[Note - This description refers to Mathers' version, rather than the Waite version, of the text.]

The Goetia: The Lesser Key of Solomon the King, Book one of the Lemegeton, supposedly contains the first of five writings by the legendary king Solomon, son of David. A number of ancient sources, including both the Bible and Josephus' Antiquities, claim Solomon as a wiseman and as a magician. His connection with the Goetia, however, lacks such external confirmation. Most likely an unknown author penned it in the early Renaissance, naming it for its content (the 72 spirits Solomon supposedly summoned) rather than intending to claim Solomon as the true author.

The currently available version of this text claims S.L. MacGregor Mathers, of Golden Dawn fame, as its "translator". This attribution somewhat overstates Mathers' actual contribution (which applies to Waite's claim as well, considering they had access to the same source materials), as he merely modernized a text already written (though possibly previously translated) in an archaic English.

The heart of this book, the Shemhamphorash, describes the attributes, sigils, and means of evoking the 72 spirits known to and controlled by Solomon. Many entries also include an illustration of the spirit they describe.

A quick list of the 72 spirits:
BAEL, AGARES, VASSAGO, SAMIGINA or GAMIGIN, MARBAS, VALEFOR, AMON, BARBATOS, PAIMON, BUER, GUSION, SITRI, BELETH, LERAJE or LERAIKHA, ELIGOS, ZEPAR, BOTIS, BATHIN, SALLOS, PURSON, MARAX, IPOS, AIM, NABERIUS, GLASYA-LABOLAS, BUNE or BIME, RONOVE, BERITH, ASTAROTH, FORNEUS, FORAS, ASMODAY, GAAP, FURFUR, MARCHOSIAS, STOLAS or STOLOS, PHENEX or PHEYNIX, HALPHAS or MALTHUS, MALPHAS, RAUM, FOCALOR, VEPAR, SABNOCK, SHAX, VINE, BIFRONS, UVALL or VUAL or VOVAL, HAAGENTI, CROCELL, FURCAS, BALAM, ALLOCES, CAMIO or CAIM, MURMUR or MURMUS, OROBAS, GREMORY or GAMORI, OSE or VOSO, AMY or AVNAS, ORIAX or ORIAS, VAPULA or NAPHULA, ZAGAN, VOLAC or VALAK or VALU or UALAC, ANDRAS, HAURES or HAURAS or HAVRES or FLAUROS, ANDREALPHUS, CIMEJES or CIMEIES or KIMARIS, AMDUSIAS or AMDUKIAS, BELIAL, DECARABIA, SEERE or SEAR or SEIR, DANTALION, ANDROMALIUS
To the well-read student of the mythology, many of the above will sound familiar. Many, such as Asmoday, Belial, and Paimon, come straight from the standard lists of demons. Some, such as Amon, stood as deities in their own right from nearly-forgotten religions. Still others, such as the Pheynix, we recognize as "mere" mythological beasts.

Overall, while The Goetia most likely will not help the reader accomplish its stated goal (the evocation of the above-mentioned spirits for the purpose of carrying out one's requests), it contains a valuable summary of the implements, spirits, and means used in the art popularly known as "demonology".