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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 First Six Books: Together with the Eleventh and Twelfth - Σελίδα 10
των Euclid - 1781 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Peter Nicholson - 1825 - 1046 σελίδες
...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 a right...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 σελίδες
...When a straight line AB, standing on another straight line CD, makes the adjacent angles ABC and ABD 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. •D OF GEOMETRY. with another...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 σελίδες
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right line standing on the other is called a perpendicular....

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

Euclides - 1826 - 226 σελίδες
...are right lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right Tine standing on the other is called a perpendicular....

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

Robert Simson - 1827 - 546 σελίδες
...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 to it. XL An obtuse angle is that...

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

Thomas Curtis - 1829 - 814 σελίδες
...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. Fig. 4. 8. An OBTUSE ANGLE is that...

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

Thomas Perronet Thompson - 1833 - 168 σελίδες
...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 to it ; and is also said to be at...

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

Euclid - 1835 - 540 σελίδες
...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 angle; wherefore...

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

1836 - 488 σελίδες
...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 to it. 8. An obtuse angle is that...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...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 angle ; wherefore...




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