| Thomas Malton - 1774 - 482 pages
...conf.theAng.A + ABC + BCA(eq.FBA+ABC+CBG) are equal to two Right Angles. - - - C. 3. Th. i. CnR. i. Hence, **if one Angle of a Triangle be equal to the other two** Angles, it is a Right one. For, if either Side, containing the Right Angle, be produced \ the external... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...of the left « fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that **if one angle of a triangle be equal to the other two,** it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent... | |
| Euclid - Geometry - 1776 - 318 pages
...be a right one, each of the other angles will be half a right one. ^ 5. Any angle in an ^equilateral **triangle is one third of two right angles, or two...produced, the adjacent angle is equal to the other two** j therefore each of them are right angles. 7. All the inward angles of any right lined figure make... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...wherefore the angle BAC is a right angle. Which was to be demonftrated. Cor From this it is manifeft that **if one angle of a triangle be equal to the other two** it is a right angle : for this reafon becaufe the adjacent angle is equal to the fame two : but (by... | |
| Euclid - 1781 - 550 pages
...angle of thelcfa ' fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that **if one angle of a triangle be equal to the other two,** it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the ad jacent... | |
| Robert Simson - Trigonometry - 1804
...angle of the lefs fegment is faid to be lefs * than a right angle.' CoR. From this it is manifeft, that **if one angle of a triangle be equal to the other two,** it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...right angle. Therefore, in a circle, Book in. &c. QED COR. From the demonstration it is manifest that **if one angle of a triangle be equal to the other two** angles, it is a right angle. PROP. XXXII. THEOR. IF a straight line touch a circle, and from the point... | |
| Euclides - 1816 - 528 pages
...of the less segment is said to be less, than a right ' angle.' COR. From this it is manifest, that **if one angle of a triangle be equal to the other two,** it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...greater than a right angle. Therefore, in a circle, &c. Q,. ED COR. From this it is manifest, that **if one angle of a triangle be equal to the other two,** it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent... | |
| George Lees - 1826 - 266 pages
...right angle. Therefore, in a circle, &c. QED *- .1 . » • N Cor. From this, it is manifest, that **if one angle of a triangle be equal to the other two,** it is a right angle, because the angle adjacent to it is equal to the same two ; and, when Book l1.... | |
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