 | 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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An oblong is that which has all its angles right angles, but has not all its sides equal. 
