 | Peter Nicholson - 1825 - 1046 pagina’s
...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 the straight... | |
 | Euclides - 1826 - 226 pagina’s
...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 is drawn at right... | |
 | Euclid - 1826 - 234 pagina’s
...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... | |
 | Robert Simson - 1827 - 546 pagina’s
...AFE is equal * to the angle BFE: but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of them is a right* angle; therefore each of the angles AFE, BFE, *1oDef. 1. is a right angle: wherefore the straight line CD,... | |
 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...These are together A equal to two right angles. First Case. If the angles ABC, ABD are •I.Nom.37. equal to one another, each of them is* a right angle, and consequently they are together DBC equal to two right angles. Second Case. If the angles ABC, ABD are... | |
 | Euclides - 1834 - 518 pagina’s
...AFE is equal* to the angle BFE : but when a straight line, standing upon another straight line, makes the adjacent angles equal to one another, each of them is a right* angle; therefore each of the angles AFE, BFE is a right angle : wherefore the straight line CD drawn through... | |
 | Euclid - 1835 - 540 pagina’s
...angle CHG ; and they are adjacent angles ; but when a straight line 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 ; therefore from the given... | |
 | John Playfair - 1836 - 148 pagina’s
...angle AFE is equal (7. 1.) to the angle BFE ; but when a straight line standing upon another, makes the adjacent angles equal to one another, each of them is a right (Def. 27. 1 .) angle ; therefore each of the angles AFE, BFL is a right angle ; wherefore the straight... | |
 | John Playfair - 1836 - 488 pagina’s
...therefore the angle AFE is equal b to theangle BFE. And when a straight line standing upon another maRes the adjacent angles equal to one another, each of them is a rip-ht" angle : Therefore each of the angles AFE, BFE is a right angle ; wherefore the straight line... | |
 | Euclides - 1838 - 264 pagina’s
...and they are adjacent angles; but when a straight line standing on another straight line makes tin; adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called ts Def a PerPendlculart to it ; therefore from... | |
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... common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, each to each ; and the base EA is equal to the base EB ; (i. 
