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" CHG; and they are adjacent angles; but when a straight line standing on another 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 to... "
Elements of Geometry and Conic Sections - Page 10
by Elias Loomis - 1861 - 234 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...adjacent angles. but when the adjacent angles which one ftraight line makes with another ftraight line are e.qual to one another, each of them is called a right ,* angle ; therefore Def each of the angles DCF, ECF is a right angle. wherefore from the given point C in the...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...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 to it; therefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...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. therefore...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 to it ;...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...the angle , CHG ; 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 ftraight line which ftands upon the other, is called a perpendicular to it ;...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...angle CHG; and they are adjacent e. 8. i. :angles. but when a ftraight line flanding on a ftraight line makes the adjacent angles equal to one another, each of them is a right angle, and the ftraight line which ftands upon the other is called af perpen- f. to.Def.t....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...the angle CHG ; and thry are adjacent angles ; now when a straight lina 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 to it ;...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...therefore the angle AFE is equal (8. 1 .) to the angle BFE. Bnt when a straight line standing upon another, makes the adjacent angles equal to one another, each of them is a right (1O Def. 1.) angle : Therefore each of the angles AEF, BFE is a right angle ; •wherefore...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...angle ADG is equald to the angle GDB. But when af \ * 8. i. right line standing on another right line ! makes the adjacent angles equal to one \ another, each of them is a right angle.e Therefore the angle GDB is a right angle ; the angle FDB is also a right angle ; therefore...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...equal to the angle ECF, and they are adjacent angles. But when a right line standing upon a right line makes the adjacent angles equal to one another, each of them is a right angle: therefore each of the angles DCF, ECF, is a right angle. Wherefore the right line FC...
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