Some handy equations of parabolas. The graphic is mine. If you use, please give credit (or even better, reblog from the source)

Some handy equations of parabolas. The graphic is mine. If you use, please give credit (or even better, reblog from the source)

Somali Astronomical/Astrological terms

Astronomy/Astrology;

Space = Fagaagga

Space and Time = Fagaagga iyo Semen

Solar System = Iskujoogga qorraxda

The Solar System = Isku-joog qorraxeed

Galaxies = Diillimo-caanoodyo

Planets = Meerayaasha

Planet = Meere

Planet = Malluug

The Sun = Qorraxda

Moon = Dayax

Mercury = Dusaa

Venus = Waxaraxirta(Sugra) ama Bakool

Earth = Dhulka

Mars = Farraare

Jupiter = Cirjeex

Saturn = Raage

Uranus = Uraano

Neptune = Docay

Saturn rings = Garaangaraha Raage ama Saxal

Dwarf planet = meere-cillin ah

Nebulae = Ciiryamada xiddigaha

Crab Nebula = Ciiryaamada

Super Nova = Xiddig dhimanaaya

Asteroids = Dhadhaabyo

Comets = Dibdheeryo

Meteorider = Burburka jibinta ama xiddigaha ridma

Meteor = Jibin

Meteorites = cir-kasoo-dhac ama shiidmadoobe

Light Year = If-sanadeed

Black holes = Dalool-madowbaha

Open Universe = Koonka Furan

Closed Universe = Koonka Xiran

Expanding Universe = isbaahidda Koonka

Light = ifka

Speed of Light = Xawliga ifka

Cosmos = Koonka

Color Spectrum = shucaaca ilayska-ifka

Lunar Eclipse = Dayax-madoobaad

Solar Eclipse = Qorrax-madoobaad

Calendar = Shintiris-sanadeedka

Leap Year = Sanad shindhalad ah

Astronomy = Xiddiga'aqoonta

Astronomers = ogaalyahannada xiddigo-aqoonta

Satellite = Dayaxgacmeed

Navigation Satellites = Hagidda dayaxgacmeedyada

Space Exploration = Sahminta fagaagga sare adduunka

Earth-based observatories = Rugaha kuurgalka fagaagga dhulkaku Saldhigan

Research Centres = Rugo cilmibaaris

Spacecraft = Gaadiidka Cir-maaxidda

Spaceships = Maraakiibta cir-maaxidda

Robot Vehicle = Alaadaha dadoobisan

Telescope = Doorbin

Mirror = Biladdaye

Lenses = Quraarada cadaska

Zoom = Waxweyneynta

Observatories = Rugo-kuurgal

Spherical = Ugxan

Rotation = meerwareeg

Rotate = udub-wareeg

North Pole = Qudbiga waqooyi

South Pole = Qudbiga konfur

Northern Lights = Wirwirka Qudbiga woqoyi

Southern Lights = Wirwirka Qudbiga koofureede

Equator = dhulbaraha

Core = Bu’

