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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

EUCLID. - 1883 - 96 σελίδες
...= FE (Def. 17), .-. A DCF = A ECF (/. 8), and .-. L DCF = L ECF, and these are adjacent angles. But when a straight line standing on another straight...another, each of the angles is called a right angle. .-. CF is at right angles to AB, and is drawn from the given point CQEF NSte.— Since an angle may...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...from the centre G ; [I. Definition 15. therefore the angle ADG is equal to the angle BDG. [I. 8. But when a straight line, standing on another straight...another, each of the angles is called a right angle ; [I. Definition 10. therefore the angle BDG is a right angle. But the angle BDF is also a right angle....

An introduction to the Elements of Euclid, being a familiar ..., Μέρος 1

Stephen Thomas Hawtrey - 1884 - 155 σελίδες
...leads on to the Definitions 10, 11, and 12 of Euclid, which are as follows : Definition 10.—When a straight line standing on another straight line...stands on the other is called a perpendicular to it. Definition}.}..—An obtuse angle is that which is greater than a right angle. Definition 12.—An...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...a straight line stands on another straight line, and makes the adjacent angles equal to each other, each of the angles is called a right angle ; and the...stands on the other is called a perpendicular to it. CUD Thus, if AB stands on CD in such a manner that the adjacent angles ABC, ABD are equal to one another,...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...together equal to two right angles. Axiom 1. Therefore, the angles which &o. QE Ti. Definition 10. When a straight line standing on another straight...the adjacent angles equal to one another, each of these angles is called a right angle. Proposition XL A straight -line may be drawn at right angles...

Relfe brothers' Euclid sheets, propositions 1-26, Βιβλίο 1

Euclides - 1884
...equal to the base ; therefore the angle is equal to the angle ; 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 Living Age ..., Τόμος 161

1884
...same straight line [plane]. X. When a straight line [plane] standing on another straight line [plane] makes the adjacent angles equal to one another, each of the angles is called a right angle [right dihedral angle]. XV. A circle [cone of revolution with vertex at the eye] is a figure contained...

Mathematical Questions with Their Solutions: From the ..., Τόμοι 40-42

1884
...This again is capable of proof. The definition of a right angle is as follows : " When a straight bine 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 called a...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...angle in as many different ways as you can, and say how many. u •"- .° *• 6. KINDS OF ANGLES. 10. When a straight line standing on another straight line makes the adjacent angles equal to each other, each of these angles is called a right angle; and the straight line which stands on the...

The Weston school manual

Colin Arrott R. Browning - 1884
...angle is expressed by three letters, the middle letter is that which stands at the angular point. (4) When a straight line standing on another straight line makes the adjacent angles equal, each of them is called a Right Angle ; and the straight line standing on the other is called a Perpendicular,...




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