Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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. "
The London Magazine - Page 455
by John Scott, John Taylor - 1827
Full view - About this book

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...But it has been shewn that BC is equal to BG; therefore AL and BC are each of them equal to BG : And things which are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL...
Full view - About this book

An Historical and Critical View of the Speculative Philosophy of ..., Volume 1

J. D. Morell - Philosophy - 1847
...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...
Full view - About this book

General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848
...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...
Full view - About this book

Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...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...
Full view - About this book

The Reasoner, Volume 6

Secularism - 1849
...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...
Full view - About this book

Reports of Cases in Law and Equity in the Supreme Court of the ..., Volume 3

New York (State). Supreme Court, Oliver Lorenzo Barbour - Law reports, digests, etc - 1849
...uninfluenced by the demonstration of the simplest problem in Euclid, and to which the axiom, " that things which are equal to the same are equal to one another," would be too abstruse for comprehension. The judgment and the note were familiar. and their relation...
Full view - About this book

Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - Teaching - 1849 - 184 pages
...which many of them would turn to a good purpose. Even a knowledge of the axioms of Euclid, such as " things which are equal to the same are equal to one another." If equals be added to equals the wholes are equal. If equals be added to unequals, the wholes are unequal,...
Full view - About this book

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...BA: But it has been proved that CA is equal to AB; therefore CA, CB are each of them equal to AB; but things which are equal to the same are equal to one another (Axiom 1.) ; therefore CA is equal to cu; wherefore CA. AB, BC are equal to one another; and the triangle...
Full view - About this book

A Manual of Logic: Deductive and Inductive

H. H. Munro - Logic - 1850 - 237 pages
...the basis on which the syllogism is founded. They bear some analogy to the mathematical axioms : — Things which are equal to the same are equal to one another, and things of which one is equal and the other not equal to the same, are not equal to one another....
Full view - About this book

The Works of Francis Bacon, Lord Chancellor of England, Volume 3

Francis Bacon - 1850
...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....
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF