Historical Identification: Per Dreyer, IC 1700 (Javelle #879, 1860 RA 01 18 00, NPD 75 51.6) is "pretty bright, small, round, gradually brighter middle and nucleus." The position precesses to RA 01 25 27.2, Dec +14 52 14, about 0.7 arcmin northeast of the center of the galaxy listed above, the description fits, and the other galaxy in the region is accounted for by Javelle's discovery (on the same night) of IC 1698, which has a similar offset in its position, so the identification is certain.
Identification With IC 107: See IC 107 for a discussion of its identification as an earlier observation of IC 1700. Note that PGC 5250 is usually misidentified as IC 107, the correct IC 107 is therefore often listed only as IC 1700, and a search for IC 107 will usually end up with the wrong galaxy.
Physical Information: Given the duplicate entry, see IC 107 for anything else.

Historical Identification: Per Dreyer, IC 1701 (Javelle #880, 1860 RA 01 18 19, NPD 72 32.0) is "faint, small, diffuse, nucleus 13th magnitude."
Physical Information: Apparent size 1.2 by 1.0 arcmin?

Historical Identification: Per Dreyer, IC 1702 (Swift list XI (#20), 1860 RA 01 18 22, NPD 74 07.9) is "most extremely faint, pretty small, a little extended, very difficult, between 2 stars north-south."
Physical Information: Apparent size 1.2 by 1.0 arcmin?

Historical Identification: Per Dreyer, IC 1703 (Bigourdan #369, 1860 RA 01 19 18, NPD 92 23) is "extremely faint, small, diffuse."
Physical Information: Given the duplicate entry, see NGC 557 for anything else.

Historical Identification: Per Dreyer. IC 1704 (Javelle #881, 1860 RA 01 19 26, NPD 76 00.6) is "pretty bright, pretty small, diffuse, irregular figure, gradually a very little brighter middle." (See IC 1706 for the solution of a problem with Javelle's positions for IC 1704 and 1706.)
Physical Information: Apparent size 1.1 by 0.8 arcmin?

Historical Identification: Per Dreyer, IC 1705 (Howe list I (#4), 1860 RA 01 19 39, NPD 94 13.8) is "a nebulous star of magnitude 12, faint double star 2 arcmin north-following (to the northeast)."
Physical Information: Apparent size 0.9 by 0.7 arcmin?

Historical Identification: Per Dreyer, IC 1706 (Javelle #882, 1860 RA 01 19 48, NPD 75 58.0) is "faint, small, diffuse, very little brighter middle." The position precesses to RA 01 27 15.4, Dec +14 45 42, to the southeast of IC 1704(!), which lies about 5 arcmin to the southwest of the galaxy listed above. However, there is a problem with this position and the one that Javelle measured for IC 1704 on the same night. Namely, the relative positions of the two objects are accurate, but they are both well to the southwest of where the galaxies lie. Per Corwin, the problem is that Javelle misidentified his comparison star (he thought it was BD +13 214, but it was actually an unlisted star about 5 arcmin to the northeast). Correcting for that mistake, the positions for Javelle #881 and #882 become essentially dead-on the respective galaxies, and since the description also fits, IC 1706 must be the galaxy listed above.
Physical Information: Based on a recessional velocity relative to the Cosmic Microwave Background radiation of 6190 km/sec (and H₀ = 70 km/sec/Mpc), IC 1706 is about 285 to 290 million light-years away. Given that and its apparent size of about 0.41 by 0.38 arcmin (from the images below), the galaxy is about 35 thousand light-years across. The galaxy has a single 'heavy' arm that wraps almost all the way round the galaxy, creating a nearly complete ring (whence the classification shown in the description line; thanks are due to Harold Corwin for slightly revising my educated guess).

Historical Identification: Per Dreyer, IC 1707 (Bigourda #370, 1860 RA 01 20 56, NPD 57 08) is "extremely faint, diffuse, 13.3 magnitude star close."
Note About PGC Designation: Since this object is lost or nonexistent, a search of LEDA for IC 1707 returns no result, and says so.
Physical Information:

Historical Identification: Per Dreyer. IC 1708 (DeLisle Stewart #152, 1860 RA 01 21 00, NPD 161 55) is "very faint, very small, round, 9th magnitude star 4 arcmin south-following (to the southeast)."
Physical Information:

Historical Identification: Per Dreyer, IC 1709 (Swift list XI (#21), 1860 RA 01 21 46, NPD 126 29.5) is "extremely faint, pretty small, round, very difficult."
Note About The PGC Mis-designation: A search of LEDA for IC 1709 returns PGC 5483, which is almost certainly the wrong identification, but because of that misidentification, is discussed in the following entry. For the correct IC 1709, search LEDA for NGC 568.
Physical Information: Given the duplicate entry, see NGC 568 for anything else. (Corwin lists a possible companion (PGC 5483, which appears to be misidentified as IC 1709) at RA 01 28 13.1, Dec -35 40 08, but that is also discussed on the other page.)

