1Even as the sun with purple-colored face

Even as

As soon as; Just when
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purple-colored

blushing
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Had ta'en his last leave of the weeping morn,

ta'en

taken
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the weeping morn

The goddess Aurora
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Rose-cheeked Adonis hied him to the chase.

Rose-cheeked

young; innocent; cheerful; optimistic
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hied

went quickly, hastened, hurried
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Hunting he loved, but love he laughed to scorn.

love he laughed to scorn

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5Sick-thoughted Venus makes amain unto him
And like a bold-faced suitor 'gins to woo him.

"Thrice fairer than myself," thus she began,
"The field's chief flower, sweet above compare,

flower

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above compare

without compeer or equal. See OED n.1 2.
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Stain to all nymphs, more lovely than a man,

Stain

"One who eclipses or casts into the shade" (OED n. 3.c). Thus, Adonis's beauty eclipses, overshadows, or surpasses that of the nymphs, the beautiful and enticing water maidens.
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10More white and red than doves or roses are.

More white and red

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Nature that made thee with herself at strife
Saith that the world hath ending with thy life.

"Vouchsafe, thou wonder, to alight thy steed

Vouchsafe

"To give, grant, or bestow in a gracious or condescending manner" (OED v. 2).
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alight

alight from; dismount
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And rein his proud head to the saddlebow.

And rein his proud head to the saddlebow

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15If thou wilt deign this favor, for thy meed

deign

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meed

reward
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A thousand honey secrets shalt thou know.
Here come and sit, where never serpent hisses,
And being set, I'll smother thee with kisses.

"And yet not cloy thy lips with loathed satiety,

And yet not cloy . . . famish them amid their plenty

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20But rather famish them amid their plenty,
Making them red and pale with fresh variety;

Making them red and pale with fresh variety; / Ten kisses short as one, one long as twenty.

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Ten kisses short as one, one long as twenty.
A summer's day will seem an hour but short,
Being wasted in such time-beguiling sport."

25With this she seizeth on his sweating palm,

his sweating palm

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The precedent of pith and livelihood,

The precedent of pith and livelihood

A sign of spirit and vitality, strength and energy
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And trembling in her passion, calls it balm,

balm, / Earth's sovereign salve

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Earth's sovereign salve, to do a goddess good.
Being so enraged, desire doth lend her force
30Courageously to pluck him from his horse.