geometry: Difference between revisions

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=Info=
=Info=
The definitions on this page are from [http://vlasisku.lojban.org/vlasisku/ vlasisku].
The definitions on this page are from [http://vlasisku.lojban.org/vlasisku/ vlasisku].
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=Plane Geometry=
=Plane Geometry=


'''plita'''
;plita


x1 is a plane (2-dimensional shape/form) defined by points x2 (set)
: x1 is a plane (2-dimensional shape/form) defined by points x2 (set).


'''mokca'''
;mokca


x1 is a point/instant/moment (0-dimensional shape/form) in/on/at time/place x2.
: x1 is a point/instant/moment (0-dimensional shape/form) in/on/at time/place x2.


'''linji'''
;linji


x1 is a line/among lines (1-dimensional shape/form) defined by set of points x2.
: x1 is a line/among lines (1-dimensional shape/form) defined by set of points x2.


'''sirji'''
;sirji


x1 is straight/direct/line segment/interval between x2 and x3.
: x1 is straight/direct/line segment/interval between x2 and x3.


'''cuktai'''
;jganu


t1=c1 is a circle.
: x1 is an angle (2-dimensional shape/form) from vertex x2 subtended by lateral (segment) x3.


'''kruvi'''
;kruvi


x1 is a curve/turn/bend in x2, at locus x3, and defined by set of points/properties x4.
: x1 is a curve/turn/bend in x2, at locus x3, and defined by set of points/properties x4.


'''gancuktai'''
;gancuktai


t1 is an ellipse (geometric form) of object/abstraction/manifestation t2 (object/abstract) wide in dimension x3=g2.
: t1 is an ellipse (geometric form) of object/abstraction/manifestation t2 (object/abstract) wide in dimension x3=g2.


'''backemselrerkru'''
;backemselrerkru


k1 is a hyperbola in k2 at k3 defined by set of points/properties k4.
: k1 is a hyperbola in k2 at k3 defined by set of points/properties k4.
 
{| class="wikitable"
|-
| circle|| cuktai
|-
| rectangle|| clakurfa
|-
| triangle|| cibygatai
|-
| rhombus|| sa'horkurfa
|-
| equilateral triangle|| cibypitkubli
|-
| square|| kubykurfa
|-
| regular pentagon|| mumpitkubli
|-
| regular hexagon|| xavypitkubli
|}


----
=Solid Geometry=
=Solid Geometry=


'''konju'''
;konju


x1 is a cone (shape/form) of material x2 with vertex x3.
: x1 is a cone (shape/form) of material x2 with vertex x3.


'''pirmidi'''
;pirmidi


x1 is a pyramid of base/side x2 and height x3.
: x1 is a pyramid of base/side x2 and height x3.


'''kubli'''
;bolci


x1 is a cube/regular polyhedron/polygon of dimensions x2 (def. 3), surfaces/sides x3 (def. 6).
: x1 is a ball/sphere/orb/globe (shape/form) of material x2; x1 is a spherical object (made of x2).


----
=Multidimensional=
=Multidimensional=


'''kurfa'''
;kubli
 
: x1 is a cube/regular polyhedron/polygon of dimensions x2 (def. 3), surfaces/sides x3 (def. 6).
 
;kurfa
 
: x1 is a right-angled shape/form defined by set of vertices x2, dimensions x3 (default 2).
 
;sarlu


x1 is a right-angled shape/form defined by set of vertices x2, dimensions x3 (default 2).
: x1 is a spiral/helix/whorl/[vortex] (shape/form) with limits x2, of dimensionality x3.


'''sarlu'''
;djine


x1 is a spiral/helix/whorl/[vortex] [shape/form] with limits x2, of dimensionality x3.
: x1 is a ring/annulus/torus/circle (shape/form) of material x2, inside diam. x3, outside diam. x4.


----
=Analytic Geometry=
=Analytic Geometry=



Latest revision as of 00:51, 19 December 2014

Info

The definitions on this page are from vlasisku.

Plane Geometry

plita
x1 is a plane (2-dimensional shape/form) defined by points x2 (set).
mokca
x1 is a point/instant/moment (0-dimensional shape/form) in/on/at time/place x2.
linji
x1 is a line/among lines (1-dimensional shape/form) defined by set of points x2.
sirji
x1 is straight/direct/line segment/interval between x2 and x3.
jganu
x1 is an angle (2-dimensional shape/form) from vertex x2 subtended by lateral (segment) x3.
kruvi
x1 is a curve/turn/bend in x2, at locus x3, and defined by set of points/properties x4.
gancuktai
t1 is an ellipse (geometric form) of object/abstraction/manifestation t2 (object/abstract) wide in dimension x3=g2.
backemselrerkru
k1 is a hyperbola in k2 at k3 defined by set of points/properties k4.
circle cuktai
rectangle clakurfa
triangle cibygatai
rhombus sa'horkurfa
equilateral triangle cibypitkubli
square kubykurfa
regular pentagon mumpitkubli
regular hexagon xavypitkubli

Solid Geometry

konju
x1 is a cone (shape/form) of material x2 with vertex x3.
pirmidi
x1 is a pyramid of base/side x2 and height x3.
bolci
x1 is a ball/sphere/orb/globe (shape/form) of material x2; x1 is a spherical object (made of x2).

Multidimensional

kubli
x1 is a cube/regular polyhedron/polygon of dimensions x2 (def. 3), surfaces/sides x3 (def. 6).
kurfa
x1 is a right-angled shape/form defined by set of vertices x2, dimensions x3 (default 2).
sarlu
x1 is a spiral/helix/whorl/[vortex] (shape/form) with limits x2, of dimensionality x3.
djine
x1 is a ring/annulus/torus/circle (shape/form) of material x2, inside diam. x3, outside diam. x4.

Analytic Geometry

x-axis pavromli'i
y-axis relromli'i
z-axis cibromli'i