| Thomas Cogswell Upham - Intellect - 1831 - 544 pages
...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 bides, but equality of angles. And it is... | |
| John Playfair - Euclid's Elements - 1833 - 333 pages
...sided figures, a square is that which has all its sides equal and all its angles right angles. XXVI. **An oblong, is that which has all its angles right angles, but has** not-all its sides equal. xxvir. A rhombus, is that which has all its sides equal, but its angles are... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...quadrilateral figure, whose Fig. 1 '. opposite sides are parallel. 81. A square is a quadrilateral figure, **which has all its sides equal, and all its angles right angles.** 32. Rectilineal figures, which have more than four sides, are called polygons. POSTULATES, Let it be... | |
| Charles Bonnycastle - Geometry - 1834 - 670 pages
...equal, the fourth side will be equal to either of the others. A quadrilateral of this kind, namely, **which has all its sides equal, and all its angles right angles,** is called a square. Part I. art. 13. 69. 5. As these lines M and N appear, from the last remark, to... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...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 all its sides...angles right angles, but has not all its sides equal.** XXXII. A rhombus is that which has all its sides equal, but its angles are not right angles. XXXIII.... | |
| Euclid - 1835 - 540 pages
...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 all its sides...angles right angles, but has not all its sides equal.** XXXII. A rhombus is that which has all its sides equal, but its angles are not right angles. XXXIII.... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...is that which has all its sides equal and all its angles right angles. 25. An oblong, or rectangle, **is that which has all its angles right angles, but has not all its sides equal.** 26. A lozenge, or rhombus, is that which has all its sides equal, but its angles are not right angles.... | |
| Mathematics - 1835 - 684 pages
...that, of all spherical polygons having the same number of sides and the same perimeter, the greatest **is that which has all its sides equal and all its angles** equal. For if a spherical polygon ABODE have not all its sides equal, and AB, AE be two adjoining sides... | |
| Mathematics - 1836 - 472 pages
...obtuse angle. 24. An acute angled triangle, is that which 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.... | |
| George Darley - Euclid's Elements - 1836 - 172 pages
...or both of the sides AD, CD. NOTE N. The common definition of a square is—" a four-sided figure, **which has all its sides equal, and all its angles right angles."** But this definition is in part superfluous; for if but one of the angles be a right angle, it will... | |
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