DOI Seite / Zitierlink:
https://doi.org/10.11588/diglit.4327#0066
COLUMN OF THE TEMPLE AT PPJENE.
57
Table I.—continued.
Diameters within
the flutes.
Height of
drum.
Diameters within
the flutes.
Height of
drum.
Top.
Bottom.
Top.
Bottom.
45
feet.
3-61
f
3-
;et.
64
feet.
4'05
71
feet.
3-69
feet.
3-75
feet.
3-59
46
•62
63
2-19
72
•70
•70
1-38
47
•62
65
3-22
73
■70
•73
1-38
48
•63
66
2-45
74
•70
•73
3-43
49
■63
66
2-80
75
•70
•74
3-06
50
•64
69
2-61
76
•70
•73
3'84
51
•64
66
3-03
77
•71
•73
1-71
52
•64
76
4-35
78
•71
•78
3-01
53
•65
69
3-50
79
•71
•75
3-36
54
•66
67
1-84
80
•71
•80
4-50
55
•66
67
1-99
81
•72
•77
3-03
56
•66
68
3-09
82
•72
•76
4-12
57
•66
73
4-60
83
•73
•75
2-06
58
•67
69
2-62
84
•73
•75
3-14
59
•67
70
2-95
85
•73
•76
2-68
GO
•67
71
3-27
86
•73
•76
3-50
61
•68
71
2-87
87
•74
•77
2-91
62
•68
72
3-08
88
•74
•79
2-95
63
■68
71
3-37
89
•74
•78
3-00
64
•68
■73
3-37
90
•74
•80
3-68
65
•68
•75
4-13
91
•74
•76
3-77
66
•68
•74
4-57
92
•74
•78
4-00
67
•69
•70
1-01
93
•74
•80
4-12
68
■69
•70
2-68
94
•75
•78
2-37
69
•69
•75
2-59
95
•76
•79
4-93
70
•69
•72
2-78
96
•77
•81
4'05
Table III.
Measurements op Upper Drums within the Flutes
at the Bottom of each Deum.
Table II.
Measurements op Bottom Drums within the Flutes
taken at the top op each.
Diameter.
Length.
feet. feet.
1.
3-820 . . . 4-700
2.
3-820
4-370
3.
3-810
4-330
4.
3-810
3-870
5.
3-800
3-840
6.
3-800
3-820
7.
3-790
4-500
8.
3-790
4-320
9.
3-790
4-150
10.
3-790
4-100
11.
3-790
3100
12
3-785
4-990
13.
3-780
4-700
14.
3-780
4-100
15.
3-770
4-250
16.
3-760
4-180
17.
3-760
4-100
18.
3-755
4-875
19.
3-730
4-070
Mean diameter derived from the first fifteen, 3-795.
Full diameter above the apophysis being 4-230.
Derived diameter above the apophysis within flutes
3-826.
Mean length of drum, 4*209, of which the apophysis
occupies 0-65. It is assumed that the last four may belong
to the inner order.
Diameter.
feet.
3-350
3-330
3-330
3-300
3323
3-300
3-285
3-280
Lengtb.
feet.
1-920
2180
1-980
2*880
2-145
2-490
2-120
2-200
Mean diameter derived from the first six, 3-322.
Full diameter below apophyge being 3-600.
The derived diameter within the flutes below the
apophyge, 3'257.
The mean length of the drum is 2*268, of which the
apophyge occupies 0'70.
It is assumed that the last two drums may have belonged
to the inner order.
From the measurements above recorded I form eight
groups, namely:
Table IV.
A.
B.
C.
D.
E.
Numbers of
drums in each
group.
Diameters at top
bed of drums
within flutes.
Rate of diminu-
tion at the
mean point.
Diameter of
the shaft within
flutes at the
mean point.
Range on each side of
the mean point in
each group.
feet. feet.
feet.
1
Ten
377 to 3-74
i
89-CO
3-767
3-7905 to 3-7485
2
Twenty-two
3-74 to 3-70
1
3-730
3-7485 to 3-7115
7 9 ■ 2 O
3
Thirty-one
3-70 to 3-62
1
3-693
3-7115 to 3-6465
83-00
4
Twenty-five
3-62 to 355
1
7 4 • -2 O
3600
3-6465 to 3-5635
5
Eighteen
3-55 to 3-45
1
72.00
3-527
3-5635 to 3-4970
6
Eleven
3-48 to 3-40
1
05.3 1
3-467
3-4970 to 3-4180
7
Eight
3'40 to 3-32
1
53-95
3-369
3-4180 to 3-3465
8
Three
3'32 to 3-25
1
3-324
3-3465 to 3-3220
30-5O
In computing the column C of this table, the numerator
and denominator are respectively proportional to the sum
of the differences of diameter, divided by the sum of the
lengths ; and in forming column D weights are assigned to
the different drums in each group proportional to their
lengths, and placed as if acting at the mean diameter of
each drum, and the centre of gravity of the whole is then
taken for the general mean point.
Column E, which is derived from Column D, merely shows
the horizontal range of each group, and extends from the
top of the lowest drum, which contains the apophysis of
the base, to the bottom of the uppermost drum, which con-
tains the apophyge of the capital.
A small correction, however, has to be applied to the
column C of the table, as explained below, which leaves
the rates of diminution at the different points as follows:
Table V.
0. Horizontal range
Group 1 .
i
91-50
•0420
» 2 .
i
7S-72
•0370
,, 3 .
1
80-10
•0650
,, 4
1
72-83
•0830
„ 5
1
71-35
•0665
„ 6
1
64-26
•0790
•• 7 .
1
53-40
•0715
i. §
1
34-17
. -0245
This modification of the rates of diminution is based on
the following considerations. Firstly, the rates of diminu-
tion derived from the longer drums are entitled to some
preference over the shorter, if only that the probable errors
57
Table I.—continued.
