness of proportion
151
GeometryFaint geometric sketch: polygon inscribed in a circle
152
GeometryHexagon inscribed in a circle
153
GeometryConstructing a pentagon inscribed in a circle
154
GeometryTriangles in two internally tangent circles
155
GeometryBlank leaf with faint contact impressions
156
GeometryTangent and secants to a circle from an external point
157
GeometryCircle with Tangent and Secant; an Analogous Figure
158
GeometryCombining Several Squares into One
159
GeometrySemicircle on a Rectangle's Base plus Height; a Pythagorean Figure
160
GeometryTriangle Divided by its Altitude; Squares on Two Sides
161
GeometryObtuse Triangle with Perpendicular on a Produced Side
162
GeometryJoining a Larger and a Smaller Square
163
GeometryGeometric Algebra: the Ninth and Tenth Demonstrations
164
GeometryThe Eighth Demonstration: Squaring 8 + 4 + 4 into 256
165
GeometryThe Seventh Demonstration: Squaring 12 = 8 + 4 into 144
166
GeometryThe Sixth Demonstration: Squaring 6 + 4 into 100
167
GeometryThe Fifth Demonstration: Squaring the Line 6 = 4 + 2
168
GeometryThe Fourth Demonstration: A Square of 12 Split into 48 and 96
169
GeometryDividing a Line, Rectangle and Square into Numbered Parts
170
GeometryDefining the Straight Line and the Four Kinds of Angle
171
GeometryStraight versus Curved Lines, and the Center of the World
172
GeometryThe Circle as a 'Parallel' Figure; Equal Triangles on a Base
173
GeometrySquaring the Circle: Sixteen Sectors Rectified
174
GeometryA Partitioned Rectangle and Circular Rings
175
GeometryLune and sector figures, with a note on the ox-bristle
176
GeometrySquaring an annular band against a triangle
177
GeometryA lune made equal to a circular sector
178
GeometryThe doubled lune, squared like the last
179
GeometryStraightening the curve of a semicircle
180
GeometryThe roots of numbers marked along a line
181
GeometryTransmuting an obtuse triangle into a right triangle of equal area
182
GeometryCutting from a larger triangle an area equal to a smaller one
183
GeometryTriangles on the same base are proportional to their heights
184
GeometryTwo triangles double a third are equal in area
185
GeometryTriangles of equal height are proportional to their bases
186
GeometryCutting from a sharp-angled triangle a part equal to an obtuse one
187
GeometryDividing a Semicircle into Proportional Parts
188
GeometryThe Rule of Subtracting Four to Divide a Semicircle
189
Arithmetic & ProportionOf What Number Is Four the Three-Quarters?
190
Physics & MechanicsThe Three Centres of a Pyramid
191
GeometryTrisecting a Circular Portion, Concluded
192
GeometryTrisecting a Circular Segment by Construction
193
GeometryDividing a circular segment into four equal parts
194
GeometryEqualizing opposed triangles by swapping their bases
195
GeometryMaking two unequal triangles equal in area
196
GeometryProof that inverse base-height ratios give equal triangles
197
Blank page (folio 92 v)
198
Weapons & FortificationDrawbridge studies and a note on the living bastion
199
HydraulicsEddies and the Middle Water in a Canal
200
HydraulicsTwo Waters Meeting at a Common Outlet
201
HydraulicsWater Pouring from the Base of a Tank
202
HydraulicsWater Flowing Between Two Tanks
203
HydraulicsBifurcation of Watercourses: Flux and Reflux
204
HydraulicsTwo Waters Meeting: Right and Left Eddies
205
GeometryTriangle of Curved Sides: Counting Similar Triangles
206
HydraulicsWater Courses, a Fountainhead, and Arcs in a Square
207
HydraulicsStepped Water Conduits and an Elbow Conduit
208
HydraulicsConduits Raising Water and the Power of Its Mover
209
HydraulicsJets from Tubes: Uniform vs. Non-Uniform Openings
210
HydraulicsDescending Water and the Current in an Elbow Channel
211
LandscapeRiver Ferry at the Port of Cassano
212
HydraulicsThe Conduit and Siphon of the Garden of Blois
213
HydraulicsWinding Stretch of a River
214
HydraulicsKeeping Gravel Out of Canal Mouths
215
HydraulicsWhy Does Water Move Through a River?
