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...we endeavour to prove any one proposition in geometry, if we will not admit such truths, as that ' things which are equal to the same are equal to ' one another,' — and yet we must admit these without proof. Theme truths are taken for granted in every particular...

...the Bermudas, and of 1 in 28 for the Mediterranean. Now, if we take into consideration the axiom that things which are equal to the same are equal to one another ; it follows that, in climates more or less similar, pneumonia and pleurisy together present a remarkable...

...pressure is " equal to the square of the time or velocity of the ascent." I learned at gchool, that " things which are equal to the same are equal to one another" (Euclid's Elemeuts, book 1); aud here we have a pressure equal to a double weight, and also equal to...

...identical is not to say that vital forces are in reality physical." Now it has always been considered that things which are equal to the same are equal to one another, and certainly, as a natural deduction from that truism, we may, with equal truth, say things which...