| Euclid, John Keill - Geometry - 1723 - 442 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... | |
| Euclid, John Keill - Geometry - 1733 - 448 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... | |
| Robert Simson - 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... | |
| Euclid - Geometry - 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... | |
| Joseph Fenn - Mathematics - 1769 - 536 pages
...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... | |
| Robert Simson - 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... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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.... | |
| 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.... | |
| Thomas Beddoes - Geometry - 1793 - 196 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... | |
| John Playfair - Trigonometry - 1795 - 444 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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