216
AnatomyMuscles Attaching to Bone; Horse Skeleton Studies
217
HydraulicsOblique River Banks and the Force of the Current
218
HydraulicsCanal Outlet, Pump and Conduit, and a Water Vortex
219
HydraulicsWater Falling Free Through Air versus Falling in a Conduit
220
HydraulicsA Cistern with Equal Inlet and Outlet Vents
221
HydraulicsCistern Flow: The Depth of Inlet and Outlet Below the Surface
222
HydraulicsThe Swiftest Channel Section Is a Half Circle
223
Painting & PerspectiveOn Painting: three relations of eye, light and shadow
224
Painting & PerspectiveOn Painting: the reflected object between eye and light
225
HydraulicsHow wind builds a double wave on water
226
Physics & MechanicsSimple and composite motions
227
Physics & MechanicsSlowest point of a whirled rod; a bouncing weight
228
AnatomyProgramme for dissecting the leg; a male nude
229
HydraulicsRegulating the Naviglio: sluice-mouths and mill water
230
HydraulicsThe canal mouths high and low: where the water flows
231
AnatomyHorse skeleton and a plan for comparative anatomy
232
Physics & MechanicsBalance in equilibrium and the leap of man
233
Painting & PerspectiveOn painting, and why thunder outlasts its cause
234
Physics & MechanicsImpetus of a moving body and motion against friction
235
Painting & PerspectiveOn Derived Shadow: Its Strength and Cutting
236
Blank Leaf with Red-Chalk Offset and Show-Through
237
Personal NotesRecipe to Remove the Odor from Oil
238
FlightThe Crossing of the Winds and the Birth of Lightning
239
FlightThe Birth of the Wind and Its Curving Path
240
Personal NotesRecipes: Congealing Glue, Coating Seeds, and Distilling Vinegar
241
Ornament & HeraldryColored inlays for imitation stone, and a paste-press
242
Ornament & HeraldryImitation chalcedony: sifted 'snakes' and a non-yellowing varnish
243
Ornament & HeraldryImitation chalcedony: forming a hollow tubular 'sleeve'
244
Machines & DevicesRice glue and a lever-pressed mold for casting paste
245
ArchitectureCentral-plan building with domed towers and chimneys
246
Optics & LightLight-ray diagram; the force of falling water and a mill paddle
247
Machines & DevicesDistillation recipes for solvent waters
248
Optics & LightThin air and dim sunlight; eddies pressed in glue
249
Optics & LightA crystal model of the eye's lens
250
Optics & LightThe eye's spherical lens, and boiling an eye to dissect it
251
Optics & LightMoving eye equals moving light: the firebrand test
252
Optics & LightPersistence of vision: a star drawn into a fiery line
253
Optics & LightWhy two horses on parallel courses seem to run at each other
254
Optics & LightA bird flying level appears to lose height as it recedes
255
Optics & LightA bird flying level seems to rise as it nears the eye
256
Optics & LightA moving eye fixed on a star sees other objects flee backward
257
Optics & LightA moving eye fixed on a near object sees the star race across the sky
258
Optics & LightBodies falling from higher up seem to descend nearer the eye
259
Optics & LightApparent motion by distance; a load on an inclined plane
260
Optics & LightNearer moving bodies appear faster than remote ones
261
Optics & LightA sphere equal to the pupil is always seen as half
262
Optics & LightA sphere smaller than the pupil is seen as more than half
263
Optics & LightExperiment: a moving object seen through a pinhole card
264
Optics & LightTrue motion seen when the object lies beyond the pinhole card
265
Optics & LightPinhole vision: straight-line sight and image reversal
266
Optics & LightOne object seen in two contrary motions at once
267
Optics & LightOne object seen twice, in two places at the same time
268
HydraulicsTwo vessels draining water in changing proportion
269
Fables & ProseRed-chalk note: a fable of the unwelcoming friend
270
Blank flyleaf with Institut library stamp
271
Blank Rear Flyleaf with Faint Show-Through
272
Blank Rear Flyleaf against the Binding
273
Blank Rear Flyleaf
274
Blank Rear Flyleaf against the Binding
275
Blank Rear Flyleaf
276
Inside Back Cover with Institut de France Stamp