| Euclid - Geometry - 1853 - 176 pages
...the line AB. SCHOLIUM. The definition of a square, as given by Euclid, viz. " a four-sided figure, **which has all its sides equal, and all its angles right angles"** is more than sufficient, and really involves a theorem. It is only necessary to state (d) Constr. (e)... | |
| William Somerville Orr - Science - 1854 - 532 pages
...than a right angle. An acute-angled triangle has each of its angles acute, or less than a right angle. **Of four-sided figures, a square is that which has...its sides equal, and all its angles right angles.** If the four sides are equal, and only one of the angles affirmed to be right, the other three angles... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...notions and principles. For example, in the former Part a square was defined to be "a parallelogram, **which has all its sides equal and all its angles right angles";** in this Part such a construction is required to be actually made under certain given circumstances.... | |
| Euclides - 1855 - 262 pages
...two preceding species of triangles have each two acute angles, as will be shown in the sequel. XXX. **Of four-sided figures, a square is that which has...its sides equal, and all its angles right angles.** This definition is redundant. If the general definition annexed to the 34th Prop, of this book be considered,... | |
| John Playfair - Geometry - 1855 - 336 pages
...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** a]] its sides equal. 27. A rhombus is that which has all its sides equal, but its angles are not right... | |
| Noble Heath - Arithmetic - 1846-1880 - 1855 - 468 pages
...having all its angles right angles, hut only its opposite sides equal. 107. The Pythagorean Tahle, **which has all its sides equal, and all its angles right angles,** is a square. As the divisions of its sides are also equal, suppose each to be 1 inch long : then, as... | |
| Charles Haslett - Engineering - 1856 - 530 pages
...inches, <fcc, | Mensuration of Superficies. Square. Rectangle. :B A SQUARE is a quadrilateral figure, **which has all its sides equal, and all its angles right angles.** A RECTANGLE is a four-sided figure, which has its angles, right angles, and its opposite sides parallel.... | |
| Noble Heath - Arithmetic - 1856 - 472 pages
...having all its angles right angles, hut only its opposite sides equal. 107. The Pythagorean Table, **which has all its sides equal, and all its angles right angles,** is a square. As the divisions of its sides are also equal, suppose each to he 1 inch long : then, as... | |
| Charles Haslett - 1855 - 544 pages
...cubic feet, inches, <iu. mensuration of Superficies. Rectangle. A SQUARE is a quadrilateral figure, **which has all its sides equal, and all its angles right angles.** A RECTANGLE is a four-sided figure, which has its angles, right angles, and its opposite sides parallel.... | |
| Thomas Cogswell Upham - Ethics - 1857 - 472 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 sides, but equality of angles. And it is... | |
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