| George Roberts Perkins - Geometry - 1860 - 468 pages
...are equal to the same thing, are equal to each other. II. When equals are added to equals, the wholes **are equal. III. "When equals are taken from equals,...coincide, or fill the same space, are identical. X. All** right angles are equal to one another. XI. A straight line is the shortest distance between two points.... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...remainders are equal. IV. • If equals be added to unequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. VII. Things which are halves of the same, are equal to one another. VEIL... | |
| Euclides - 1862 - 172 pages
...the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII.... | |
| Euclides - 1864 - 448 pages
...the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes... | |
| Euclides - 1865 - 402 pages
...the remainders are equal. IV. If equals he added to nnequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII.... | |
| Robert Potts - 1865 - 528 pages
...the remainders are equal IV. If equals be added to unequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. vn. Things which are halves of the same, are equal to one another. vm. Magnitudes... | |
| Robert Potts - 1868 - 434 pages
...the remainders are equaL IV. If equals be added to unequals, the wholes are unequal. V. If equals be **taken from unequals, the remainders are unequal. VI. Things which are double of the same,** are equal to one another. VII. Things which are halves of the same, are equal to one another. VEIL... | |
| Euclides - 1871 - 132 pages
...added together, the wholes are unequal. V. If equals be taken from unequals, or unequals from equals, **the remainders are unequal. VI. Things which are double of the same** thing are equal to one another. VII. Things which are halves of the same thing are equal to one another.... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 372 pages
...added together, the wholes are unequal. V. If equals be taken front unequals, or unequals from equals, **the remainders are unequal. VI. Things which are double of the same** thing are equal to one another. VII. Things which are halves of the same thing are equal to one another.... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...sums will be unequals. 5. If equals be subtracted from unequals the remainders will be unequals. 6. **Things which are double of the same or equal things are equal.** 7. Things which are halves of the same or equal things are equal. 8. The whole is equal to the sum... | |
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