Historical Misidentification:
Physical Information:

Historical Identification: Per Dreyer. IC 1710 (Javelle #883, 1860 RA 01 23 10, NPD 69 17.1) is "faint, pretty large, diffuse. 13.5 magnitude star attached."
Physical Information: Given the duplicate entry, see NGC 575 for anything else.

Historical Identification: Per Dreyer, IC 1711 (Javelle #884, 1860 RA 01 23 24, NPD 73 31.7) is "faint, pretty large, extended 260°, gradually brighter middle."
Physical Information: Apparent size 2.6 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1712 (Barnard, (Swift list III #6), 1860 RA 01 24 20, NPD 97 35.4) has "no description."
Discovery Note: Per Steinicke, Swift observed this object as shown above, and added to the IC description in parentheses, but apparently Dreyer missed it.
Physical Information: Given the duplicate entry, see NGC 584 for anything else.

Historical Identification: Per Dreyer, IC 1713 (Bigourdan #247, 1860 RA 01 24 43, NPD 55 24) is "a 13th magnitude star, nebulous?"
Note About PGC Misidentification: A search of LEDA for IC 1713 returns an entry for NGC 587, which is certainly wrong. As a result, there is no actual PGC designation for IC 1713. (A search of NED returns the correct object, but since NED does not bother with stellar objects, there is no information given there except the statement that IC 1713 is a star.)
Physical Information:

Historical Identification: Per Dreyer, IC 1714 (Swift list XII (#7), 1860 RA 01 26 02, NPD 104 13.2) is "most extremely faint, small, a little extended, very diffuse. 8th magnitude star to north."
Note About PGC Designation: A search of LEDA for IC 1714 returns a message stating that there is no such object. However, a search for PGC 944130 does show the object that is shown as IC 1714 in the title for this entry.
Physical Information: Apparent size 0.5 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1715 (Javelle #885, 1860 RA 01 26 12, NPD 78 08.2) is "faint, small, round, nuclear, mottled but not resolved."
Physical Information: Apparent size 0.7 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1716 (Bigourdan #371, 1860 RA 01 26 33, NPD 103 02) is "extremely faint, mottled but not resolved, nebulous?"
Note About PGC Designation: A search of LEDA for IC 1716 returns a message stating that there is no such object; so there is no PGC designation for IC 1716.
Physical Information:

Historical Identification: Per Dreyer, IC 1717 (DeLisle Stewart #153, 1860 RA 01 28 18, NPD 158 15) is "extremely faint, extremely small, much extended 25°, stellar nucleus."
Note About PGC Designation: A search of LEDA for IC 1717 returns a message stating that there is no such object, which is reasonable, since it appears to be either lost or nonexistent (Steinicke suggests that it was a plate defect, in which case it is nonexistent).

Historical Identification: Per Dreyer, IC 1718 (Javelle #886, 1860 RA 01 30 28, NPD 57 22.1) is "faint, very small, pretty round, 13.5 magnitude star attached."
Physical Information: Apparent size 0.6 by 0.3 arcmin?

Historical Identification: Per Dreyer, IC 1719 (Swift list XI (#22), 1860 RA 01 31 22, NPD 124 42.0) is "very faint, small, round, considerably faint star near north-following (to the northeast)."
Physical Information: Apparent size 1.6 by 1.2 arcmin?

Historical Identification: Per Dreyer, IC 1720 (Swift list XI (#23), 1860 RA 01 33 38, NPD 119 38.6) is "extremely faint, extremely small, round, bright star preceding (to the west)."
Physical Information: Apparent size 1.5 by 1.1 arcmin?

