 | George Roberts Perkins - Geometry - 1860 - 472 pages
...determined by the arithmetical method as by the more lengthy method of the Greek geometers. AX1OMS. I. Things which are equal to the same thing, are equal...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 - 136 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 - 376 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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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. 
