| Luke Hebert - 1835 - 816 sider
...PROBLEM I. — To divide a given line AB iяto two equal parts. From the end of the line A and B, Fig. 1, as centres, and with any opening of the compasses greater than half AB, describe arches, cutting each other in e and it. Draw the Une с d; and the point E, where it cuts... | |
| William Grier - 1836 - 384 sider
...sum of all its sides taken together. 72. A Proposition, is something which is either proposed to be done, or to be demonstrated, and is either a problem or a theorem. 73. A Problem, is something proposed to be done. 74. A Theorem, is something proposed to be demonstrated.... | |
| Luke Hebert - 1836 - 814 sider
...PROBLEM I. — To divide a given line AB into two equal parts. From the end of the line A and B, Fig. 1, as centres, and with any opening of the compasses greater than half AB, describe arches, cutting each other in с and d. Draw the line с d; and the point E, where it... | |
| William Grier - 1839 - 324 sider
...all its sides taken together. 72. A Proposition, is something which is either proposed to be (lone, or to be demonstrated, and is either a problem or a theorem. 73. A Problem, is something proposed to be done. 74. ATheorem, is something proposed to be demonstrated.... | |
| William Grier - 1842 - 320 sider
...The Perimeter of a figure, is the sum of all its sides taken together. l*2&r "f THEOREMS. 63 to be done, or to be demonstrated, and is either a problem or a theorem. 73. A Problem, is something proposed to be done. 74. ATheorem, is something proposed to be demonstrated.... | |
| Samuel Maunder - 1843 - 914 sider
...exactly fill the same space, are equal to one another." A proposition is something proposed either to be done or to be demonstrated, and is either a problem or a theorem : it is a problem when it proposes anything to be done, as to divide a given line into two equal parts,... | |
| Great Britain. Admiralty - 1846 - 128 sider
...angles. A proposition is something either proposed to be done, or to be demonstrated, and iseither a problem or a theorem. A problem is something proposed to be done; as the construction of a figure, &c. A theorem is something proposed to be demonstrated. A corollary... | |
| Great Britain. Admiralty - 1846 - 128 sider
...angles. A proposition is something either proposed to he done, or to he demonstrated, and iseither a problem or a theorem. A problem is something proposed to be done; as the construction of a figure, &c. A theorem is something proposed to be demonstrated. A corollary... | |
| Charles William Hackley - 1847 - 248 sider
...triangles, those opposite equal angles. 68. A Proposition is something which is either proposed to be done, or to be demonstrated, and is either a problem or a theorem. 69. A Problem is something proposed to be done. 70. A Theorem is a truth proposed to be demonstrated.... | |
| Basil Jackson - 1847 - 410 sider
...at p. 117, saves us the trouble. V 10. To bisect, or divide into two equal parts, a given line, A B. With any opening of the compasses greater than half the given line, about the extremities, A and B, as centres, describe arcs intersecting each other in C and D ; then... | |
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