Historical Identification: Per Dreyer. IC 1721 (Javelle #887, 1860 RA 01 34 03, NPD 82 10.9) is "pretty bright, pretty small, extended preceding-following (west-east), gradually brighter middle, mottled but not resolved."
Physical Information: Apparent size 1.0 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1722 (DeLisle Stewart #154, 1860 RA 01 36 36, NPD 124 54) is "faint, small, considerably extended 45°."
Physical Information: Apparent size 1.5 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1723 (Javelle #888, 1860 RA 01 36 51, NPD 81 54.4) is "faint, pretty large, extended 200°, gradually a little brighter middle."
Physical Information: Apparent size 3.3 by 0.8 arcmin?

Historical Identification: Per Dreyer, IC 1724 (DeLisle Stewart #155, 1860 RA 01 36 54, NPD 124 55) is "faint, small, considerably extended 175°."
Physical Information: Apparent size 1.3 by 0.5 arcmin?

Physical Information:

Historical Identification: Per Dreyer, IC 1725 (Javelle #889, 1860 RA 01 37 29, NPD 68 54.9) is "faint, small, pretty round, diffuse."
Physical Information: Apparent size 0.3 by 0.3 arcmin?

Historical Identification: Per Dreyer, IC 1726 (Javelle #890, 1860 RA 01 38 03, NPD 86 05.1) is "faint, very small, gradually brighter middle, 13.5 magnitude star close." The position precesses to RA 01 45 19.3, Dec +04 37 09, less than 0.1 arcmin northwest of the center of the galaxy listed above and on its northwestern rim, the description fits and there is nothing else nearby, so the identification is certain.
Physical Information: Based on a recessional velocity relative to the Cosmic Microwave Background radiation of 5040 km/sec (and H₀ = 70 km/sec/Mpc), IC 1726 is about 235 million light-years away. Given that and its apparent size of about 0.32 by 0.28 arcmin (from the images below), the galaxy is a little over 20 thousand light-years across. Usually, such a small galaxy would be more irregular than not, so its complex structure is very unusual.
Note About Classification: On DSS images this is just a small blob, so it is usually listed as "compact" or even "extremely compact"; but in SDSS images it is obviously a peculiar spiral ("peculiar" partly due to its unusual structure and partly due to the blue region southwest of the nucleus (which, due to lack of study, has no explanation). Thanks to Harold Corwin for slightly revising the guesstimate I sent him, and providing the classification (R':)SAB(s)b: pec (I left out the colons simply because I don't include them in classifications for other galaxies, and didn't want this to be the only one in this catalog to include them).

Historical Identification: Per Dreyer, IC 1727 (Roberts, 1860 RA 01 39 39, NPD 63 22.3) is "faint, large, star involved. I 157 north-following (to the northeast)," WH I 157 being NGC 672.
Physical Information: Apparent size 5.7 by 2.4 arcmin? Several 'knots' have positions given by Corwin.

Historical Identification: Per Dreyer, IC 1728 (DeLisle Stewart #156, 1860 RA 01 41 25, NPD 124 18) is "faint, small, extended 160°, much brighter middle."
Physical Information: Apparent size 1.3 by 0.8 arcmin?

Historical Identification: Per Dreyer, IC 1729 (Swift list XI (#24), Howe, 1860 RA 01 41 28, NPD 117 35.4) is "pretty bright, extremely small; almost stellar, partially resolved (some stars seen)?"
Physical Information: Apparent size 1.6 by 0.9 arcmin?

Historical Identification: Per Dreyer, IC 1730 (Javelle #891, 1860 RA 01 42 12, NPD 68 43.2) is "faint, small, round, gradually brighter middle."
Physical Information: Apparent size 0.8 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1731 (Roberts, 1860 RA 01 42 19, NPD 63 29.7) is "faint, extended north-preceding south-following (northwest-southeast), brighter middle, probably spiral."
Physical Information: Apparent size 1.5 by 1.0 arcmin?

Historical Identification: Per Dreyer, IC 1732 (Bigourdan #248, 1860 RA 01 42 39, NPD 54 46) is "very faint, pretty small, much brighter middle, extremely faint star involved?"
Physical Information: Apparent size 1.5 by 0.4 arcmin?

Historical Identification: Per Dreyer, IC 1733 (Javelle #892, 1860 RA 01 42 40, NPD 57 36.2) is "faint, very small, pretty round, mottled but not resolved."
Physical Information: Apparent size 1.2 by 1.0 arcmin?

Historical Identification: Per Dreyer, IC 1734 (Swift list XI (#25), DeLisle Stewart, 1860 RA 01 42 45, NPD 123 27.3) is "very faint, pretty small, a little extended 100°, brighter middle."
Physical Information: Apparent size 1.6 by 1.4 arcmin?

