browse words by letter
a b c d e f g h i j k l m n o p q r s t u v w x y z

trigonometrical

## trigonometrical

```  2  definitions  found

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

Trigonometric  \Trig`o*no*met"ric\,  Trigonometrical
\Trig`o*no*met"ric*al\,  [Cf.  F.  trigonom['e]trique.]
Of  or  pertaining  to  trigonometry;  performed  by  the  rules  of

{Trigonometrical  curve},  a  curve  one  of  whose  co["o]rdinates
is  a  trigonometric  function  of  the  other

{Trigonometrical  function}.  See  under  {Function}.

{Trigonometrical  lines},  lines  which  are  employed  in  solving
the  different  cases  of  plane  and  spherical  trigonometry,
as  sines,  tangents,  secants,  and  the  like  These  lines,  or
the  lengths  of  them  are  trigonometrical  functions  of  the
arcs  and  angles  to  which  they  belong.

{Trigonometrical  survey}.  See  under  {Survey}.

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

Note:  Co["o]rdinates  are  of  several  kinds,  consisting  in  some
of  the  different  cases,  of  the  following  elements,
namely:
a  (Geom.  of  Two  Dimensions)  The  abscissa  and  ordinate  of
any  point,  taken  together;  as  the  abscissa  PY  and
ordinate  PX  of  the  point  P  (Fig.  2,  referred  to  the
co["o]rdinate  axes  AY  and  AX
b  Any  radius  vector  PA  (Fig.  1),  together  with  its  angle
of  inclination  to  a  fixed  line  APX,  by  which  any
point  A  in  the  same  plane  is  referred  to  that  fixed
line  and  a  fixed  point  in  it  called  the  pole,  P.
c  (Geom.  of  Three  Dimensions)  Any  three  lines,  or
distances,  PB  PC  PD  (Fig.  3),  taken  parallel  to
three  co["o]rdinate  axes,  AX  AY  AZ  and  measured
from  the  corresponding  co["o]rdinate  fixed  planes,
YAZ,  XAZ,  XAY,  to  any  point  in  space,  P,  whose
position  is  thereby  determined  with  respect  to  these
planes  and  axes.
d  A  radius  vector,  the  angle  which  it  makes  with  a  fixed
plane,  and  the  angle  which  its  projection  on  the  plane
makes  with  a  fixed  line  line  in  the  plane,  by  which
means  any  point  in  space  at  the  free  extremity  of  the
radius  vector  is  referred  to  that  fixed  plane  and
fixed  line  and  a  fixed  point  in  that  line  the  pole

{Cartesian  co["o]rdinates}.  See  under  {Cartesian}.

{Geographical  co["o]rdinates},  the  latitude  and  longitude  of
a  place  by  which  its  relative  situation  on  the  globe  is
known  The  height  of  the  above  the  sea  level  constitutes  a
third  co["o]rdinate.

vector  and  its  angle  of  inclination  to  another  line  or  a
line  and  plane;  as  those  defined  in
b  and
d  above.

{Rectangular  co["o]rdinates},  co["o]rdinates  the  axes  of
which  intersect  at  right  angles.

{Rectilinear  co["o]rdinates},  co["o]rdinates  made  up  of  right
lines.  Those  defined  in
a  and
c  above  are  called  also  {Cartesian  co["o]rdinates}.

{Trigonometrical}  or  {Spherical  co["o]rdinates},  elements  of
reference,  by  means  of  which  the  position  of  a  point  on
the  surface  of  a  sphere  may  be  determined  with  respect  to
two  great  circles  of  the  sphere.

{Trilinear  co["o]rdinates},  co["o]rdinates  of  a  point  in  a
plane,  consisting  of  the  three  ratios  which  the  three
distances  of  the  point  from  three  fixed  lines  have  one  to
another.
```