Question: Are Alangium and Howea both examples of a genus of palms?

Context paragraphs:
Brahea: Brahea is a genus of palms in the Arecaceae family.  They are commonly referred to as Hesper Palms and are endemic to Mexico and Central America.  All Hesper Palms have large, fan-shaped leaves.

Roystonea: Roystonea is a genus of eleven species of monoecious palms, native to the Caribbean Islands, and the adjacent coasts of Florida and Central and northern South America.  Commonly known as the royal palms, the genus was named for Roy Stone, a U.S. Army engineer.  It contains some of the most recognizable and commonly cultivated palms in tropical and subtropical regions.

Borassus: Borassus (Palmyra palm) is a genus of five species of fan palms, native to tropical regions of Africa, Asia and New Guinea.  These massive palms can grow up to 30 m high and have robust trunks with distinct leaf scars; in some species the trunk develops a distinct swelling just below the crown, though for unknown reasons.  The leaves are fan-shaped, 2–3 m long and with spines along the petiole margins (no spines in "B. heineanus").  The leaf sheath has a distinct cleft at its base, through which the inflorescences appear; old leaf sheaths are retained on the trunk, but fall away with time.  All "Borassus" palms are dioecious, with male and female flowers on separate plants; male flowers are less than 1 cm long and in semi-circular clusters, sandwiched between leathery bracts in pendulous catkins; female flowers are 3–5 cm wide, globe-shaped and solitary, sitting directly on the surface of the inflorescence axis.  The fruits are 15–25 cm wide, roughly spherical and each contain 1-3 large seeds.  Depending on species, fruit color varies from black to brown, yellow or orange; the fibrous pulp is aromatic and sweet to taste.  Each seed is enclosed in a woody endocarp, which protects it when the fruit is consumed by elephants, monkeys and other frugivores.  At germination, the young seedling extends downwards into the soil and only a few leaves are visible above ground; this provides some protection against frequent fires in its savanna habitat; after an indeterminate number of years (the establishment phase), the seedling forms a stem and quickly grows above the savanna vegetation, where it is then less vulnerable to fire.

Alangium: Alangium is a small genus of flowering plants.  The genus is included either in a broad view of the dogwood family Cornaceae, or as the sole member of its own family Alangiaceae.  "Alangium" has about 40 species, but some of the species boundaries are not entirely clear.  The type species for "Alangium" is "Alangium decapetalum", which is now treated as a subspecies of "Alangium salviifolium".  All of the species are shrubs or small trees, except the liana "Alangium kwangsiense".  "A. chinense, A. platanifolium", and "A. salviifolium" are known in cultivation.

Arenga: Arenga is a genus of palms, native to Southeast Asia, southern China, New Guinea, and northern Australia.  They are small to medium-sized palms, growing to 2–20 m tall, with pinnate leaves 2–12 m long.  Arenga palms can grow in areas with little sunlight and relatively infertile soil.

Copernicia: Copernicia is a genus of palms, native to South America and the Greater Antilles.  Of the known species and nothospecies (hybrids), 22 of the 27 are endemic to Cuba.  They are fan palms (Arecaceae tribe Corypheae), with the leaves with a bare petiole terminating in a rounded fan of numerous leaflets.  The species are small to medium-sized trees growing to 5-30 m tall, typically occurring close to streams and rivers in savanna habitats.Govaerts, R. & Dransfield, J. (2005).  World Checklist of Palms: 1-223.  The Board of Trustees of the Royal Botanic Gardens, Kew.

Howea: Howea is a genus of two palms, "H. belmoreana" and "H. forsteriana", both endemic to Lord Howe Island, Australia.  "H. forsteriana" in particular is commonly grown as an indoor plant in the Northern Hemisphere, and the two species form the mainstay of the island's palm seed industry and more importantly its trade in newly germinated seedlings.  The palms are also cultivated on Norfolk Island, where seeds are produced for export.

Climbing palm: Climbing palms are genera in the family Arecaceae that grow as lianas. "Initially erect, the slender stems seek out trees for support and climb up into the forest canopy by means of recurved hooks and spines growing on the stem, leaves and inflorescences.  In all climbing palms the leaves are pinnate and grow along the stem instead of forming a dense crown.  The stems of climbing palms, more often referred to as canes, are solid in contrast to bamboo poles which are almost always hollow."  "The majority of climbing palms are also clumping palms <nowiki>[and sympodial]</nowiki>, sending out new shoots from <nowiki>[below ground as suckers]</nowiki>."  "About 600 species of palms in <nowiki>[16]</nowiki> genera have a climbing growth habit.  Most noteworthy is the genus "Calamus"--the largest genus in the palm family with approximately 350 described species--source of nearly all commercial rattan."

Phytelephas: Phytelephas is a genus containing six known species of palms (family Arecaceae), occurring from southern Panama along the Andes to Ecuador, Bolivia, Colombia, northwestern Brazil, and Peru.  They are commonly known as ivory palms, ivory-nut palms or tagua palms; the scientific name "Phytelephas" means "plant elephant".  This and the first two of the common names refer to the very hard white endosperm of their seeds (tagua nuts or jarina seeds), which resembles elephant ivory.

Attalea (palm): Attalea is a large genus of palms native to Mexico, the Caribbean, Central and South America.  This pinnately leaved, non-spiny genus includes both small palms lacking an aboveground stem and large trees.  The genus has a complicated taxonomic history, and has often been split into four or five genera based on differences in the male flowers.  Since the genera can only be distinguished on the basis of their male flowers, the existence of intermediate flower types and the existence of hybrids between different genera has been used as an argument for keeping them all in the same genus.  This has been supported by a recent molecular phylogeny.

Supporting paragraphs: Alangium Howea
Answer: no