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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 21
των Euclid - 1810 - 518 σελίδες
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...always denotes the angular point. 10. (Eue. i. det 10.) When a straight line standing; upon another straight line makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular to...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...Therefore the angle ADG is equal0 to the angle GDB : But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle :d Therefore the angle GDB is a right angle: But FDB is likewise a right...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...therefore the angle ADG is equal (7. 1.) to the angle BDG ; but when a straight line standing upon another straight line, makes the adjacent angles equal to one another, each of the angles is a right angle (Def. 27. 1.); therefore BDG is a right angle ; but BDF is likewise a right...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 σελίδες
...therefore the angle AFE is equal b to theangle BFE. And when a straight line standing upon another maRes the adjacent angles equal to one another, each of them is a rip-ht" angle : Therefore each of the angles AFE, BFE is a right angle ; wherefore the straight line...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...which meet together but are not in the same straight line. 7. 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...

A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 σελίδες
...the adjacent angles equal to one another, each of these angles is called a right angle, and the right line which stands upon the other is called a perpendicular to it. the right line AB, and make the angles ADB CDA, CDB equal to one another, each of these angles is called...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 254 σελίδες
...there are three plane angles about each of its solid angles. 3 — When one line. standing on another line makes the adjacent angles equal to one another, each of them is called a right angle. 4. — An angle which is greater than a right angle is called an obtuse angle....

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...straight lines meet is called the vertex of the angle. 8. 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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...therefore the angle AFE is equal (8. lJ to the angle BFE: but when a straight line standing upon another makes the adjacent angles equal to one another, each of them is a right (10 def.) angle: therefore each of the angles AFE, BFE is a right angle ; wherefore the straight line...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...by a letter placed at that point; as the angle at E.VIII. 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 lines are said to be perpendicular to each other....




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