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" BG; and things that 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 has been drawn equal to the given straight line BC. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 19
av Euclid, John Playfair - 1826 - 320 sider
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

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...
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The Passenger from Scotland Yard

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...
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The Midland Naturalist: The Journal of the "Midland Union of ..., Volumer 11-12

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...
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The Prevention of Measles

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...
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The Hereafter: Sheol, Hades and Hell, the World to Come, and the Scripture ...

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...
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A new theory of parallels

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...
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Passiontide Sermons

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...
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The Writings of Alexander Campbell: Selections Chiefly from The Millennial ...

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,...
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Square Pegs

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...
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The Philosophical Works of Francis Bacon

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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