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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. "
Modern geometry [ed.] with an appendix by W.B. Jack - Page 18
by Richard Wormell - 1876
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...three letters placed near the lilies, the middle letter at the angular point % 64. DEFINITION. When a straight line standing on another straight line makes the adjacent angles equal, they are called right angles. 65. DEFINITION. A straight line between two right angles is called a...
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The First Six Books with Notes

Euclid - 1822 - 216 pages
...sides. 1 1 . When a right line standing on another makes F,-g 3. the adjacent angles (ABC and ABD) equal to one another, each of these angles is called a right angle ; B ~ Pig. 4Fij7. 4SeeN, Steff, \ \ _\ T" Fij-6. iff. T. Pig. 8. Fvy. 8. F/j- 9. FS.7,, fig. 10. and...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1058 pages
...angle at a point, it may be expressed by a letter placed at that point ; as the angle at E.' 10. 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...at a point, it may be expressed ' by a 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...
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The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 190 pages
...which directs their operations. LESSON II. DBF. VI. " If one right line, standing upon another, make the adjacent angles equal to one another, each of these angles is called a right angle, and the right line which stands upon the other is called a perpendicular to it." TEACHER. The shortest way...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...the angle, thus С ü D or D В С denotes 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....
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...angle at a point, it may be expressed by a letter placed at that point, as -the angle at E. 10. 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 straight line which stands on the other...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 356 pages
...: 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 /• jii • • i j_ 1 / rr J f* i \ of the angles is a right angle (7. def. 1.) Therefore the aniile...
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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
...whenever the contrary is not expressed, it 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...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 214 pages
...the sides. 11. When a right line standing on another makes Fig. 3. the adjacent angles (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...
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