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

John Playfair - 1846 - 334 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 (7. def. 1.) Therefore the angle GDB is a right angle : But FDB is likewise a right angle...

The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 σελίδες
...Definition 18. 10. When a straight line, standing on another straight line, makes the adjacent an. gles 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. 11. An obtuse angle is that...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...angle ADG is equal (i. 8.) 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 (i. Def. 10.) : Therefore the angle GDB is a right angle: But FOB is likewise a right...

An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 674 σελίδες
...from the circle by the lines which form the angle. 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 : thus the line AC is perpendicular...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...nearer to AC or EF than BA does.] B 2 BOOK I. BOOK I. 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. [That there may be two such...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...angle adg is equal (i. 8) to the angle gd b' 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 (i. def. 10) : therefore the angle gdb is a right angle : but f db is likewise a right...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...angle ADG is equal (8. i.) 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 (10 Def. i.); therefore the angle GDB is a right angle : But FDB is likewise a (Constr.)...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...1. The angle ADG is equal 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 (I. Def. 10.); therefore 2. The angle GDB is a right angle: but FDB is likewise (Constr.)...

Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 532 σελίδες
...straight line (AB) standing on another straight line (CD) makes the adjacent angles (А В С, А В D) equal to one another, each of the angles is called a right angle ; and the straight lines are said to be perpendicular to each other. Thus the two lines, AB, CD, are perpendicular...

Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856 - 200 σελίδες
...letter placed at that point ; as the angle at E." 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...




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