A geomantic shield is fifteen figures built out of four. This steps through its construction, one line of one figure at a time, so you can see where each dot comes from.
Cast — four Mothers, then their Daughters
PuerMother 1 · House 1
AmissioMother 2 · House 2
AlbusMother 3 · House 3
PopulusMother 4 · House 4
The lesser FortuneDaughter 1 · House 5
LætitiaDaughter 2 · House 6
ConjunctioDaughter 3 · House 7
LætitiaDaughter 4 · House 8
Nieces — each the sum of the two above it
☊ Dragons headNiece 1 · House 9
AlbusNiece 2 · House 10
RubeusNiece 3 · House 11
☋ Dragons taileNiece 4 · House 12
Witnesses — the Coadjutrices, or Testes
AquisitioRight Witness
AmissioLeft Witness
Judge — the Index of the whole figure
Via4 dots — even, as a Judge must be
How this shield was made
Step 1 of 12
The cast — four Mothers
Sixteen rows of points are made without counting them, four rows to a figure. Each row leaves one dot if its points are odd and two if they are even. These four figures are the whole of the chance in a shield; everything below them follows.
Puer
Amissio
Albus
Populus
And now we come to speake of the manner of projecting or setting downe these Figures, which is thus; that we set downe the points according to their course in four lines, from the right hand towards the left, and this in four courses: There will therefore result unto us foure Figures made in foure severall line; which foure Figures are wont to be called Matres: which doe bring forth the rest, filling up and compleating the whole Figure of Judgement
Of Geomancy, scan p. 5 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
Make four rows of points, right to left, without counting them; do that four times over. Each row's parity gives one line, so each course of four rows gives one figure. Those four figures are the Mothers, and they are the only part of a shield that is cast.
Daughter 1
Read the Mothers downwards instead of across: Daughter 1 is the first line of each Mother in turn, Mother 1's on top and Mother 4's at the bottom. No new points are cast — the sixteen lines are the same sixteen, turned on their side.
Mother 1, first linePuer
Mother 2, first lineAmissio
Mother 3, first lineAlbus
Mother 4, first linePopulus
The lesser Fortune
Of these foure Matres are also produced foure other secondary Figures, which they call Filia, or Succedents, which are gathered together after this manner; that is to say, by making the four Matres according to their order, placing them by course one after another; then that which shall result out of every line, maketh the Figure of Filiae, the order whereof is by discending from the superior points through the mediums to the lowest
Of Geomancy, scan p. 6 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
Set the four Mothers side by side and read them downwards instead of across. The four Mothers' first lines are the first Daughter, their second lines the second Daughter, and so on. The Daughters add nothing new: they are the same sixteen lines, transposed.
Daughter 2
Read the Mothers downwards instead of across: Daughter 2 is the second line of each Mother in turn, Mother 1's on top and Mother 4's at the bottom. No new points are cast — the sixteen lines are the same sixteen, turned on their side.
Mother 1, second linePuer
Mother 2, second lineAmissio
Mother 3, second lineAlbus
Mother 4, second linePopulus
Lætitia
Of these foure Matres are also produced foure other secondary Figures, which they call Filia, or Succedents, which are gathered together after this manner; that is to say, by making the four Matres according to their order, placing them by course one after another; then that which shall result out of every line, maketh the Figure of Filiae, the order whereof is by discending from the superior points through the mediums to the lowest
Of Geomancy, scan p. 6 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
Set the four Mothers side by side and read them downwards instead of across. The four Mothers' first lines are the first Daughter, their second lines the second Daughter, and so on. The Daughters add nothing new: they are the same sixteen lines, transposed.
Daughter 3
Read the Mothers downwards instead of across: Daughter 3 is the third line of each Mother in turn, Mother 1's on top and Mother 4's at the bottom. No new points are cast — the sixteen lines are the same sixteen, turned on their side.
Mother 1, third linePuer
Mother 2, third lineAmissio
Mother 3, third lineAlbus
Mother 4, third linePopulus
Conjunctio
Of these foure Matres are also produced foure other secondary Figures, which they call Filia, or Succedents, which are gathered together after this manner; that is to say, by making the four Matres according to their order, placing them by course one after another; then that which shall result out of every line, maketh the Figure of Filiae, the order whereof is by discending from the superior points through the mediums to the lowest
Of Geomancy, scan p. 6 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
Set the four Mothers side by side and read them downwards instead of across. The four Mothers' first lines are the first Daughter, their second lines the second Daughter, and so on. The Daughters add nothing new: they are the same sixteen lines, transposed.
Daughter 4
Read the Mothers downwards instead of across: Daughter 4 is the fourth line of each Mother in turn, Mother 1's on top and Mother 4's at the bottom. No new points are cast — the sixteen lines are the same sixteen, turned on their side.
Mother 1, fourth linePuer
Mother 2, fourth lineAmissio
Mother 3, fourth lineAlbus
Mother 4, fourth linePopulus
Lætitia
Of these foure Matres are also produced foure other secondary Figures, which they call Filia, or Succedents, which are gathered together after this manner; that is to say, by making the four Matres according to their order, placing them by course one after another; then that which shall result out of every line, maketh the Figure of Filiae, the order whereof is by discending from the superior points through the mediums to the lowest
Of Geomancy, scan p. 6 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
Set the four Mothers side by side and read them downwards instead of across. The four Mothers' first lines are the first Daughter, their second lines the second Daughter, and so on. The Daughters add nothing new: they are the same sixteen lines, transposed.
Niece 1
Mother 1 added to Mother 2. Take the two figures line by line: where the two lines are alike the total is even and leaves two dots, where they differ it is odd and leaves one.
