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" 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. "
A New Encyclopedia of Freemasonry - Էջ 33
Arthur Edward Waite - 2013 - 508 էջ
Մասամբ դիտվող - Այս գրքի մասին

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 էջ
...magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. That those things which are equal to the same are equal to one another, is a most evident axiom when understood of magnitudes ; yet Euclid does not make use of it to infer...
Ամբողջությամբ դիտվող - Այս գրքի մասին

The Monthly Anthology, and Boston Review, Հատոր 5

David Phineas Adams, Samuel Cooper Thacher - 1808
...confound our two articles. " In the Celtic" says he, " the article an signifies the and that." But as things, which are equal to the same, are equal to one another, it is easy to prove, since an means that, and //•.- means that, that an and the are in the English...
Ամբողջությամբ դիտվող - Այս գրքի մասին

The Scots Magazine and Edinburgh Literary Miscellany, Հատոր 76

1814
...the contrary, they are such 35, considered separately, do not afford room for a single inference. — That things which are equal to the same, are equal to one another, and that the whole is greater than its part, considered in themselves, are mere barren truisms. The...
Ամբողջությամբ դիտվող - Այս գրքի մասին

Easy Introduction to Mathematics, Հատոր 2

Charles Butler - 1814
...ACE, BC is equal to BA, by the \5th definition; therefore CA,.CB are each of them equal to AB ; but things which are equal to the same are equal to one another, by the 1st' axiom; wherefore CA and CB are equal to one another, being each equal to AB ; consequently...
Ամբողջությամբ դիտվող - Այս գրքի մասին

An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816
...because they divide the globe into unequal parts, called segments, as o C b and A ob B D. 2. Axioms.* 1. Things which are equal to the same, are equal to one another. * Axiom, implies a plain, self-evident troth or proposition, which is no sooner proposed but understood....
Ամբողջությամբ դիտվող - Այս գրքի մասին

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 էջ
...magnitudes, unto ratios, viz. that a magnitude cannot be both greater and less than another. That those things which are equal to the same are equal to one another, is a most.evident axiom when understood of magnitudes ; yet Euclid does not make use of it to infer,...
Ամբողջությամբ դիտվող - Այս գրքի մասին

The Oedipus Romanus; Or, An Attempt to Prove, from the Principles of ...

George Townsend - 1819 - 147 էջ
...circumstance indeed so very surprising, that if I had time to prosecute the inquiry, I might prove, that as things which are equal to the same, are equal to one another, the Patriarchs are the Caesars, and the Caesars the sons of Jacob, because they are both synonymous...
Ամբողջությամբ դիտվող - Այս գրքի մասին

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 էջ
...But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; now things which are equal to the same are equal to one another .I. Axiom) ; therefore CA is equal to CB ; wherefore CA, AB, B are equal to one another ; and the triangle...
Ամբողջությամբ դիտվող - Այս գրքի մասին

Artis logicæ rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821
...reared, and as the final appeal in argument. They benr some slight 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....
Ամբողջությամբ դիտվող - Այս գրքի մասին

The First Six Books with Notes

Euclid - 1822 - 179 էջ
...a circle may be described from any centre, /&, ff, at any distance from that centre. M o Axioms. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders...
Ամբողջությամբ դիտվող - Այս գրքի մասին




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