de·duce

[dih-doos, -dyoos]
verb (used with object), de·duced, de·duc·ing.
1.
to derive as a conclusion from something known or assumed; infer: From the evidence the detective deduced that the gardener had done it.
2.
to trace the derivation of; trace the course of: to deduce one's lineage.

Origin:
1520–30; < Latin dēdūcere to lead down, derive, equivalent to dē- de- + dūcere to lead, bring

de·duc·i·ble, adjective
de·duc·i·bil·i·ty, de·duc·i·ble·ness, noun
de·duc·i·bly, adverb
non·de·duc·i·ble, adjective
sub·de·duc·i·ble, adjective
un·de·duced, adjective
un·de·duc·i·ble, adjective

1. adduce, deduce, induce ; 2. deduce, deduct ; 3. deducible, deductible.


1. conclude, reason, gather, determine.
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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Collins
World English Dictionary
deduce (dɪˈdjuːs) [Click for IPA pronunciation guide]
 
vb
1.  (may take a clause as object) to reach (a conclusion about something) by reasoning; conclude (that); infer
2.  archaic to trace the origin, course, or derivation of
 
[C15: from Latin dēdūcere to lead away, derive, from de- + dūcere to lead]
 
de'ducible
 
adj
 
deduci'bility
 
n
 
de'ducibleness
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Etymonline
Word Origin & History

deduce
early 15c., from L. deducere "lead down, derive" (in M.L. "infer logically"), from de- "down" + ducere "to lead" (see duke). Originally literal, sense of "draw a conclusion from something already known" is first recorded 1520s, from M.L.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
It was easier to deduce that the interface might change than that the words
  people would want to read would be different, too.
Then the characters deduce, for example, what kinds of food different dinosaurs
  eat by examining their mouths and teeth.
If the monkey can consistently learn to grab the green ball, it is logical to
  deduce that he can tell red and green apart.
His voice adds a level of immanency that a reader might not deduce from reading
  it alone.
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