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Answer for the clue "Greek mathematician and inventor who devised a way to determine the area of a triangle and who described various mechanical devices (first century) ", 5 letters:
heron

Alternative clues for the word heron

Word definitions for heron in dictionaries

Wikipedia Word definitions in Wikipedia
The Heron Dinghy is a dinghy designed by Jack Holt of the United Kingdom as the Yachting World Cartopper (YW Cartopper). The Heron dinghy was designed to be built by a home handyman out of marine ply over a timber frame, but can now also be constructed ...

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Heron \Her"on\, n. [OE. heiroun, heroun, heron, hern, OF. hairon, F. h['e]ron, OHG. heigir; cf. Icel. hegri, Dan. heire, Sw. h["a]ger, and also G. h["a]her jay, jackdaw, OHG. hehara, higere, woodpecker, magpie, D. reiger heron, G. reiher, AS. hr[=a]gra. ...

Usage examples of heron.

Mason usually did that, but he was off in Chincoteague, Anna happened to know, photographing herons.

As they continued they degenerated into animal howls that went skipping over the Fens like pebbles, alarming sleeping ducks, dislodging owls from branches and sending herons flapping to safer nests.

Shear Pleasures, though according to the white script painted on the window, Belle had added pedicures, and the Bijoux Theater still dominated the corner of Maringouin and Heron.

No herons waded in the shallows, no beavers or muskrats were busy building nests.

They could hear and occasionally see the swamp birds, the herons, the huge blue herons and the green ones, the bitterns, the white ibis with coral-colored legs and beaks, the grebes and the snake birds.

At the farthest tip, near Cape Sable, the sky flashed with wild birds: herons, curlews, ibises, blue egrets, white pelicans, sandpipers and a few roseate spoonbills.

Heron and Aelia and Wren, all of us clad alike in green gowns and veils and garlands of spring flowers.

Heron seemed to prick up his ears with an amount of worldly interest which scarcely harmonised with his saintly character.

We are almost as poor as the smallest tenant, though we live in this big house, and are still regarded as great people--the Herons of Herondale.

Wordley, and that he had been too indignant to acquaint the Herons with the fact.

I want to send the Herons a present, a really nice present that will help them, I hope, to forget the trouble I caused them.

It was almost difficult to believe that she had ever left Herondale that Laburnum Villa was anything but a nightmare and the Herons a dismal unreality.

Whenever they heard them rehearsing, they made snide remarks, sniggered loudly, and declared that the Herons stank to high heaven.

Both had herons on the collars, and both were at least as ornate as the scarlet coat he was wearing.

Rand had the feeling Caldevwin had noticed the herons as soon as he came in.