 | 1847 - 602 pages
...proved by the use of axioms in the form of propositions, that is not itself evident. The axiom, that things which are equal to the same are equal to one another, is not the proof that A and B, being equal to C, are themselves equal. The latter truth, which is particular,... | |
 | John Daniel Morell - Philosophy, Modern - 1846 - 524 pages
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " things which are equal to the same are equal to one another," never suggests itself to a child's mind. and yet as soon as reason is developed enough to observe equality,... | |
 | Euclides - 1847 - 128 pages
...Let it be granted, 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 : and 3. That a circle may be described from any centre, at any distance from that centre. A postulate... | |
 | J. D. Morell - Philosophy, Modern - 1847 - 632 pages
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " things which are equal to the same are equal to one another," never suggests itself to a child's mind ; and yet as soon as reason is developed enough to observe... | |
 | Euclides - 1848 - 52 pages
...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. HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I.... | |
 | Bengal council of educ - 1848 - 394 pages
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " things which are equal to the same are equal to one another," which can equally well be applied to logic, thereby insinuating that the observations of " philosophia... | |
 | Bengal (India) - 1848 - 520 pages
...but belong to a higher and larger science. As examples of such axioms he gives that of mathematics, " things which are equal to the same are equal to one another," which can equally well be applied to logic, thereby insinuating that the observations of "philosophia... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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. m. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i.... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight lin.e may be produced to any length in a straight line. 3. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
 | Secularism - 1849 - 424 pages
...be paid as well as yours, and I should have dŁ20,000 a-year instead of 4s. a-day; becanse you see things which are equal to the same are equal to one another.' The Spectator, of April 28, 1849, says — '"Genins" consists in a special capacity for some particular... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
