 | 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 - 588 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... | |
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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. 
