Table of Cubic Roots, following one another in order from unity, with the first Cube of parts positioned

1,000,000.

Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root
1	100	26	296	51	371	76	424
2	125	27	300	52	373	77	425
3	144	28	304	53	376	78	427
4	159	29	307	54	378	79	429
5	171	30	311	55	380	80	431
6	182	31	314	56	382	81	433
7	191	32	317	57	385	82	434
8	200	33	321	58	387	83	436
9	208	34	324	59	389	84	438
10	215	35	327	60	391	85	440
11	222	36	330	61	394	86	441
12	229	37	333	62	396	87	443
13	235	38	336	63	398	88	445
14	241	39	339	64	400	89	446
15	247	40	342	65	402	90	448
16	252	41	345	66	404	91	450
17	257	42	348	67	406	92	451
18	262	43	350	68	408	93	453
19	267	44	353	69	410	94	455
20	271	45	356	70	412	95	456
21	276	46	358	71	414	96	458
22	280	47	361	72	416	97	459
23	284	48	363	73	418	98	461
24	288	49	366	74	420	99	463
25	292	50	368	75	422	100	464

CHAPTER II.

On the Geometric Method of making a Caliber Rule.

A large decorative initial 'H' begins the text.
Above all, let the side of the first Cube be obtained, or the diameter of a 1 lb. globe made of that metal for which you desire to construct this Rule. This is done, for example, in Figure No. 4, line A B, the diameter of a 1 lb. iron globe. Therefore, intending to find the side of a doubled cube, or the diameter of a 2 lb. globe, double the line A B, or set it twice; that is done here as A D. Then, between the single line A B and the doubled line A D, seek two mean proportionals; one of them, the lesser mean proportional found, namely D E, will be the side of the doubled cube, or the diameter of a 2 lb. iron globe. One must proceed in this way when seeking the diameters of other following globes: as much as the first globe is to be increased, by so much its diameter is to be increased, and two mean proportionals are to be sought between those values.

Experts in geometry say that to this day, no one has truly and geometrically performed this invention of two mean proportionals between two other proposed quantities, although many have labored in this work even to the point of nausea, but with vain effort. The thing, indeed, appears most difficult to discover...

Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root
1	100	26	296	51	371	76	424
2	125	27	300	52	373	77	425
3	144	28	304	53	376	78	427
4	159	29	307	54	378	79	429
5	171	30	311	55	380	80	431
6	182	31	314	56	382	81	433
7	191	32	317	57	385	82	434
8	200	33	321	58	387	83	436
9	208	34	324	59	389	84	438
10	215	35	327	60	391	85	440
11	222	36	330	61	394	86	441
12	229	37	333	62	396	87	443
13	235	38	336	63	398	88	445
14	241	39	339	64	400	89	446
15	247	40	342	65	402	90	448
16	252	41	345	66	404	91	450
17	257	42	348	67	406	92	451
18	262	43	350	68	408	93	453
19	267	44	353	69	410	94	455
20	271	45	356	70	412	95	456
21	276	46	358	71	414	96	458
22	280	47	361	72	416	97	459
23	284	48	363	73	418	98	461
24	288	49	366	74	420	99	463
25	292	50	368	75	422	100	464

Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root
1	100	26	296	51	371	76	424
2	125	27	300	52	373	77	425
3	144	28	304	53	376	78	427
4	159	29	307	54	378	79	429
5	171	30	311	55	380	80	431
6	182	31	314	56	382	81	433
7	191	32	317	57	385	82	434
8	200	33	321	58	387	83	436
9	208	34	324	59	389	84	438
10	215	35	327	60	391	85	440
11	222	36	330	61	394	86	441
12	229	37	333	62	396	87	443
13	235	38	336	63	398	88	445
14	241	39	339	64	400	89	446
15	247	40	342	65	402	90	448
16	252	41	345	66	404	91	450
17	257	42	348	67	406	92	451
18	262	43	350	68	408	93	453
19	267	44	353	69	410	94	455
20	271	45	356	70	412	95	456
21	276	46	358	71	414	96	458
22	280	47	361	72	416	97	459
23	284	48	363	73	418	98	461
24	288	49	366	74	420	99	463
25	292	50	368	75	422	100	464

Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root	Cubic Or.	Root
1	100	26	296	51	371	76	424
2	125	27	300	52	373	77	425
3	144	28	304	53	376	78	427
4	159	29	307	54	378	79	429
5	171	30	311	55	380	80	431
6	182	31	314	56	382	81	433
7	191	32	317	57	385	82	434
8	200	33	321	58	387	83	436
9	208	34	324	59	389	84	438
10	215	35	327	60	391	85	440
11	222	36	330	61	394	86	441
12	229	37	333	62	396	87	443
13	235	38	336	63	398	88	445
14	241	39	339	64	400	89	446
15	247	40	342	65	402	90	448
16	252	41	345	66	404	91	450
17	257	42	348	67	406	92	451
18	262	43	350	68	408	93	453
19	267	44	353	69	410	94	455
20	271	45	356	70	412	95	456
21	276	46	358	71	414	96	458
22	280	47	361	72	416	97	459
23	284	48	363	73	418	98	461
24	288	49	366	74	420	99	463
25	292	50	368	75	422	100	464