## Center and radiius of a circle in 3d...

restart;
_local(D, O);
with(Student:-MultivariateCalculus);
A := [0, 0, 0];
B := [a, 0, 0];
C := [a, b, 0];
D := [0, b, 0];
S := [0, 0, h];
O := [x, y, z];
lineSC := Line(S, C);
lineSD := Line(S, D);
H := Projection(A, lineSC);
K := Projection(A, lineSD);
OH := H - O;
OK := K - O;
OC := C - O;
M := Matrix([OH, OK, OC]);
O := eval(O, %);
R := simplify(Distance(O, H));
O

Student:-MultivariateCalculus:-LineApplyFunction([0,0,h],

[Typesetting:-mtable(Typesetting:-mtr(Typesetting:-mtd(a,

rowalign = "", columnalign = "", groupalign = "",

rowspan = "1", columnspan = "1"), rowalign = "",

columnalign = "", groupalign = ""), Typesetting:-mtr(

Typesetting:-mtd(b, rowalign = "", columnalign = "",

groupalign = "", rowspan = "1", columnspan = "1"),

rowalign = "", columnalign = "", groupalign = ""),

Typesetting:-mtr(Typesetting:-mtd(uminus0h, rowalign = "",

columnalign = "", groupalign = "", rowspan = "1",

columnspan = "1"), rowalign = "", columnalign = "",

groupalign = ""), foreground = "[0,0,0]", readonly = "false",

align = "axis", rowalign = "baseline", columnalign = "center",

groupalign = "{left}", alignmentscope = "true",

columnwidth = "auto", width = "auto", rowspacing = "1.0ex",

columnspacing = "0.8em", rowlines = "none",

columnlines = "none", frame = "none",

framespacing = "0.4em 0.5ex", equalrows = "false",

equalcolumns = "false", displaystyle = "false", side = "right",

minlabelspacing = "0.8em")],variables=[x,y,z],parameter=t,id=1)

Student:-MultivariateCalculus:-LineApplyFunction([0,0,h],

[Typesetting:-mtable(Typesetting:-mtr(Typesetting:-mtd(0,

rowalign = "", columnalign = "", groupalign = "",

rowspan = "1", columnspan = "1"), rowalign = "",

columnalign = "", groupalign = ""), Typesetting:-mtr(

Typesetting:-mtd(b, rowalign = "", columnalign = "",

groupalign = "", rowspan = "1", columnspan = "1"),

rowalign = "", columnalign = "", groupalign = ""),

Typesetting:-mtr(Typesetting:-mtd(uminus0h, rowalign = "",

columnalign = "", groupalign = "", rowspan = "1",

columnspan = "1"), rowalign = "", columnalign = "",

groupalign = ""), foreground = "[0,0,0]", readonly = "false",

align = "axis", rowalign = "baseline", columnalign = "center",

groupalign = "{left}", alignmentscope = "true",

columnwidth = "auto", width = "auto", rowspacing = "1.0ex",

columnspacing = "0.8em", rowlines = "none",

columnlines = "none", frame = "none",

framespacing = "0.4em 0.5ex", equalrows = "false",

equalcolumns = "false", displaystyle = "false", side = "right",

minlabelspacing = "0.8em")],variables=[x,y,z],parameter=t,id=2)

/     2            2         / 2    2\ /
|    h  a         h  b     h \a  + b / |
HAssign|------------,------------,------------|
| 2    2    2  2    2    2  2    2    2|
\a  + b  + h  a  + b  + h  a  + b  + h \

/    2         2  /
|   h  b    h b   |
KAssign|0,-------,-------|
|   2    2  2    2|
\  b  + h  b  + h \

/                2                       2
|               h  a                    h  b
OHAssign|uminus0x + ------------,uminus0y + ------------,uminus0z
|            2    2    2             2    2    2
\           a  + b  + h             a  + b  + h

/ 2    2\ /
h \a  + b / |
+ ------------|
2    2    2|
a  + b  + h \

/                      2                    2  /
|                     h  b               h b   |
OKAssign|uminus0x,uminus0y + -------,uminus0z + -------|
|                     2    2             2    2|
\                    b  + h             b  + h \

OCAssign(uminus0x + a,uminus0y + b,uminus0z)

