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

Euclid - 1810 - 554 σελίδες
...equal e to the angle CHG; and 1. they are adjacent angles; but when a straight line standing on ae 8. 1 straight line makes the adjacent angles equal to one...which stands upon the other is called a perpendicular to it; therefore from the given point C a perpendicular CH has been drawn to the given straight line...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...another, which meet together, but are not in the same straight line. 10. 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; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 σελίδες
...ex' pressed 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...

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

Euclides - 1816 - 588 σελίδες
...centre G*: 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: MoDef. ' But FDB is likewise...

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

John Playfair - 1819 - 354 σελίδες
...expressed by a letter placed at that point ; as the angle at E.' VII. 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 - 1819 - 350 σελίδες
...therefore the angle ADG is equal (8. 1.) to the angle GDB : Bat 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. 1.). Therefore the angle GDB is a right angle: But FDB is likewise...

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...CHFijequal (8. 1.) tothe angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a Tight angle, and the straight line which stands upon the other is called a perpendicular to it; therefore...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...expressed by a letter placed at that point ; as the angle at E.' 10. 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...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...is equal to the angle ECF, and they are adjacent angles. But when a right line standing upon a right line makes the adjacent angles equal to one another, each of them is a right angle: therefore each of the angles DCF, ECF, is a right angle. Wherefore the right line FC is drawn at right...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...the angle ADG is equald to the angle GDB. But when af \ * 8. i. right line standing on another right line ! makes the adjacent angles equal to one \ another, each of them is a right angle.e Therefore the angle GDB is a right angle ; the angle FDB is also a right angle ; therefore...




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