Mother 1Puer
Mother 2Amissio
☊ Dragons head
Puer added to Amissio, line by line
Line
Mother 1
Mother 2
Points
Leaves
1
·
·
2 —
even
··two
2
·
··
3 —
odd
·one
3
··
·
3 —
odd
·one
4
·
··
3 —
odd
·one
By the combination or joyning together of the two Figures according to the rule of the even or uneven number in the remaining points of each Figure
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
This is the whole of the arithmetic, and the only operation in the art: add two figures line by line, and ask of each pair of lines whether the total is even or odd. Even leaves two dots, odd leaves one.
Niece 2
Mother 3 added to Mother 4. Take the two figures line by line: where the two lines are alike the total is even and leaves two dots, where they differ it is odd and leaves one.
Mother 3Albus
Mother 4Populus
Albus
Albus added to Populus, line by line
Line
Mother 3
Mother 4
Points
Leaves
1
··
··
4 —
even
··two
2
··
··
4 —
even
··two
3
·
··
3 —
odd
·one
4
··
··
4 —
even
··two
By the combination or joyning together of the two Figures according to the rule of the even or uneven number in the remaining points of each Figure
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
This is the whole of the arithmetic, and the only operation in the art: add two figures line by line, and ask of each pair of lines whether the total is even or odd. Even leaves two dots, odd leaves one.
Niece 3
Daughter 1 added to Daughter 2. Take the two figures line by line: where the two lines are alike the total is even and leaves two dots, where they differ it is odd and leaves one.
Daughter 1The lesser Fortune
Daughter 2Lætitia
Rubeus
The lesser Fortune added to Lætitia, line by line
Line
Daughter 1
Daughter 2
Points
Leaves
1
·
·
2 —
even
··two
2
·
··
3 —
odd
·one
3
··
··
4 —
even
··two
4
··
··
4 —
even
··two
By the combination or joyning together of the two Figures according to the rule of the even or uneven number in the remaining points of each Figure
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
This is the whole of the arithmetic, and the only operation in the art: add two figures line by line, and ask of each pair of lines whether the total is even or odd. Even leaves two dots, odd leaves one.
Niece 4
Daughter 3 added to Daughter 4. Take the two figures line by line: where the two lines are alike the total is even and leaves two dots, where they differ it is odd and leaves one.
Daughter 3Conjunctio
Daughter 4Lætitia
☋ Dragons taile
Conjunctio added to Lætitia, line by line
Line
Daughter 3
Daughter 4
Points
Leaves
1
··
·
3 —
odd
·one
2
·
··
3 —
odd
·one
3
·
··
3 —
odd
·one
4
··
··
4 —
even
··two
By the combination or joyning together of the two Figures according to the rule of the even or uneven number in the remaining points of each Figure
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
This is the whole of the arithmetic, and the only operation in the art: add two figures line by line, and ask of each pair of lines whether the total is even or odd. Even leaves two dots, odd leaves one.
Right Witness
Niece 1 added to Niece 2 — which is to say everything the four Mothers came to. Turner calls the two Witnesses the Coadjutrices, or Testes.
Niece 1☊ Dragons head
Niece 2Albus
Aquisitio
☊ Dragons head added to Albus, line by line
Line
Niece 1
Niece 2
Points
Leaves
1
··
··
4 —
even
··two
2
·
··
3 —
odd
·one
3
·
·
2 —
even
··two
4
·
··
3 —
odd
·one
After the same manner there are produced out of the last foure Figures; that is to say, of the ninth, tenth, eleventh, and twelfth, two Figures which they call Coadjutrices or Testes; out of which two is also one constituted, which is called the Index of the whole Figure, or thing Queried
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
The four Nieces are added in pairs to make two figures — the Witnesses, which Turner calls the Coadjutrices or Testes — and those two are added to make one. That last figure is the Judge, which this printing calls the Index of the whole figure.
Left Witness
Niece 3 added to Niece 4 — everything the four Daughters came to, which is the same sixteen lines read the other way.
Niece 3Rubeus
Niece 4☋ Dragons taile
Amissio
Rubeus added to ☋ Dragons taile, line by line
Line
Niece 3
Niece 4
Points
Leaves
1
··
·
3 —
odd
·one
2
·
·
2 —
even
··two
3
··
·
3 —
odd
·one
4
··
··
4 —
even
··two
After the same manner there are produced out of the last foure Figures; that is to say, of the ninth, tenth, eleventh, and twelfth, two Figures which they call Coadjutrices or Testes; out of which two is also one constituted, which is called the Index of the whole Figure, or thing Queried
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
The four Nieces are added in pairs to make two figures — the Witnesses, which Turner calls the Coadjutrices or Testes — and those two are added to make one. That last figure is the Judge, which this printing calls the Index of the whole figure.
The Judge
The two Witnesses added. Because the Daughters are the Mothers transposed, every point cast has been counted twice on the way up this shield — so the Judge cannot come out odd, and a Judge with an odd number of dots means a mistake somewhere below it.
Right WitnessAquisitio
Left WitnessAmissio
Via
Aquisitio added to Amissio, line by line
Line
Right Witness
Left Witness
Points
Leaves
1
··
·
3 —
odd
·one
2
·
··
3 —
odd
·one
3
··
·
3 —
odd
·one
4
·
··
3 —
odd
·one
After the same manner there are produced out of the last foure Figures; that is to say, of the ninth, tenth, eleventh, and twelfth, two Figures which they call Coadjutrices or Testes; out of which two is also one constituted, which is called the Index of the whole Figure, or thing Queried
Of Geomancy, scan p. 7 — in Fourth Book of Occult Philosophy, Robert Turner's English, London 1655
In plain English
The four Nieces are added in pairs to make two figures — the Witnesses, which Turner calls the Coadjutrices or Testes — and those two are added to make one. That last figure is the Judge, which this printing calls the Index of the whole figure.