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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 - Page xv
by Euclid - 1781 - 520 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 pages
...the Angle AFE j. g ti fhall bef equal to the Angle BFE. But when a Right Line {landing upon a Right Line makes the adjacent Angles equal to one another, each of the equal Angles is ia Right Angle. Wherefore AFE, or BFE, is a Right Angle. And therefore the Right Line...
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 pages
...Therefore the Angle * 8- i. AD G is * equal to the Angle GD B. But when a Right Line ftanding upon 'a Right Line, makes the adjacent Angles equal to one another, each of the 10. i. equal Angles will f be a Right Angle. Wherefore the Angle GDB is a Right Angle. But FDB is alfo...
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...center G *. therefore the angle ADG is equal c to the angle GDB. but when a ftraight line ftanding upon another ftraight line, makes the adjacent angles equal to one another ,each of the angles is a right angle *. therefore the angle GDB is a right angle. but FDB is like- d.io.Def.i. wife a right...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...angle EH c [by prop. 8.] ; and thefe are adjacent angles. But when a right line flanding upon a right line makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the ftanding right line is called a perpendicular to that upon which...
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769
...When a ftraight line (AB) {landing on another ftright line (CD) makes the adjacent angles (ABD, ABC,) equal to one another, each of the angles is called a right angle ; and the rtraight line (AB) which ftands on the other (CD) is called я perpendicular. Fig. 7. XI. An Obtvfe...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...equal' to the angle CHG; and they are adjacent angles ; but when a ftraight line ftanding cet on a ftraight line makes the adjacent angles equal to one another, each of them is a right angle, and the ftraight line which flands upon the other is called a perpendicular...
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The elements of Euclid: with dissertations intended to assist and ..., Volume 1

James Williamson - Mathematics - 1781
...angle contained by ECF, and they are adjacent or confequent: but when a ftraight line ftanding upon a ftraight line makes the adjacent angles equal to one another; each of the equal angles is a right angle: therefore each of the angles contained by DCF, FCE is a right angle....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...equal e to the angle CHG; and they are adjacentc. 8. i. angles. but when a ftraight line ftanding on a ftraight line makes the adjacent angles equal to one another, each of them is aright angle, and the ftraight linewhich ftands upon the other is called a perpendiculartoit....
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Observations on the nature of demonstrative evidence: with an explanation of ...

Thomas Beddoes - Greek language - 1793 - 172 pages
...whether they are plane or otherwife. DEFINITION X, When a Jlfaight line ftanding on another Jiraight line makes the adjacent angles equal to one another,...each of the angles is called a right angle, and the line which Jlands on the other is called a perpendicular to it. Here we have an appeal made to the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...is equal d to the 111 .le CKG ; and they are adjacent angles; but when a ftraight line ftanding on a ftraight line makes the adjacent angles equal to one another, each of them is a right angle, and the flraight line which ftands upon the other is called a perpendicular...
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