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" When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands. "
Euclidean and Non-Euclidean Geometry: An Analytic Approach - Side 1
av Patrick J. Ryan - 1986 - 215 sider
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 sider
...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 CD drawn thro*...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...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 it Sands. tar Book I. Euclid's...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 sider
...fliall be f equal to the Angle BFE. But when af 8. t. Right Line Standing upon a Right Line makes the adjacent Angles equal to one another, each of the equal Angles is J a Right Angle. Wherefore AFE, orJ0«/. 10. i« BFE, is a Right Angle. And therefore the Right •Line...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 sider
...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. Wherefore a ftraight line the...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 sider
...(hall be f equal to the Angle BF E. But when ajgj I Right Line ftanding upon a Right Line makes the adjacent Angles equal to one another, each of the equal Angles is $ a Right Angle. Wherefore AFE, or%Dif. BFE, is a Rioht Angle. And therefore the Right Line CD drawn thro" the Centre,...
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The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1788 - 350 sider
...divided. DKFINITION X. When a Right Line Handing on a Right Line, makes the fucceffive Angles on each fide equal to one another, each of the equal Angles, is a Right Angle ; and the infifting Right Line, is called a PERPENDICULAR to that upon which it ftands. DEFINITION...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right Tine standing on the other is called a perpendicular. 11. An obtuse angle is that which...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 sider
...lines, it is called a rectilineal angle. 10. When a right line standing on another right line, makes the adjacent angles equal to one another, each of the equal angles is a right angle, and the right line standing on the other is called a perpendicular. 11. An obtuse angle is that which...
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Introduction and books 1,2

Euclid - 1908 - 550 sider
...2 . 'Of eta 8e 17* tXao-o-wv opOijs. i o. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands....
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The Teaching of Geometry

David Eugene Smith - 1911 - 358 sider
...attention to having the concept understood. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands....
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