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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. "
Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ... - Σελίδα 1
των Stewart W. and co - 1884
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 σελίδες
...equivalent. But whenever the contrary is not expressed, it is always the direct angle that is meant. XXXVII. When a straight line standing on another straight...And the straight line which stands on the other is called a perpendicular to it ; and is also said to be at right angles to it. XXXVIII. An angle greater...

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

Euclides - 1834 - 518 σελίδες
...the base CG: therefore the angle CHF is equal* to the angle CHG ; and they are adjacent angles: but when a straight line, standing on another straight...the adjacent angles equal to one another, each of them is a right angle, and the straight line. which stands upon the other, is called a perpendicular...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...letter, as A, 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...

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

Euclid - 1835 - 540 σελίδες
...is equal" to the 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 right angle ; and the straight line which stands upon the other is called a perpendicular...

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

1836 - 488 σελίδες
...of two straight lines to one another, which meet together but are not in the same straight line. 7. When a straight line standing on another straight...and the straight line which stands on the other is called a perpendicular to it. 8. An obtuse angle is that which is greater than a right angle. 9. An...

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

John Playfair - 1836 - 488 σελίδες
...angle at a point, it may be 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 an, other, each of the angles is called a right angle; and the straight line which stands on the other...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...equal (7. 1.) to the 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 right angle, and the straight line which stands upon the other, is called a perpendicular...

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

Euclid, James Thomson - 1837 - 410 σελίδες
...meet one another.^ The point in which the straight lines meet is called the vertex of the angle. 8. When a straight line standing on another straight...and the straight line which stands on the other is called a perpendicular to it, and is said to be at right angles to it. 9. An obtuse angle is that /...

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 a right...

Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 296 σελίδες
...When one straight line standing on another, makes with it two angles which are equal, each of these angles is called a RIGHT ANGLE ; and the straight line which stands on the other is said to be PERPENDICULAR, Or AT RIGHT ANGLES, tO it, or tO be a PERPENDICULAR to it. III. An OBTUSE...




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