| Thomas Cogswell Upham - 1841
...brought out by a successive comparison of propositions. We say, for instance, that a square is a figure, **which has all its sides equal, and all its angles right angles.** In this definition there is not only involved equality of sides, but equality of angles. And it is... | |
| Euclides - 1842
...which has an obtuse angle. XXIX. An acute-angled triangle is that which has three acute angles. XXX. **Of four-sided figures, a square is that which has...its sides equal. XXXII. A rhombus is that which has** all its sides equal, but its angles are not right angles. XXXIII. A rhomboid is that which has its... | |
| John Playfair - 1842 - 317 sider
...obtuse angle. 24. An acute angled triangle is that whick has three acute angles. 25. Of four sided **figures, a square is that which has all its sides equal and all its angles right angles.** 26. An oblong is that which has all its angles right angles, but has not all its sides equal. 27. A... | |
| William Pease - 1843 - 68 sider
...which has an obtuse angle. The two remaining angles will necessarily be acute. XXX. Of four -sided **figures, a square is that which has all its sides...angles right angles, but has not all its sides equal.** Its opposite sides are necessarily equal. XXXII. A rhombus is that which has all its sides equal, but... | |
| Philip Kelland - 1843 - 147 sider
...figures as contain more sides than angles, such as A., which are called by Zenodorus * In Def. 27. **Of four-sided figures a square is that which has all its sides equal, and** one of its angles a right angle. It has been properly objected to some of Euclid's definitions, that... | |
| Robert Potts - 1845
...triangle is that which has three acute angles. XXX. Of quadrilateral or four-sided figures, a square **has all its sides equal and all its angles right angles....but has not all its sides equal. XXXII. A rhombus** has all its sides equal, but its angles are not right angles. XXXIII. A rhomboid has its opposite sides... | |
| Robert Simson - 1845 - 199 sider
...which has an obtuse angle. XXIX. An acute-angled triangle, is that which has three acute angles. XXX. **Of four-sided figures, a square is that which has...sides equal, and all its angles right angles. XXXI.** XXXII. A rhombus, is that which has all its sides equal, but its angles are not right angles. XXX1I1.... | |
| 1845
...which has one obtuse angle. 31. An acute angled triangle has all its angles acute. 32. Of four- sided **figures, a square is that which has all its sides equal, and all its angles right angles.** 33. A rectangle is that which has all its angles right angles, but all its sides are not equal. 34.... | |
| James Thomson - 1845 - 358 sider
...also are two angles which are together equal to two right angles. -, A square is a four-sided figure **which has all its sides equal and all its angles right angles.** " A rhombns is a four-sided figure which has all its sides equal ; but its angles are not right angles."... | |
| Euclides - 1846
...: xxix. An acute-angled triangle is that which has three acute angles. Of four-sided figures, xxx. **A square is that which has all its sides equal, and...is that which has all its angles right angles, but** not all its sides equal : xxxn. A rhombus is that which has all its sides equal, but its angles are... | |
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