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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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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...

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

Peter Nicholson - 1825 - 1046 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 : (Ю. Def. 1 .) Therefore the angle GDB is a right angle. But FDB is likewise...

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...

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

Robert Simson - 1827 - 546 σελίδες
...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 Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - 1828 - 190 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." TEACHER. The shortest way to know whether an angle, such as DCB, be a right one, is to produce one...

A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Τόμος 10

Thomas Curtis - 1829 - 814 σελίδες
...С denotes the angle contained by the line С В and DB. 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....

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 σελίδες
...upon another straight line makes the adjacent angles equal to one anolher, each of th тп is called a right angle, and the straight line which stands upon the other is called a perpendicular to it. 11. If an angle he not right, it is called oblique. An oblique angle is said to be arutu or obtuse,...

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

John Playfair - 1832 - 358 σελίδες
...equal (8. 1.) to the angle CHG; and they are adjacent angles; now wnen a straight line standing on a straight line makes the adjacent angles equal to one...angle, and the straight line which stands upon the ether is called a perpendicular to it; therefore from the given point C a perpendicular CH has been...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 σελίδες
...expressed, it is always the direct angle that is meant. XXXVII. 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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