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" When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. "
Elements of Geometry and Conic Sections - Page 10
by Elias Loomis - 1849 - 226 pages
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The Elements of Geometry: Or, The First Six Books, with the Eleventh and ...

Euclid - Euclid's Elements - 1859 - 254 pages
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The Fundamentals of Logic

Frank Miller Chapman, Paul Henle - Logic - 1933 - 412 pages
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The Thirteen Books of Euclib's Elements.

Euclid - 454 pages
...is equal to the angle EHC. [1.8] And they are adjacent angles. But, when a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is 30 called a perpendicular...
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Euclid in Greek, Volume 1

Euclid - Euclid's Elements - 1920 - 304 pages
...straight line on which it stands.' The full translation then is: 'When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...definition, it is not necessary to define a rectilineal angle). 10. SJt When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to...
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The Modern Schoolman, Volume 27

Neo-Scholasticism - 1949 - 372 pages
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...EB ; therefore the angle AFE is equal to the angle BFE. [i. 8] But, when a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right ; [i. Def. 10] 20 therefore each of the angles AFE, BFE is right. Therefore...
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