Inner core = Bu’da gudo-xigeenka

Sulfuric Acid = aashitada kibriidka

Greenhouse effect = kulaylkaydinta

Astronomical unit = Halbeegga xiddigaha

Diameter = Dhexroorka

Formula = Hab-xisaabeed

Particles = bitaanbitooyin

Anti-Particles = lidka-bitaanbitooyinka

Particles = iniino

Nuclear reaction = iskushubmidda bu'aha

Magnetic Field = Birlabta

Charge electricity = Cabbeynta Shixnadaha Jacda

Gravitational Forces = cuf-isjiidashada ama xoogga-jiiddada

Gravity = Cuf-jiiddada

Circuit: Mareegta

Current= Qulqulka

Forces = Xoogag

Earth’s gravity = Xoogga-jiiddada dhulka

Inertia Law = Xogta qaynuunka nuuxsi wax-negaadsan

Acceleration = Xowli

Response Act = Qaynuunka falka iyo falcelinta

Theory of Relativity = Fikriga isudhiganka

Quantum Theory = Fikriga imisada ama meeqada

Mass = Jir

Energy = Tabarta

Relative = Hadba Rogmada

Electromagnetic wavelengths = Dhererka hirarka ku danabeysan birlabta

Pyramids = Taallo-tiirriyaadyo

Zodiac = Cutubka Meecaad

Constellations = Cutubyada xiddigaha

Aries = laxo

Scorpion =daba-alleele ama dib-qallooc

Cancer = naaf

Gemeni = mataanaha

Virgo = afaggaal

Sagittarius = dameerajoogeen

Pleiades =Urur

Leo = Libaax

Capacitor = Madhxiye

Resistor = Caabiye

Diode = Laba Qotinle

Transformer = Dooriye

Socod Karaarsan = Accelerated Motion

Samaan = Time

Barobax = Displacement

Fogaan = Distance

Karaar = Acceleration

Keynaan = Velocity

Xawaare = Speed

Celcelis = Average

Socod Winiin = Circular Motion

Barobax –xagleed = Angular Displacement

Gacan = Radius

Karaar –xagleed = Angular Acceleration

Keynaan –xagleed = Angular Velocity

Xoog = Force

Culeys = Weight

Xoog –cuf –isjiidad = Gravitational Force

Xoog –dilaac = Shear Force

Xoog –giigsan = Tensile Force (tension)

Xoog –islis = Frictional Force

Xoog –ligan = Normal Force

Xoog –taab = Tangential Force

Xoog –urrur = Compressive Force (compression)

Xoog –xudumeed = Centripetal Force

Weheliyaha isliska = Coefficient of Friction

Daafad = Momentum

Daafad –xagleed = Angular Momentum

Gujo = Impulse

Gujo –xagleed = Angular impulse

Kalka = Period

Maroojin = Moment

Maroojinta Wahsiga = Moment of inertia (Angular mass)

Walhade = Pendulum

Tamar = Energy

Hawl = Work

Awood = Power

Tamar-keyd = Potential Energy

Tamar-socod = Kinetic Energy

Speed = Xawaare

Velocity = Kaynaan

Acceleration = Karaar (I think this is more appropriate than xowli and this is how i remember it from Fiisigiska)

