 | Euclides - 1845 - 546 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 - 444 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 - 128 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 - 128 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 - 270 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 - 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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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. 
