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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. "
Pure mathematics - Page 103
by Edward Atkins - 1874
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...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...which stands on the other is called a PERPENDICULAR. Fig. 4. 8. An OBTUSE ANGLE is that which is greater than a right angle. Fig. 5. 9. An ACUTE ANGLE is...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...When a straight line standing on another straight line makes the adjacent angles equal to each other, each of the angles is called a right angle; and the...stands on the other is called a perpendicular to it. Otherwise. When a straight line standing on another straight line does not incline to either side of...
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An Introduction to Geography and the Use of the Globes, for the Use of Schools

James Charlton - Geography - 1829 - 250 pages
....,; . l 5tn"A f itei,*& i theinc!ination or opening -of two angles is called a RIGHT ANGLE ; and the line which stands on the other, is called a PERPENDICULAR to it. •• • > i •••••• i OF THE TERRESTRIAL •'CLdME.'"' 28. The TERRESTRIAL GLOBE is an...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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...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 than a right angle, is called...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...(ABC and ABD) equal to one another, each of these angles is called a right angle ; B and the right line, which stands on the other, is called a perpendicular to it. Fig. 1. 12. The angle (ABC), which is greater than a right angle, is called obtuse. Fig. 4. 13. The...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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...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 acute angle is that which is...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...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 ie called a perpendicular to it. , VIII. An obtuse angle is that which is greater than a right angle....
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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...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 / which is greater than a right...
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