Diameters within
the flutes.
Height of
drum.
Diameters within
the flutes.
Height of
drum.
Top.
Bottom.
Top.
Bottom.
45
feet.
3-61
f
3-
;et.
64
feet.
4'05
71
feet.
3-69
feet.
3-75
feet.
3-59
46
•62
63
2-19
72
•70
•70
1-38
47
•62
65
3-22
73
■70
•73
1-38
48
•63
66
2-45
74
•70
•73
3-43
49
■63
66
2-80
75
•70
•74
3-06
50
•64
69
2-61
76
•70
•73
3'84
51
•64
66
3-03
77
•71
•73
1-71
52
•64
76
4-35
78
•71
•78
3-01
53
•65
69
3-50
79
•71
•75
3-36
54
•66
67
1-84
80
•71
•80
4-50
55
•66
67
1-99
81
•72
•77
3-03
56
•66
68
3-09
82
•72
•76
4-12
57
•66
73
4-60
83
•73
•75
2-06
58
•67
69
2-62
84
•73
•75
3-14
59
•67
70
2-95
85
•73
•76
2-68
GO
•67
71
3-27
86
•73
•76
3-50
61
•68
71
2-87
87
•74
•77
2-91
62
•68
72
3-08
88
•74
•79
2-95
63
■68
71
3-37
89
•74
•78
3-00
64
•68
■73
3-37
90
•74
•80
3-68
65
•68
•75
4-13
91
•74
•76
3-77
66
•68
•74
4-57
92
•74
•78
4-00
67
•69
•70
1-01
93
•74
•80
4-12
68
■69
•70
2-68
94
•75
•78
2-37
69
•69
•75
2-59
95
•76
•79
4-93
70
•69
•72
2-78
96
•77
•81
4'05
Table III.
Measurements op Upper Drums within the Flutes
at the Bottom of each Deum.
Table II.
Measurements op Bottom Drums within the Flutes
taken at the top op each.
Diameter.
Length.
feet. feet.
1.
3-820 . . . 4-700
2.
3-820
4-370
3.
3-810
4-330
4.
3-810
3-870
5.
3-800
3-840
6.
3-800
3-820
7.
3-790
4-500
8.
3-790
4-320
9.
3-790
4-150
10.
3-790
4-100
11.
3-790
3100
12
3-785
4-990
13.
3-780
4-700
14.
3-780
4-100
15.
3-770
4-250
16.
3-760
4-180
17.
3-760
4-100
18.
3-755
4-875
19.
3-730
4-070
Mean diameter derived from the first fifteen, 3-795.
Full diameter above the apophysis being 4-230.
Derived diameter above the apophysis within flutes
3-826.
Mean length of drum, 4*209, of which the apophysis
occupies 0-65. It is assumed that the last four may belong
to the inner order.
Diameter.
feet.
3-350
3-330
3-330
3-300
3323
3-300
3-285
3-280
Lengtb.
feet.
1-920
2180
1-980
2*880
2-145
2-490
2-120
2-200
Mean diameter derived from the first six, 3-322.
Full diameter below apophyge being 3-600.
The derived diameter within the flutes below the
apophyge, 3'257.
The mean length of the drum is 2*268, of which the
apophyge occupies 0'70.
It is assumed that the last two drums may have belonged
to the inner order.
From the measurements above recorded I form eight
groups, namely:
Table IV.
A.
B.
C.
D.
E.
Numbers of
drums in each
group.
Diameters at top
bed of drums
within flutes.
Rate of diminu-
tion at the
mean point.
Diameter of
the shaft within
flutes at the
mean point.
Range on each side of
the mean point in
each group.
feet. feet.
feet.
1
Ten
377 to 3-74
i
89-CO
3-767
3-7905 to 3-7485
2
Twenty-two
3-74 to 3-70
1
3-730
3-7485 to 3-7115
7 9 ■ 2 O
3
Thirty-one
3-70 to 3-62
1
3-693
3-7115 to 3-6465
83-00
4
Twenty-five
3-62 to 355
1
7 4 • -2 O
3600
3-6465 to 3-5635
5
Eighteen
3-55 to 3-45
1
72.00
3-527
3-5635 to 3-4970
6
Eleven
3-48 to 3-40
1
05.3 1
3-467
3-4970 to 3-4180
7
Eight
3'40 to 3-32
1
53-95
3-369
3-4180 to 3-3465
8
Three
3'32 to 3-25
1
3-324
3-3465 to 3-3220
30-5O
In computing the column C of this table, the numerator
and denominator are respectively proportional to the sum
of the differences of diameter, divided by the sum of the
lengths ; and in forming column D weights are assigned to
the different drums in each group proportional to their
lengths, and placed as if acting at the mean diameter of
each drum, and the centre of gravity of the whole is then
taken for the general mean point.
Column E, which is derived from Column D, merely shows
the horizontal range of each group, and extends from the
top of the lowest drum, which contains the apophysis of
the base, to the bottom of the uppermost drum, which con-
tains the apophyge of the capital.
A small correction, however, has to be applied to the
column C of the table, as explained below, which leaves
the rates of diminution at the different points as follows:
Table V.
0. Horizontal range
Group 1 .
i
91-50
•0420
» 2 .
i
7S-72
•0370
,, 3 .
1
80-10
•0650
,, 4
1
72-83
•0830
„ 5
1
71-35
•0665
„ 6
1
64-26
•0790
•• 7 .
1
53-40
•0715
i. §
1
34-17
. -0245
This modification of the rates of diminution is based on
the following considerations. Firstly, the rates of diminu-
tion derived from the longer drums are entitled to some
preference over the shorter, if only that the probable errors