Sunday, October 19, 2025

05.01.26: Comenius CV; Geometry; text and vocabulary [1]

Geometrie (geometry) │ geōmetria

A geometrician measureth the height of a tower, or the distance of places, either with a quadrant, or a Jacob’s-staff. │ Geōmetra mētītur altitūdinem turris, aut distantiam locōrum, sīve quadrante, sīve radiō.

He maketh out the figures of things, with lines, angles, and circles, by a rule, a square, and a pair of compasses. │ Dēsignat figūrās rērum līneīs, angulīs, & circulīs, ad rēgulam, normam, & circinum.

Out of these arise an oval, a triangle, a quadrangle, and other figures. │ Ex hīs oriuntur cylindrus, trigōnus, tetragōnus, & aliæ figūræ.

Geometrie (geometry) │ geōmetria

A geometrician measureth the height of a tower, … │ Geōmetra mētītur altitūdinem turris

He maketh out the figures of things, … │ Dēsignat figūrās rērum

[1] geōmetria, -ae [1/f]: geometry < Anc. Gk. γεωμετρία [geōmetría]: land survey

geōmetrēs, -ae [1/m]; geometra, -ae [1/m]: geometrician

mētior, -īrī, mēnsus / mētītus (post-CL)  sum [4/deponent]: measure

dēsignō, -āre, -āvī, -ātus [1]: (here) mark; indicate; outline; Engl. deriv. design 

[2] altitūdō, altitūdinis [3/f]: [i] height; [ii] depth < altus, -a, -um: high; deep

Related words:

lātitudō, lātitūdinis [3/f]: width < lātus, -a, -um: wide

longitūdō, longitūdinis [3/f]: length < longus, -a, -um: long

magnitūdō, magnitūdinis [3/f]: size; greatness; a large number; magnitude < magnus, -a, -um: big; great; magnitūdō does not refer to a specific geometrical measure, but is commonly found in the literature

Note:

[i] the genitive singular of 3rd declension nouns is not always a shot in the dark; there are certain endings which [1] always change in the same way and [2] are always the same gender: -tūdō / -tūdinis [3/feminine] is one of them

[ii] Similarly, nouns ending in -tās [1] have a genitive singular in -tātis and [2] are always feminine

brevitās, brevitātis [3/f]: shortness (of space or time); shortness of stature < brevis, -e: short

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Quotations

"Līnea est," inquit, "longitūdō quaedam sine lātitūdine et altitūdine" (Gellius) │ A line is," he says, "a certain length without width and height."

Flūminis erat altitūdō pedum circiter trium (Caesar)  │ The depth of the river was about three feet.

Aenēās urbem dēsignat arātrō (Vergil) │ Aeneas marks out the city with a plough



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