Library/Paris Manuscript M

Paris Manuscript M

Manoscritto M

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

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Front Cover of the Binding with Library Shelf-marks
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Back Cover of the Parchment Binding
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Spine of the Binding with Exposed Sewing
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Fore-edge of the Closed Notebook
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Edge View of the Closed Text Block
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Head or Tail Edge of the Closed Notebook
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GeometryOpening leaf: ornamental 'M' with geometric figures
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GeometryClassification of triangles by angle and side
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GeometryHow the three triangles derive from three quadrangles
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GeometryThe long tetragon and the two kinds of rhombus
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GeometryThe rhomboid defined; parallel lines
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GeometryEqual triangles and the axiom of whole and part
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GeometryGeometry sketches: triangles, a rhombus, and nested figures
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Fables & ProseEmblem of the lantern fanned by two bellows
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Fables & ProseEmblems: a lantern burnt by its candle and a bagpipe in a clamp
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Fables & ProseOrnamental capitals and moral emblems
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GeometryEuclid's five postulates
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GeometryParallel lines from opposite ends of the world, after Ptolemy
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GeometryContinuous and Discrete Quantity Compared
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GeometryThe Five Postulates of Geometry
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GeometryTransversals Across Lines, Arcs and Circles
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GeometryPerpendiculars, a Subdivided Square, and 'On Local Motion'
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GeometryDecomposing the Square: Gnomon and Supplements
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GeometryCommensurable Sides and Square Numbers
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GeometryNaming the Angles of Isosceles Triangles
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Arithmetic & ProportionSquare Numbers and Continued Proportion
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GeometryIsosceles Triangle by the Common Notion of Equals
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GeometryThabit: Triangles Built on Intersecting Circles
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Arithmetic & ProportionCommensurable Quantities and Their Common Measure
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Arithmetic & ProportionSegments Marked with Numbers and Letters
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GeometryPoint, segment and triangle constructions with circled figures
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GeometrySegments and a circle with the axiom on equal magnitudes
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GeometryContinuous and discontinuous proportion; dividing a line
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GeometryDividing a line from an external point; the straight line defined
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GeometryExperiments with triangular paper cut-outs; Euclidean notions
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GeometrySuperposed triangular cards and equality of remainders
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Arithmetic & ProportionSquares, roots and surds; a triangle with extended sides
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GeometryThe nine common notions (Euclidean axioms)
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GeometryRight angle in a semicircle; angles on a line
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GeometrySquaring segments and forming rectangles from products
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Blank page
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GeometryGeometry is infinite; the arithmetic of discontinuous quantity
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GeometryPlane geometry: triangles, a rhombus, and line segments
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GeometryGeometry of rectangles and squares with computed areas
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GeometryNote on opposite angles formed by two crossing lines
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GeometryConstructions on angles, triangles and a circle
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GeometrySquares on a triangle's sides and an 'irrational' height
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GeometryRational and irrational lengths from a semicircle
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GeometryIsosceles Triangles and an Extended Base
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GeometryOpposite Angles Where Two Lines Cross
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GeometryThe Seventeenth: Right Triangles with a Line to the Base
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GeometryThe Triangle Inequality: When Two Sides Fall Short
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GeometryRefuting Unequal Sides in Nested Isosceles Triangles
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GeometryConstructing a Triangle from Three Given Lines
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GeometryConstructing an Angle Equal to a Given Angle
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GeometryRoots, Medial Lines and the Number 108
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GeometryComparing the Angles of Similar Right Triangles
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GeometryIsosceles Triangles: Angle a Exceeds Angle d
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GeometryCommensurable Surfaces and Medial Lines
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GeometryCongruent Triangles by Equal Base and Angles
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GeometryCoalternate angles between parallels dc and fK
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GeometryCoalternate interior angles are equal
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GeometryRefuting the equality of coalternate angles
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GeometryDiagrams of parallel lines and interior angles
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GeometryConstructing a parallel through a point
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GeometryProportional rectangles with root magnitudes
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GeometryIrrational roots, triangle angles and polygons split into triangles
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GeometryThe exterior angle of a triangle equals the two opposite angles
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GeometryAngles about a point and the exterior angles of polygons
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GeometryExterior angles of a triangle and the five-pointed star
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GeometrySquares on a right triangle and parallelograms between parallels
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GeometryParallel lines cut by diagonals and equal parallelograms
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GeometryRectangle divisions, a triangle in a semicircle, paired numbers
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GeometryParallelograms between parallels and the equality axiom
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GeometrySquares and a trapezoid between parallels
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GeometryConstructing a square equal to a triangle
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GeometryTriangles of equal height and equal-area parallelograms
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Physics & MechanicsA weight distributed 4 to 1 between two cords of a balance
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Physics & MechanicsWeights Hung from Unequal Cords on a Balance
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Physics & MechanicsWeight Between Two Pulleys: Does a Right Angle Move It?