Deceleration = Karaar-jab

Average Velocity： Kaynaan Celcelis

Momentum: Daabadayn

Diffusion: Saydhin

Capacitor: Madhxinta

Capacitance Capacitor: Madhxinta madhxiye

Radio Activity: Kaah

Infrared: Casaan Dhiimeed

Decay: Qudhmis

Decay series: Qudhmis isdaba Joog

Resistance: Iska caabin

Concave Mirror: Bikaaco Golxeed

Convex Mirror: Bikaaco Tuureed

Virtual Image: Humaag Beeneed

Real Image: Humaag runeed

Displace Ment: Baro bixin

Noble gases: Hawooyinka Wahsada

Vector: Leeb

Hir = Wave

Daryan = Echo

Itaal = Intensity

Tooxda maqalka = Range of audibility

Danan = Pitch

Isku duba-dhac = Resonance

Ileys = Light

Noqod = Reflection

Daahfurran/gudbiye = Transparent

Falaar abaareed = Incident ray

Golxo = Concave

Tuur = Convex

Xagasha qiirqiirka = Critical angle

Xisaab - Maths

Tiro = Number

Tiro tirsiimo = Natural number

Tiro idil = Whole number

Abyoone = Integer

Jajab/Tiro lakab = Rational number

Mutaxan = Prime

Farac = Composite

Tiro maangal ah = Real number

Tiro maangad ah = Imaginary number

Tiro kakan = Complex number

Wadar = Sum

Faraq = difference

Taran = Product

Qeyb = Quotient

Urur = Set

Hormo-urur = Subset

Hormo-urur quman = Proper subset

Dhextaal = Intersection

Isutag = Union

Duleedin = Complement

Aljebro = Algebra

Doorsoome = Variable

Tibix = Term

Hawraar = Expression

Tibxaale = Polynomial

Heer = Degree

Hawraar lakab = Rational expression

Isirayn = Factorization

Isir = Factor

Isle’eg = Equation

Isle’eg toosan = Linear equation

Isle’eg wadajira = Simultaneous equation

Sunsun = Sequence

Dareerimo = Series

Faansaar = Function

Wanqar = Symmetry

Tikraar = Intercept

Made = Asymptote

Tiirada = Slope

Weydaar = Inverse

Qiime sugan = Absolute value

Xididshe = Radical

Saabley = Quadratic equation

Joomitiri - Geometry

Bar = Point

Xariiq = Line

Xagal = Angle

Fool = Bearing

Barbaro = Parallel

Qoton = Perpendicular

Sallax = Plane

Goobo = Circle

Gacan = Radius

Dhexroor/Dhexfur = Diameter

Qaanso = Arc

Fatuuq = Sector

Labojibaarane = Square

Dhinac = Side

Laydi = Rectangle

Joog = Length

Balac = Width

Saddex-xagal = Triangle

Sal = base

Dherer = Height

Gundho = Centroid

Barbaroole = Parallelogram

Koor = Trapezoid

Qardhaas = Rhombus

Gunbur = Pyramid

Toobin = Cone

Dhululubo = Cylinder

Gabal Toobineed = Conic section

Goobo = Circle

Saab = Parabola

Gees = Vertex

Jeedshe = Directrix

Kulmis = Focus

Qabaal = Ellipse

Kulmisyo = Foci

Dhidib weyne = Major axis

Dhidib yare = Minor axis

Labosaab = Hyperbola

Dhidib-wadaaje = Transverse axis

Dhidib-xisti = Conjugate axis

Taxaneyaal = Matrices

Taxane = Matrix

Jiiftax = Row

Joogtax = Colunm

Suge = Determinant

Leeb = Vector

Itimaal = Probability

Abnaqan = Factorial

Raaboqaad = Permutation

Racayn = Combination

Waqdhac = Event

Xigidda = Differentiation

Xad = Limit

Xigsin = Derivative

Lid-xigsin = antiderivative

Abyan = Integration

Abyane huban = Definite integral

The hyperboloid

“In geometry, a surface S is ruled (also called a scroll) if through every point of S there is a straight line that lies on S. The most familiar examples (illustrated here in three-dimensional Euclidean space) are the plane and the curved surface of acylinder or cone. Other examples are a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space.” - wikipediaA ruled surface can always be described (at least locally) as the set of points swept by a moving straight line.

The line from the focus to the some point on a parabola is equidistant to the line from that point to this thing called the directrix. That’s a great name for a cat.

—
Calculus lecturer

My custom paint of Iron Mother Directrix from Warmachine’s Convergence of Cyriss army!

Based on Anthy Himemiya from Revolutionary Girl Utena. Specifically, Movie-Anthy from “Adolescence of Utena”

My whole army will be themed after this series, but I don’t have the others finished yet

Divine Styler- Sound Quest

Origami axioms

Origami, the art of paper folding, can be interpreted as an intriguing geometrical model. Folds represent lines, and intersections of folds, points. Now, to model origami, we need to know which new folds one can make from a given configuration. The most natural model uses the axioms of Huzita-Hatori-Justin, describing the operations that can be made when folding a piece of paper.

Humiaki Huzita discovered and reported the first six axioms in 1991. The seventh independent construction was discovered by Koshiro Hatori in 2001. Jacques Justin, however, already published the complete system with seven axioms in 1989, but his work remained unnoticed.

**Axiom 1**: one can fold a line through two given points.

**Axiom 2**: one can fold a given point onto another given point.

**Axiom 3**: one can fold a given line onto another given line.

**Axiom 4**: one can fold a given line onto itself, while folding through a given point.

**Axiom 5**: one can fold a given point onto a given line, while folding through a given point.

**Axiom 6**: one can fold two given points on two given lines.

**Axiom 7**: one can fold a given line onto itself, while folding a given point onto another given line.

The first two axioms don’t seem that exciting, but they are needed for basic constructions. Axiom 3 states the construction of bissectrices, axiom 4 the construction of perpendiculars. Axiom 5, interestingly, provides a method for solving quadratic equations by origami; the new fold is in fact a tangent line to a parabola (with the given point and fold as focus and directrix, respectively) through a given point. Axiom 6 even allows us to solve cubic equations, which is in general not possible using only straightedge and compass!