M := Matrix(3, 3, {(1, 1) = Typesetting:-mrow(Typesetting:-mo("&\

uminus0;"), Typesetting:-mi("x"), Typesetting:-mo("&plus;"),

Typesetting:-mfrac(Typesetting:-mrow(Typesetting:-msup(Typese\

tting:-mi("h"), Typesetting:-mn("2")), Typesetting:-mo("&Invis\

ibleTimes;"), Typesetting:-mi("a")), Typesetting:-mrow(Typeset\

ting:-msup(Typesetting:-mi("a"), Typesetting:-mn("2")),

Typesetting:-mo("&plus;"), Typesetting:-msup(Typesetting:-mi(\

"b"), Typesetting:-mn("2")), Typesetting:-mo("&plus;"),

Typesetting:-msup(Typesetting:-mi("h"), Typesetting:-mn("2"))\

))), (1, 2) = Typesetting:-mrow(Typesetting:-mo("&uminus0;"),

Typesetting:-mi("y"), Typesetting:-mo("&plus;"), Typesetting:\

-mfrac(Typesetting:-mrow(Typesetting:-msup(Typesetting:-mi("h"\

), Typesetting:-mn("2")), Typesetting:-mo("&InvisibleTimes;"),\

Typesetting:-mi("b")), Typesetting:-mrow(Typesetting:-msup(Ty\

pesetting:-mi("a"), Typesetting:-mn("2")), Typesetting:-mo("&p\

lus;"), Typesetting:-msup(Typesetting:-mi("b"), Typesetting:-m\

n("2")), Typesetting:-mo("&plus;"), Typesetting:-msup(Typesett\

ing:-mi("h"), Typesetting:-mn("2"))))), (1, 3) = Typesetting:-\

mrow(Typesetting:-mo("&uminus0;"), Typesetting:-mi("z"),

Typesetting:-mo("&plus;"), Typesetting:-mfrac(Typesetting:-mr\

ow(Typesetting:-mi("h"), Typesetting:-mo("&InvisibleTimes;"),

Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-msup(Type\

setting:-mi("a"), Typesetting:-mn("2")), Typesetting:-mo("&plu\

s;"), Typesetting:-msup(Typesetting:-mi("b"), Typesetting:-mn(\

"2"))))), Typesetting:-mrow(Typesetting:-msup(Typesetting:-mi(\

"a"), Typesetting:-mn("2")), Typesetting:-mo("&plus;"),

Typesetting:-msup(Typesetting:-mi("b"), Typesetting:-mn("2"))\

, Typesetting:-mo("&plus;"), Typesetting:-msup(Typesetting:-mi\

("h"), Typesetting:-mn("2"))))), (2, 1) = Typesetting:-mrow(Ty\

pesetting:-mo("&uminus0;"), Typesetting:-mi("x")), (2, 2) =

Typesetting:-mrow(Typesetting:-mo("&uminus0;"), Typesetting:-\

mi("y"), Typesetting:-mo("&plus;"), Typesetting:-mfrac(Typeset\

ting:-mrow(Typesetting:-msup(Typesetting:-mi("h"),

Typesetting:-mn("2")), Typesetting:-mo("&InvisibleTimes;"),

Typesetting:-mi("b")), Typesetting:-mrow(Typesetting:-msup(Ty\

pesetting:-mi("b"), Typesetting:-mn("2")), Typesetting:-mo("&p\

lus;"), Typesetting:-msup(Typesetting:-mi("h"), Typesetting:-m\

n("2"))))), (2, 3) = Typesetting:-mrow(Typesetting:-mo("&uminu\

s0;"), Typesetting:-mi("z"), Typesetting:-mo("&plus;"),

Typesetting:-mfrac(Typesetting:-mrow(Typesetting:-mi("h"),

Typesetting:-mo("&InvisibleTimes;"), Typesetting:-msup(Typese\

tting:-mi("b"), Typesetting:-mn("2"))), Typesetting:-mrow(Type\

setting:-msup(Typesetting:-mi("b"), Typesetting:-mn("2")),

Typesetting:-mo("&plus;"), Typesetting:-msup(Typesetting:-mi(\

"h"), Typesetting:-mn("2"))))), (3, 1) = Typesetting:-mrow(Typ\

esetting:-mo("&uminus0;"), Typesetting:-mi("x"), Typesetting:-\

mo("&plus;"), Typesetting:-mi("a")), (3, 2) = Typesetting:-mro\

w(Typesetting:-mo("&uminus0;"), Typesetting:-mi("y"),

Typesetting:-mo("&plus;"), Typesetting:-mi("b")), (3, 3) =

Typesetting:-mrow(Typesetting:-mo("&uminus0;"), Typesetting:-\

mi("z"))})

Error, invalid input: eval received Matrix(3, 3, {(1, 1) = -x+h^2*a/(a^2+b^2+h^2), (1, 2) = -y+h^2*b/(a^2+b^2+h^2), (1, 3) = -z+h*(a^2+b^2)/(a^2+b^2+h^2), (2, 1) = -x, (2, 2) = -y+h^2*b/(b^2+h^2), (2, 3) = -z+h*b^2/(b^2+h^2), (3, 1) = -x+a, (3, 2) = -y+b, (3, 3) = -z}), which is not valid for its 2nd argument, eqns
/     1       / 2  2      2        2  2    2  2    2  2
R := |------------ \a  h  - 2 a  h z + a  x  + a  y  + a  z
| 2    2    2
\a  + b  + h

2      2  2      2        2  2    2  2    2  2
- 2 a h  x + b  h  - 2 b  h z + b  x  + b  y  + b  z

2      2  2    2  2    2  2\\
- 2 b h  y + h  x  + h  y  + h  z /|^(1/2)
|
/
Why this error ? Thank you.

## Errors (red boxes) in Maple Flow...

I get this error when typing a sigma symbol with some subscripts.

Is there anyway to get rid of it?

If mapleflow doesn't allow typing in this way, how can I type it in an unexcutable Math format like document mode in Maple?

## Maple-flow, cost, Linux version...

Hi.  I have not been able to find the individual cost of Maple Flow.  How much does it cost?  (in CDN)  Is it inlcuded in Maple?

Can Maple Flow be installed on Linux?  If not, will a Linux version be released on the future?

Regards

## shown palettes in mapleflow...

hi,

I looked at the file mapleflowrc and saw that it lists several palettes that are not visible in the workshheet dock.

Does anyone know if these palettes are available in mapleflow? And if so, how to make them visible in the worksheet dock?