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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 plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 12
των Euclides - 1863
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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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...in which the 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...

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

John Playfair - 1837 - 332 σελίδες
...therefore the angle ADG is equal (8. 1.) 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 (7. def. i .) Therefore the angle GDB is a right angle : But FDB is likewise...

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 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
...EB; therefore the angle AFE is equal* *si to the angle BFE: but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each *s Def.i. of u,,,,,, is a right« angle. there_ fore each of the angles AFE, BFE, is a right angle:...

First (Second) book of drawing (by J. Clark).

John Clark (drawing master.) - 1840 - 208 σελίδες
...Vertical or Perpendicular Lines are those which are drawn perfectly upright. When a straight une standing on another straight line makes the adjacent angles equal to one another, then the upright une which stands on the other is called a perpendicular to it. The drawing of a perpendicular...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...expressed by a le:ter placed at that point; as the ' angle at E." X. 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...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...expressed by a letter placed at that ' point ; as the angle at E.' X. 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...




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