| Euclides - 1845 - 544 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.... | |
| Scottish school-book assoc - 1845 - 434 pages
...unequals, the sums are unequals. 5. If equals be taken from unequals, thé remainders are unequals. 6 **Things which are double of the same, or equal things, are equal** to one another. 7- Things which are halves of the same, or equal things, are equal to one another.... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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....are double of the same, or equal things, are equal** to one another. VII. Things which are halves of the same, or equal things, are equal to one another.... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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....are double of the same, or equal things, are equal** to one another. VII. Things which are halves of the same, or equal things, are equal to one another.... | |
| Euclides - 1846 - 292 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. vni. Magnitudes... | |
| Euclides - 1848 - 52 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.... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...are equal to the same thing, are equal to each other. II. When equals are added to equals, the whole **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. POSTULATES. I. To draw a straight line from any one point to... | |
| Euclides - Geometry - 1853 - 176 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 - 1855
...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.... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...completely determined by the arithmetical method as by the more lengthy method of the Greek geometers. **AXIOMS. I. Things which are equal to the same thing,...identical. X. All right angles are equal to one another.** XI. A straight line is the shortest distance between two points. XII. Through the same point only one... | |
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