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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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...the angle CHF is equal to CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes 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...

Mathematical Questions and Solutions, Τόμος 42

1885
...to one another." This again is capable of proof. The definition of a right angle is as follows : " 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 the other is called a...

Mathematical Questions with Their Solutions, from the "Educational Times"...

W. J. C. Miller - 1885
...to one another." This again is capable of proof. The definition of a right angle is as follows : ' ' 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 the other is called a...

Practical Arithmetic, by Induction and Analysis, Βιβλίο 3

Joseph Ray - 1885 - 336 σελίδες
...stands on another so that it makes with it two equal angles, each of Right angle. Hisht these angles is a RIGHT ANGLE; and the straight line which stands on the other is said to be PERPENDICULAR to it, or at RIGHT ANGLES to it. A/ obt«se /Acute 3. An OBTUSE ANGLE is greater...

The first six books of the Elements of Euclid, and propositions i ..., Βιβλίο 11

Euclides, John Casey - 1885
...adjacent angles at both sides of itself equal, each of the angles is called a right angle, and the line which stands on the other is called a perpendicular to it. Hence a right angle is equal to its supplement. xv. An acute angle is one which is less than a right...

The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 σελίδες
...adjacent angles at both sides of itself equal, each of the angles is called a right angle, and the line which stands on the other is called a perpendicular to it. D Hence a right angle is equal to its supplement. xv. An acute angle is one which is less than a right...

Elementary Physiography: An Introduction to the Study of Nature

John Thornton - 1888 - 248 σελίδες
...290. The Measurement of Angles. — Euclid gives the following definition of a right angle : — ' When a straight line standing on another straight...stands on the other is called a perpendicular to it.' We find it convenient for the purposes of angular measurement to divide the right angle into smaller...

Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 272 σελίδες
...When an angle is simply spoken of, a plane rectilineal angle is always meant. 4. Perpendicular, — 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 lines are said to be perpendicular to each other....

A Handbook of Descriptive and Practical Astronomy: Instruments and practical ...

George Frederick Chambers - 1890
...lines to each other in the same plane gives rise to a plant rectilineal angle, or simply on angle. When a straight line, standing on another straight line, makes the adjacent angles equal to each other, each of those angles is called a right angle ; but if the adjacent angles are not equal...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...for Euclid having chosen the method of Prop. 10 instead of it. See Note 2 on Prop. 9. DEF. 10. — When a straight line standing on another straight...and the straight line which stands on the other is said to be perpendicular, or at right angles, to it. The symbol for ' perpendicular 'is x r. The student...




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