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geometrical

## geometrical

```  2  definitions  found

From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]:

Geometric  \Ge`o*met"ric\,  Geometrical  \Ge`o*met"ric*al\,  a.  [L.
geometricus  Gr  ?:  cf  F.  g['e]om['e]trique.]
Pertaining  to  or  according  to  the  rules  or  principles  of
geometry;  determined  by  geometry;  as  a  geometrical  solution
of  a  problem.

Note:  Geometric  is  often  used  as  opposed  to  algebraic,  to
include  processes  or  solutions  in  which  the
propositions  or  principles  of  geometry  are  made  use  of
rather  than  those  of  algebra.

Note:  Geometrical  is  often  used  in  a  limited  or  strictly
technical  sense  as  opposed  to  mechanical;  thus  a
construction  or  solution  is  geometrical  which  can  be
made  by  ruler  and  compasses,  i.  e.,  by  means  of  right
lines  and  circles.  Every  construction  or  solution  which
requires  any  other  curve,  or  such  motion  of  a  line  or
circle  as  would  generate  any  other  curve,  is  not
geometrical,  but  mechanical.  By  another  distinction,  a
geometrical  solution  is  one  obtained  by  the  rules  of
geometry,  or  processes  of  analysis,  and  hence  is  exact;
while  a  mechanical  solution  is  one  obtained  by  trial,
by  actual  measurements,  with  instruments,  etc.,  and  is
only  approximate  and  empirical.

{Geometrical  curve}.  Same  as  {Algebraic  curve};  --  so  called
because  their  different  points  may  be  constructed  by  the
operations  of  elementary  geometry.

{Geometric  lathe},  an  instrument  for  engraving  bank  notes,
etc.,  with  complicated  patterns  of  interlacing  lines;  --
called  also  {cycloidal  engine}.

{Geometrical  pace},  a  measure  of  five  feet.

{Geometric  pen},  an  instrument  for  drawing  geometric  curves,
in  which  the  movements  of  a  pen  or  pencil  attached  to  a
revolving  arm  of  adjustable  length  may  be  indefinitely
varied  by  changing  the  toothed  wheels  which  give  motion  to
the  arm.

{Geometrical  plane}  (Persp.),  the  same  as  {Ground  plane}  .

{Geometrical  progression},  {proportion},  {ratio}.  See  under
{Progression},  {Proportion}  and  {Ratio}.

circle  of  a  cogwheel.  --Knight.

{Geometric  spider}  (Zo["o]l.),  one  of  many  species  of
spiders,  which  spin  a  geometrical  web.  They  mostly  belong
to  {Epeira}  and  allied  genera,  as  the  garden  spider.  See
{Garden  spider}.

{Geometric  square},  a  portable  instrument  in  the  form  of  a
square  frame  for  ascertaining  distances  and  heights  by
measuring  angles.

{Geometrical  staircase},  one  in  which  the  stairs  are
supported  by  the  wall  at  one  end  only.

{Geometrical  tracery},  in  architecture  and  decoration,
tracery  arranged  in  geometrical  figures.

From  WordNet  r  1.6  [wn]:

geometrical
adj  1:  of  or  relating  to  or  determined  by  geometry  [syn:  {geometric}]
2:  (fine  arts)  characterized  by  simple  geometric  forms  in
design  and  decoration;  "a  buffalo  hide  painted  with  red
and  black  geometric  designs"  [syn:  {geometric}]
```