The idea of this page is to survey the availability of the editions of 'The principle navigations, ...' of Richard Hakluyt. The problem is that even if they are 'availale' on the net it is hard to sort out.

Editions

hakluyt-divers
Divers Voyages, 1582
Divers Voyages Touching upon the Discoverie of America (London: Thomas Woodcocke, 1582), small quarto. The Divers Voyages is made up of three sections. Some copies (e.g. that in the National Library of Scotland) lack one or more of these sections, which were perhaps intended originally as separate tracts.

hakluyt-principall
Principall Navigations, 1589
The Principall Navigations, Voiages and Discoveries of the English Nation (London: George Bishop and Ralph Newberie, 1589), folio.

Two alterations were made in the course of the printing and publication of this, the original edition of the Principall Navigations.

 At the last minute a narrative of Drake's circumnavigation was printed on six unpaginated leaves for insertion between p. 643 and p. 644. Headed 'The famous voyage of Sir Francis Drake ...., and usually referred to as the 'Drake leaves', this exists in the majority of surviving copies of the Principall Navigations. Those without the Drake leaves had presumably been issued before these leaves had been printed.

The other alteration, which seems to have occurred after the widespread distribution of the book had begun, was to the account of Sir Jerome Bowes's embassy to Russia. The original version was cancelled and replaced by a shorter, more discreet version of events, probably at the instigation of the Muscovy Company, or the Queen's minister, Sir Francis Walsingham, or both. The section with this account, which is usually referred to as the 'Bowes leaves', exists, therefore, in two distinct states: the original headed 'The ambassage of Sir Hierome Bowes to the Emperour of Moscovie' and paginated 491-505; and the replacement, headed 'A briefe discourse of the voyage of Sir Jerome Bowes . . . printed this second time' and paginated 491-501. Either state can be found in surviving copies of the Principall Navigations.

hakluyt-principal
Principal Navigations, 1598-1600

The Principal Navigations, Voiages, Traffiques and Discoveries of the English Nation, 3 volumes (London: George Bishop, Ralph Newberie and Robert Barker, 1598/99.1600)

This, the second edition, much enlarged, of the Principal Navigations, has an equally involved printing and publication history.

The title-page of the first volume (1598) promises an account of Essex's 'famous victorie' at Cadiz in 1596, which duly appears at the end of that volume (pp. 607-619). It is usually referred to as the 'Cadiz leaves'.

Within a year of the first volume's publication, the Cadiz leaves were withdrawn, the title-page was reprinted without mention of Essex or Cadiz, and its publication date changed to 1599. This alteration might have been made at the government's behest, owing to Essex's declining influence at Court and the political controversy surrounding him and the Cadiz venture, or by Hakluyt himself, when he decided to dedicate the second and third volumes to the Queen's chief minister, Sir Robert Cecil, Essex's rival and an advocate of negotiating peace with Spain. Whatever the exact explanation of this censorship, a large number of copies survive intact with the original Cadiz leaves, and those that lack the originals have often had them supplied in reprints produced circa 1720 (paginated 607-620) and circa 1795 (paginated 607-'417') or in later facsimiles of the original printing. Lastly, it is not unusual for the first two volumes to be bound together and the third to be bound separately, forming a two-volume set.


The Voyages of The English Nation to America before the year 1600 from Hakluyt's Collection of Voyages (1598-1600)
Edited By Edmund Goldsmid F.R.H.S., F.S.A (Scot.)
Sdinburgh E & G Goldsmid
1889
Vol. 1. Voyage of Sebastian Cabota
        Voyages of Master Frobisher
        Voyages of John Davis
        Voyages of Nicolas and Anthony Zeno to the Yles of Frisland
        Voyage of Sir Humphrey Gilbert to Newfoundland, 1583
Vol. 2. Sir George Peckham's report
        Discourse upon the intended voyage by Capt. Carlile
        Voyage of Charles Leigh
        Voyages of Jacques Cartier
        Discourse of western planting by R. Hakluyt
        Voyages to Virginia by order of Sir Walter Raleigh
        Report of the new found land of Virginia by Thomas Heriot
        Relation of John de Verrazano
        Voyages to Florida of Ren Landonniere, John Ribault and Capt. Gourgues
        Description of Florida by Ferd. de Soto
Vol. 3. Soto's Description of Florida (contd.)
        Voyages to the 15 provinces of New Mexico and Quivira and Cibola
        Voyages to Mexico and New Spain by English men
        Voyages to Brazil
        Two voyages to the River Plate
        Discovery of the Gulf of California
Vol. 4. Navigation and discovery of Guiana by Sir Walter Raleigh
        Principal voyages of the English nation 
         to the isles of Trinadad, Margarita etc
Roberts 
 Vol 1 https://archive.org/stream/voyagesofenglish01hakluoft#page/n8/mode/1up
 Vol 4 https://archive.org/stream/voyagesofenglish04hakluoft#page/n9/mode/1up