| Francis Bacon - 1841
...similar to that of music termed the declining of a cadence. Again ; the mathematical postulate, that " **things which are equal to the same are equal to one another,"** is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.... | |
| Euclides - 1842
...POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. **That a terminated straight line may be produced to any length in a straight line. III.** That a circle may be described from any centre, at any distance from that centre. IV. [Ax. XI.] V.... | |
| John Playfair - 1842 - 317 sider
...POSTULATES. 1. LET it be granted that a straight line may be drawA from any one point to any other point. 2. **That a terminated straight line may be produced to any length in a straight line.** 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1.... | |
| T H. Howe - 1842
...point within the circle which is thus equally distant from the circumference, is called the Centre. HA **Circle may be described from any centre, at any distance from that centre.** Illustration. The sensible horizon, or circular boundary, which every individual, standing in a clear... | |
| Philip Kelland - 1843 - 147 sider
...I propose to take up the same subject, and inquire, for the sake of precision, whether the truth, " **things which are equal to the same are equal to one another,"** is demonstrable or not. If it be an immediate consequence of our conception of equality, then is it... | |
| James Bates Thomson - 1844 - 237 sider
...enumerate three postulates. 1. That a straight line may be drawn from any one point, to any other point. 2. **That a terminated straight line may be produced to any length in a straight line.** 3. That any circle may be described from any centre, at any distance from that centre. PROBLEM XVI.... | |
| George Robins Gliddon - 1844 - 66 sider
...Asiatics, the utter destruction of all biblical chronology by thia process would be another. Now, " **things which are equal to •the same are equal to one another." If** they are anterior to Shoopho's pyramid in Egypt, then Weroe must have been occupied in the earliest... | |
| Francis Bacon - 1844 - 336 sider
...similar to that of music termed the declining of a cadence. Again ; the mathematical postulate, that " **things which are equal to the same are equal to one another,"** is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.... | |
| Euclid - 1845 - 199 sider
...POSTULATES. I. Let it be granted that a straight line may be drawn from any one point to any other point. II. **That a terminated straight line may be produced to...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... | |
| Euclides - 1845
...POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. II. **That a terminated straight line may be produced to...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... | |
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