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Physics & MechanicsBalance Experiment: Does a Hung Weight Act as if Fixed at n?
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Physics & MechanicsInclined-Plane Experiments: Drawing a Wheel Up a Slope
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Physics & MechanicsA Balance Multiplied by Pulleys: Proportion of Powers
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Physics & MechanicsEqual Arms by the Circle: an Equals ar
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Physics & MechanicsThe true arm of a balance: where cord and lever meet at a right angle
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Physics & MechanicsHeaviness along a cord and weights ranged on a semicircular arc
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HydraulicsWhy water over sand makes uneven waves — and what it proves about air
88
Physics & MechanicsDoes a ship move with its wave, or with the wind that drives it?
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Physics & MechanicsWeights descending three inclined planes meeting at b (c, e, d)
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Physics & MechanicsOblique motion still grows in arithmetical proportion (prism figure)
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Physics & MechanicsAir Resistance Subtracted from a Falling Weight's Motion
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Physics & MechanicsOn Motion: Weights Falling Through Ever-Denser Air
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Physics & MechanicsPyramidal Proof That Motion Grows in Arithmetic Proportion
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Physics & MechanicsDoubling the Time Doubles a Body's Descent and Speed
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Physics & MechanicsDegrees of Time, Motion and Velocity in Free Descent
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Physics & MechanicsHow a Moving Body Generates Waves in the Air
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Physics & MechanicsDescent of a Heavy Body and the Eddying Air Around It
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Physics & MechanicsHow Falling Things Break Apart: Beams, Stones, and Grain
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Physics & MechanicsA Thinning Stream of Liquid Divides as It Falls
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Physics & MechanicsFalling Bodies and the Paradox of a Pouring River
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Physics & MechanicsNotebook Page on the Fall of Bodies (untranscribed)
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Physics & MechanicsDefinition and Diagram: Two Bodies Falling in Succession
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Physics & MechanicsDegrees of Motion in a Falling Body
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Physics & MechanicsA Falling Body Gains Speed at Every Degree of Motion
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Blank Page (folio 49v)
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Physics & MechanicsPower and Resistance on a Cord-Drawn Balance
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Physics & MechanicsWhere the Cord Attaches Does Not Change the Lever
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Physics & MechanicsA Balance with One Arm Inclined Downward
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Blank Page (Folio 51v)
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Physics & MechanicsPercussion of Two Equal Falling Bodies
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Physics & MechanicsPercussion Growing with the Distance Fallen
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Weapons & FortificationRange of a Culverin and How to Measure It
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Machines & DevicesWater Screws, a Drawbridge, and a Powder Question
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Weapons & FortificationWhich Bombard Shoots Farthest?
