# quae erant demonstranda

Definition from Wiktionary, the free dictionary

## English[edit]

### Etymology[edit]

From Latin *quae erant dēmonstranda* (“which were to be proved”).

### Noun[edit]

- plural of
*quod erat demonstrandum***1894**: Benjamin Franklin Finkel,*The American mathematical monthly: devoted to the interests of collegiate mathematics*, volume 1, page 190 (Mathematical Association of America)- Therefore it is established that the join
*CD*will be equal, or less, or greater than this*AB*, according as the angles at the same*CD*are right, or obtuse, or acute.**Quae erant demonstranda**.

- Therefore it is established that the join
**1955**: Maurice Leonard Jacks,*The education of good men*, page 47 (Gollancz)- The proving of a geometrical theorem is, of course, an exercise in logical thinking, but the pupil needs to be made conscious of this, and also conscious of the fact that the same processes of thought are applicable in quite other fields and will lead to equally satisfactory results (
**quae erant demonstranda**) there too.

- The proving of a geometrical theorem is, of course, an exercise in logical thinking, but the pupil needs to be made conscious of this, and also conscious of the fact that the same processes of thought are applicable in quite other fields and will lead to equally satisfactory results (

## Latin[edit]

### Etymology[edit]

*quae* (nominative neuter plural of *quī*) + *erant* (third-person plural imperfect active indicative of *sum*) + *dēmonstranda* (nominative neuter plural of *dēmonstrandus*, future participle of *dēmonstrō*)

### Phrase[edit]

- plural of
*quod erat dēmonstrandum***1986**: Girolamo Saccheri, George Bruce Halsted (translator),*Girolamo Saccheri’s Euclides vindicatus*, page 24 (AMS Bookstore; ISBN 0‒8284‒0289‒2, 978‒0‒8284‒0289‒7)- Itaque constat junctam CD aequalem fore, aut mino-
^{[4]}rem, aut majorem ipsa AB, prout anguli ad eandem CD fuerint aut recti, aut obtusi, aut acuti.**Quae erant demonstranda**.

- Itaque constat junctam CD aequalem fore, aut mino-