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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 book of Euclid's Elements, simplified, explained and illustrated ... - Σελίδα 6
των Euclides - 1847
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Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...eHF^CHG But when a straight line, standing on another straight are "l""1line, makes the adjacent angles equal to one another, each of the angles is called...stands on the other is called a perpendicular to it (Def. 10). Therefore, from the given point C, a perpendicular has been drawn to the given straight...

The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 σελίδες
...standing on another straight line makes the adjacent angles equal to one another, each of the angles is a right angle, and the straight line which stands on the other is called a perpendicular to it; IKL are perpendiculars to the line GH. DEFINITIONS OF LINES AND ANGLES AA B C D H 15. Inclined lines,...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 σελίδες
...adjacent angles. But 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 [Def. 10] ; therefore each of the angles DCF, ECF is a right angle. Therefore from the giveu point...

Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...and AOE, each of which is greater than two right angles. Such an angle is called a reflex angle. 10. An obtuse angle is that which is greater than a right angle, but less than two right angles. 11. An acute angle is that which is less than a right angle. 12. A...

The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 σελίδες
...ANGLES. DEFINITIONS. 11. A right angle is one of which the sides are perpendicular to one another. An obtuse angle is that which is greater than a right angle ; an acute angle is that which is less than a right angle. 12. When two angles are together equal to...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...line standing on another straight line, makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight...stands on the other is called a perpendicular to it. XL •An obtuse angle is that which is greater than a right angle. xn. An acute angle is that which...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...the angle E. 1 0. When a straight line standing on another straight lino makes tho adjacent angles equal to one another, each of the angles is called...right angle; and the straight line which stands on tho other is called a perpendicular to it. 1 1 . An obtuse angle is that which is greater than a right...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...line standing on another straight line makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is said to be perpendicular to it. 19. When one straight line meeting another straight line makes the...

Natural philosophy for beginners

Isaac Todhunter - 1877 - 442 σελίδες
...following manner : when a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called...stands on the other is called a perpendicular to it. A Thus in the figure if the angle ABC is equal to the angle ABD each of them is a right angle, and...

Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 σελίδες
...line standing on another straight line makes the adjacent angles equal to one another, each of these angles is called a right angle; and the straight line which stands on the other is said to be perpendicular to it. 10. A plane figure is that which is inclosed by one or more lines....




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