Combination leads, clumps, and metal furniture

The following table shows the combinations that can be formed by leads or clumps of six lengths only, not more than three pieces being required at the same time. Indeed, only two pieces are used in eighteen of the thirty-eight examples given.

Length in ems of the pieces employed:—

4   7   9   13   15   20.

• 4, 4 = 8
• 7, 4 = 11
• 4, 4 ,4 = 12
• 7, 7 = 14
• 9, 7 = 16
• 13, 4 = 17
• 9, 9 = 18
• 15, 4 = 19
• 7, 7, 7 = 21
• 15, 7 = 22
• 15, 4, 4 = 23
• 20, 4 = 24
• 9, 9, 7 = 25
• 13, 13 = 26
• 20, 7 = 27
• 15, 13 = 28
• 20, 9 = 29
• 15, 15 = 30
• 20, 7, 4 = 31
• 15, 13, 4 = 32
• 20, 13 = 33
• 15, 15, 4 = 34
• 20, 15 = 35
• 20, 9, 7 = 36
• 15, 15, 7 = 37
• 20, 9, 9 = 38
• 15, 15, 9 = 39
• 20, 20 = 40
• 15, 13, 13 = 41
• 20, 15, 7 = 42
• 15, 15, 13 = 43
• 20, 20, 4 = 44
• 15, 15, 15 = 45
• 20, 13, 13 = 46
• 20, 20, 7 = 47
• 20, 15, 13 = 48
• 20, 20, 9 = 49
• 20, 15, 15 = 50

The printer has also at his command the six single pieces used, viz.: 4, 7, 9, 13, 15, and 20 ems. By using four, five, or six pieces together, the above combinations may be extended consecutively to one hundred ems.