geometers
Students of forms
Geometers are mathematicians who specialize in geometry, the branch of mathematics concerned with the properties and relationships of points, lines, surfaces, and solids.
The term also refers to a large family of moths (Geometridae) whose caterpillars move by looping their bodies, appearing to "measure the earth" as they inch along—the literal meaning of the Greek root.
The ancient geometers developed proofs that still underpin modern mathematics.
Father of geometry
- PythagorasAncient Greek mathematician
- proofDemonstration of truth
- axiomSelf-evident starting principle
- postulateAssumed starting point
conjecture · corollary · lemma · proposition · demonstration · construction · Thales · Apollonius
Device showing cardinal directions
- straightedgeLine-drawing tool
- protractorAngle-measuring instrument
- rulerOne who governs
- calipersAdjustable-jaw measuring device
bisection · trisection · angle · arc · chord · radius · diameter · circumference
Three-sided plane figure
- circleCurved closed shape
- squareRhombus with right angles
- polygonMultisided plane figure
- ellipseConic section curve
hexagon · pentagon · octagon · rhombus · trapezoid · parallelogram · quadrilateral · tetrahedron
Device showing cardinal directions
- straightedgeLine-drawing tool
- bisectDivide into two equal portions
- inscribeCarve letters into surface
- circumscribeTo enclose or restrict
perpendicular · parallel · tangent · secant · arc · locus · diagram · figure
Measurable extent or scope
- planeWinged flying vehicle
- surfaceOutermost boundary layer
- solidFirm matter state
- manifoldMany and various
curvature · topology · coordinate · vector · transformation · projection · symmetry · rotation
Euclid
Father of geometry
- PythagorasAncient Greek mathematician
- proofDemonstration of truth
- axiomSelf-evident starting principle
postulate · conjecture · corollary · lemma · proposition · demonstration · construction · Thales · Apollonius · Archimedes
compass
Device showing cardinal directions
- straightedgeLine-drawing tool
- protractorAngle-measuring instrument
- rulerOne who governs
calipers · bisection · trisection · angle · arc · chord · radius · diameter · circumference · area
triangle
Three-sided plane figure
ellipse · hexagon · pentagon · octagon · rhombus · trapezoid · parallelogram · quadrilateral · tetrahedron · dodecahedron
compass
Device showing cardinal directions
- straightedgeLine-drawing tool
- bisectDivide into two equal portions
- inscribeCarve letters into surface
circumscribe · perpendicular · parallel · tangent · secant · arc · locus · diagram · figure · drawing
dimension
Measurable extent or scope
manifold · curvature · topology · coordinate · vector · transformation · projection · symmetry · rotation · reflection
Geometridae
Inchworm moth family
- inchwormLooping moth larva
- looperBody-arching larva or replay device
- caterpillarMoth or butterfly young
larvae · wingspan · camouflage · peppered · emerald · carpet · wave · pug · nocturnal · antennae
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