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 | |||
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 | |||
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 | |||
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 | |||
x1 is straight/direct/line segment/interval between x2 and x3. | : 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. | : 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. | : 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. | : 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 | |||
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 | |||
x1 is a pyramid of base/side x2 and height x3. | : x1 is a pyramid of base/side x2 and height x3. | ||
;bolci | |||
x1 is a | : x1 is a ball/sphere/orb/globe (shape/form) of material x2; x1 is a spherical object (made of x2). | ||
=Multidimensional= | =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 | : x1 is a spiral/helix/whorl/[vortex] (shape/form) with limits x2, of dimensionality x3. | ||
;djine | |||
x1 is a | : 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 |