Historical Identification: Per Dreyer, IC 1735 (Javelle #893, 1860 RA 01 42 48, NPD 57 35.6) is "very faint, very small, mottled but not resolved."
Physical Information: Apparent size 0.5 by 0.3 arcmin?

Historical Identification: Per Dreyer, IC 1736 ( Javelle #894, 1860 RA 01 43 17, NPD 72 24.2) is "faint, pretty small, extended 210°, gradually a little brighter middle."
Physical Information: Apparent size 1.1 by 0.4 arcmin?

Historical Identification: Per Dreyer, IC 1737 (Bigourdan #249, 1860 RA 01 43 29, NPD 54 27) is "extremely faint, 3 or 4 very faint stars in nebula."
Note About PGC Designation: A search of LEDA for IC 1737 returns no result, and says so; so there is no PGC designation for IC 1737.
Physical Information: (Separated by about 30 arcsec?)

Historical Identification: Per Dreyer, IC 1738 (Swift list XI (#26), Howe, 1860 RA 01 44 13, NPD 100 29.2) is "extremely faint, very small, I 62 preceding (to the west)," WH I 62 being NGC 701.
Physical Information: Apparent size 0.9 by 0.7 arcmin?

Historical Identification: Per Dreyer. IC 1739 (DeLisle Stewart #157, 1860 RA 01 44 14, NPD 124 45) is "considerably faint, considerably small, round, much brighter middle."
Physical Information: Apparent size 0.8 by 0.5 arcmin?

Physical Information:

Historical Identification: Per Dreyer, IC 1740 (Swift list XI (#27), 1860 RA 01 44 56, NPD 120 38.3) is "pretty bright, extremely small, a little extended, like a double star."
Note About PGC Designation: A search of LEDA for IC 1740 returns no result, and says so; so there is no PGC designation for IC 1740.
Physical Information:

Historical Identification: Per Dreyer, IC 1741 (Howe list III (#4), 1860 RA 01 45 12, NPD 107 28.8) is "extremely faint, extremely faint, = 690?" 690 referring to NGC 690, which is actually well to the west of IC 1741.
Physical Information: Apparent size 0.8 by 0.4 arcmin?

Historical Identification: Per Dreyer, IC 1742 (Javelle #895, 1860 RA 01 45 28, NPD 67 58.5) is "faint, small, a little extended preceding-following (west-east), gradually a little brighter middle."
Physical Information: Apparent size 0.8 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1743 (Bigourdan #250, 1860 RA 01 45 32, NPD 77 59) is "very faint, pretty small, a little brighter middle, diffuse, = 716?" 716 being NGC 716, which is indeed the same galaxy.
Physical Information: Given the duplicate entry, see NGC 716 for anything else.

Historical Identification: Per Dreyer, IC 1744 (Javelle #896, 1860 RA 01 45 58, NPD 70 50.4) is "faint, small, round, gradually a little brighter middle."
Physical Information: Given the duplicate entry, see NGC 719 for anything else.

Historical Identification: Per Dreyer, IC 1745 (Howe list III (#5), 1860 RA 01 46 15, NPD 107 21.6) is "extremely faint, extremely small."
Physical Information: Apparent size 0.5 by 0.3 arcmin?

Historical Identification: Per Dreyer, IC 1746 (Javelle #897, 1860 RA 01 47 07, NPD 85 53.1) is "faint, small, pretty round, gradually brighter middle."
Physical Information: Apparent size 1.4 by 0.5 arcmin?

Historical Identification: Per Dreyer, IC 1747 (Fleming #103, 1860 RA 01 47 22, NPD 27 23) is "planetary, stellar."
Note About PGC Designation: For purposes of completeness, LEDA assigns PGC designations to many NGC/IC objects that aren't galaxies; but as in most such cases, a search of the database for the designation shown above returns no result, so it is shown in quotes.
Physical Information: Apparent size 0.32 arcmin?

Historical Identification: Per Dreyer, IC 1748 (Palisa ([AN] 3634 (#1)), 1860 RA 01 48 32, NPD 73 02.8) is "very faint."
Physical Information: Apparent size 1.0 by 0.7 arcmin?

Historical Identification: Per Dreyer, IC 1749 (Javelle #898, 1860 RA 01 48 50, NPD 83 56.7) is "faint, small, extended north-south, binuclear, mottled but not resolved."
Physical Information: Apparent size 0.9 by 0.7 arcmin?