| Euclides - 1885
...sum of the angles CBE, EBD is equal to the sum of the three angles CBE, EBA, ABD. And things which **are equal to the same are equal to one another. Therefore the** sum of the angles CBA, ABD is equal to the sum of the angles CBE, EBD ; but CBE, EBD are right angles... | |
| H. Freeman Wood - 1888 - 398 sider
...each of them equal to BG. And as things which are equal to the same thing are equal to one another, **AL is equal to BC; wherefore, from the given point...been drawn, equal to the given straight line BC."** Inspector Byde surveyed his handiwork with approbation, and added, most conscientiously, "QEF" He also... | |
| Edward W. Badger, William Hillhouse - 1888
...what process of experiment do you proceed to prove an axiom such as that expressed by the words, " **Things that are equal to the same are equal to one another** ? " It cannot be done, as at every step of the proof it is taken for granted ; presuming that physical... | |
| C. Candler - 1889 - 381 sider
...by inoculation •with the blood, it follows — if the proposition holds good in bacteriology that **things that are equal to the same are equal to one another** — that bacteroid forms occur in the organism after inoculation with straw fungi. I conceive that... | |
| James Fyfe - 1890 - 407 sider
...moment. They both derive all their force from their mother, aevum, ever ; and there is an old axiom : **Things that are equal to the same are equal to one another.** In early Greek, as in Attic still, alan> (aion) signifies the duration of human life, course or term... | |
| Lewis Carroll - 1890
...Physiology rather than in Geometry. The 47th Proposition of Euclid is quite as true as the Axiom ' **things that are equal to the same are equal to one another** ' ; but the average human intellect, while accepting the latter without proof, does most certainly... | |
| Henry Parry Liddon - 1891 - 299 sider
...mayest lie " ? " Thou mayest do murder " ? We cannot, any more than we can conceive His denying that **things that are equal to the same are equal to one another.** The very mind and soul which He has given us bears indelibly impressed on it His Moral Truth, just... | |
| Alexander Campbell, W. A. Morris - 1896 - 621 sider
...effect of the Spirit mean the same thing, for water means the Spirit and the effect of the Spirit; **and things that are equal to the same are equal to one another!** What does not the phrase, "born of water," mean i. It is equal to bom of fire, born of like as of fire,... | |
| Adeline Dutton Train Whitney - 1899 - 507 sider
...and Miss Anne Soforth. In the same way that she reached up, why might she not reach down and along? **Things that are equal to the same are equal to one another.** Anchored to this axiom she swung out on a long cable. She drove about merrily everywhere and had a... | |
| 1905
...whereas in distributive, if unequals be not given to unequals there is the greatest injustice 2 . Again " **things that are equal to the same are equal to one another,"** is likewise a rule of mathematics ; but it is at the same time so potent in logic as to be the basis... | |
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