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 ; (i. Books 3-9 - Page 64by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Thomas Malton - 1774 - 440 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, Euclid - Trigonometry - 1775 - 520 pages
...angle 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 - 264 pages
...in an lequilateral triangle is one third of two right angles, or two thirds of one right angle. 6. **If one angle of a triangle be equal to the other two,** that angle is a right one ; for, if the fide is produced, the adjacent angle is equal to the other... | |
| Euclid - Geometry - 1776 - 264 pages
...in an ^equilateral triangle is one third of two right angles, or two thirds of one right angle. 6. **If one angle of a triangle be equal to the other two,** that angle is a right one ; for, if the fide is produced, the adjacent angle is equal to the other... | |
| Euclid - 1781 - 520 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... | |
| James Williamson - Mathematics - 1781
...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... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...angle of the lefs feg~ient is faid to be lefs .' than a right angle.' CoR. From this it is Tnanifcit, **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... | |
| 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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...said to be greater, and the angle 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 - Trigonometry - 1806 - 311 pages
...is greater than a 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... | |
| |