| Euclides - 1852 - 152 pages
...will be able to draw any of the figures in this book.] AXIOMS. I. THINGS which are equal to the same **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Euclides - Geometry - 1853 - 176 pages
...from any centre, at any distance from that centre. AXIOMS. I. Things which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...any center, at any distance from that center. X AXIOMS. I. THINGS which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal.** m. , If equals be taken from equals, the remainders are equal. IV. • If equals be added to unequals,... | |
| Euclides - 1862 - 172 pages
...produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same thing, **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Euclides - 1864 - 448 pages
...any eenter, at any distance from that center. AXIOMS. , I. THINGS which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal.** HI. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the... | |
| Euclides - 1865 - 402 pages
...any centre, at any distance from that centre. AXIOMS. L Things -which are equal to the same thing, **are equal to one another. II. If equals be added to equals, the wholes are equal.** in. If equals he taken from equals, the remainders are equal. IV. If equals he added to nnequals, the... | |
| Robert Potts - 1868 - 434 pages
...be produced to any length in a straight line. m. AXIOMS. I. THINGS which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equaL IV. If equals be added to unequals, the wholes are unequal.... | |
| Euclides - 1871 - 136 pages
...are the Postulates, to geometrical magnitudes. AXIOMS. I. Things which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals and unequals be added together, the wholes... | |
| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...propositions are called axioms. They are the following : — I. Magnitudes which are equal to the same, **are equal to one another. II. If equals be added to equals,** or if equals be added to the same, the sums will be equal. III. If equals be taken from, equals, or... | |
| Henry Major - Student teachers - 1873 - 592 pages
...be described from any centre, at any distance from that centre. AXIOMS. I. Things equal to the same **are equal to one another. II. If equals be added to equals, the wholes** ar« equal. III. If equals be taken from equals, the remainder* are equal. IV. If equals be added to... | |
| |