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Weapons & FortificationBombard Breeches and the Casting of Culverins
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Physics & MechanicsHow a Run-up Affects the Length of a Jump
117
Machines & DevicesAn Advancing Bridge Thrust Forward by a Windlass
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Machines & DevicesOverhead and Side Views of an Advancing Bridge Frame
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Civil EngineeringUnloading a Column from a Boat with Levers and a Windlass
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Physics & MechanicsAn Experiment on Two Falling Balls
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Physics & MechanicsEqual increments in the fall of heavy bodies
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Physics & MechanicsOn air resistance: air densest under the heaviest weight
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Fables & ProseTwo jests and the maxim 'Truth is the daughter of Time'
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Physics & MechanicsVolume, lightness, and the force of percussion in falling weights
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Physics & MechanicsThe pyramidal law of accelerating fall
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Physics & MechanicsHow much faster the larger weight descends
127
Physics & MechanicsA sling and the changing power of its launch trajectories
128
Physics & MechanicsTwo experiments on freely falling balls
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Physics & MechanicsOn motion: which weight propels a lead ball farthest
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Physics & MechanicsOn motion: smaller weights are thrown farther
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Physics & MechanicsOn motion proportional to the driving power
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Physics & MechanicsOn the power of the crossbow
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Physics & MechanicsThe Common Wedge and Its Iron Sheath
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Physics & MechanicsPermanent and Transitive Wedges; the Axe-Head
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HydraulicsHow Water Sorts and Moves Sand on the River Bed
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HydraulicsHow Falling Water Sorts Sand by Size and Weight
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GeometryTwo Surfaces of Equal Area but Different Shape
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HydraulicsSand Waves and Crossed Currents in Rivers
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GeometryParallel figures compared, and the law of motion
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HydraulicsThe fish's tail as propeller; contact of two currents
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HydraulicsTwo water currents contending: an eddy at their meeting
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HydraulicsSide view of two flows meeting: the prevailing eddy
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Physics & MechanicsThe impossible cut: a test of judgment about weights
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Physics & MechanicsBalance staffs: arms cut and re-hung as counterweights
145
Blank verso (folio 69v)
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Weapons & FortificationCrossbow catch: lever and pivots
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Blank verso (folio 70v)
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Weapons & FortificationA charged crossbow
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Physics & MechanicsForce and distance in the crossbow's discharge
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Physics & MechanicsTwo crossbows compared: which shoots farther?
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HydraulicsWater Spouting from Siphons of Different Nozzles
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Physics & MechanicsThe Crossbow's Force and the Motion of Its Cord
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Physics & MechanicsThe Crossbow's Diminishing Force and a Subdivided Triangle
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Physics & MechanicsWhy the Arrow Leaves at the End of the Cord's Motion
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Physics & MechanicsStudies of Impact and Weights Balanced over Pulleys
156
Physics & MechanicsThe Nature of Divided Weights
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Physics & MechanicsBeam balanced on a box: press end a or lift end d?
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Physics & MechanicsTwo graduated staves bowing equally under weights 1 and 8
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Blank page (folio 77 recto)
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Optics & LightA branch struck by rays: brightest at a right angle
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Machines & DevicesA windlass in a block: power a against weight b
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BotanyA tree's branches sum to its trunk's cross-section
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BotanyGrowth and Bifurcation of Tree Branches
164
Optics & LightLight, Eye and Object: Three Arrangements
165
Painting & PerspectiveOn Painting: Eye, Object and Light
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GeometryThe Five Regular Solids, with a Tercet
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Machines & DevicesSpring Mechanisms for Clocks
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Physics & MechanicsA Beam Strengthened by Binding Cords
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Physics & MechanicsThe sound made by a bombard's blast
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Physics & MechanicsHow angled barriers divide a projectile's impact
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FlightSwimming shows the method of flying
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Physics & MechanicsWhy a heavy hammer drives a nail in one blow
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Physics & MechanicsOn the power of percussion
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Blank page
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Physics & MechanicsPage of notes with small diagrams (text not transcribed)
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Blank page
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GeometryDividing a triangular "pyramid" into two equal weights
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Machines & DevicesAn adjustable fireplace screen with rotating panels
179
GeometryRemoving weighted pieces of a pyramid by squared fractions
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GeometryWhen two curved lines meet: parallel arcs and "curved pyramids"
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GeometryHow Infinite Lines Can Meet at a Single Point
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Arithmetic & ProportionContinuous Proportions: Summing 1, 2, 4, 8, 16, 32, 64
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Blank Page (folio 88v)
184
GeometryParallel Curved Lines and Concentric Circles
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GeometryAngles Around a Point Equal Four Right Angles
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Physics & MechanicsThe Pyramidal Power of a Crossbow's Cord and Arrow
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Physics & MechanicsThe bow's motive power: great at the start, ending in nothing
188
Physics & MechanicsTesting projectile weight, material and spherical form
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Physics & MechanicsCounterweight experiment on the best projectile form
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Physics & MechanicsThe waterwheel as a motor of constant power
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Physics & MechanicsCrossbow versus counterweight: how each releases its body
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Physics & MechanicsThe motor of augmentative power, contrary to the crossbow
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Physics & MechanicsMeasuring a Crossbow's Force by an Equivalent Weight
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Physics & MechanicsThe Motor of Diminishing Force: Crossbow, Pulley and Weight
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Machines & DevicesA Method for Chain Links; and a Sun-and-N Rebus
196
Arithmetic & ProportionWorn End Leaf with Arithmetic Jottings and a Flourish