Euler

equation

Mathematical equality assertion

• eFifth alphabetic character
• piCircle's fundamental ratio
• imaginaryExisting only in thought
• unityWholeness through cohesion

beautiful · elegant · formula · exponential · trigonometric · complex numbers · cosine · sine

calculus

Mathematical analysis system

• functionPurpose or duty
• infinite seriesSum with unlimited terms
• exponentialIncreasing by constant ratio
• logarithmExponent-determining mathematical operation

differential equations · integral · convergence · summation · natural logarithm · variation · continuity

Swiss

Of a neutral alpine nation

• BaselSwiss Rhine city
• 18th centuryYears 1701-1800
• prolificProducing abundantly and often
• blindLacking the sense of sight

genius · polymath · Berlin · St. Petersburg · Academy · contributions · theorems · formulas

polyhedra

Multi-faced geometric solids

• verticesCorner points of shapes
• edgesOuter limits or boundaries
• facesFront of heads
• formulaFixed method or notation

solid · angle · polygon · line · circle · triangle · straightedge · compass

bridges

Structures spanning obstacles

• KönigsbergHistoric Baltic port city
• pathRoute for traveling
• circuitClosed electrical pathway
• vertexPoint where edges converge

edge · network · traversal · connected · planar · degree · walk

mechanics

Science of motion

• rigid bodyIdealized undeformable object
• fluid dynamicsScience of flowing matter
• rotationTurning on an axis
• angular momentumRotational motion quantity

buckling · elasticity · columns · load · turbine · hydrodynamics

characteristic

Distinguishing quality or trait

• surfacesOuter layers or appears
• genusTaxonomic rank above species
• spherePerfectly round solid
• torusDoughnut-shaped solid

invariant · classification · orientable · holes · homology · manifold

prime

Readying for action

• divisibilityAbility to divide evenly
• partitionBarrier separating spaces
• FermatFrench number theorist
• conjectureGuess from limited facts

factorization