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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. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 51
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...angle, and near to the angular point. Thus, angle DBC may be called angle n ; and ABD, angle m. 11. When a straight line standing on another straight...stands on the other is called a perpendicular to it. 12. The two adjacent angles which one straight line makes with another on the same side of it are called...

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

Robert Potts - 1860 - 361 σελίδες
...15.) therefore the angle FHC is equal to the angle GHC; (I. 8.) and these 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...

The popular educator, Τόμος 3

Popular educator - 1860
...equal to the base OH, and the angle CHF (I. 4) to the angle CBO ; 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...

Plane Trigonometry ...

Isaac Todhunter - 1860
...meet together, but are not in the same straight line. And when a straight line standing on another makes the adjacent angles equal to one another, each of the angles is called a right angle. A right angle is divided into 90 equal parts called degrees, a degree is divided into 60 equal parts...

A course of geometrical drawing

William Schofield Binns - 1861
...inclination of two straight lines to one another, meeting or cutting each other in a point, as c (10) " When a straight line standing on another straight...stands on the other is called a perpendicular to it." The angles AB c, ABD, are right angles. Obs. 1. Because DB is in the same straight line with B c, the...

A handbook of practical gauging

Janes Boddely Keene - 1861
...the angle. Plate I., Fig. 1. 10. Angles are of three kinds. Fig. 2. a. The Right Angle. — If one straight line standing on another straight line makes the adjacent angles equal to one another, each is .called a right angle, and the line standing on the other is said to be perpendicular to it. b....

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...st. line makes the adj. ¿_s equal to each other, each of these /.s is called a rt. ¿_ ; and the st. line which stands on the other is called a perpendicular to it. Ax. 1. Things which are equal to the same thing are equal to one another. EI 2 CI 2 Dat. Quass. Pst....

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...4. Therefore the angle DCF is equal to the angle ECF; (I. 8.) And they are adjacent angles. 5. But when a straight line, standing on another straight...another, each of the angles is called a right angle; (def. 10.) 6. Therefore each of the angles DCF, ECF, is a right angle. Conclusion. — Therefore from...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...therefore the angle AFE is equal to the angle BFE ; (i. 8) but 'when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right anele ;' therefore each of the angles AFE, BFE, is a right angle; wherefore the straight...

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...only one angle 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...the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on tbo other is called a...




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