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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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...are equal (Ax. 1) to one another. Therefore the straight line AL is equal to the straight line B С. Wherefore from the given point A, a straight line AL has been drawn equal to the given straight line B С. QEF The construction of this problem might be improved thus:— Join AB. Upon AB describe the...
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Milner refuted; or, Pious frauds exemplified in dr. Milner's 'End of ...

Charles Hastings Collette - 1856
...us in our last agonies," and that we may expire in peace with them ! In theology, as in mathematics, "things that are equal to the same are equal to one another." Mary and Joseph are placed in our affection on a level with Jesus, the second person of the Holy Trinity;...
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Trees and Their Nature: Or, The Bud and Its Attributes: in a Series of ...

Alexander Harvey - 1856 - 236 sider
...generation possible ne sont point encore parvenus a en faire voir une seule instance." — BABON CUTIEB. " Things that are equal to the same are equal to one another." — EUCLID. June 2, 1855. MY DEAR SONS, 1. I had not space in the preceding letter to consider the...
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A second letter to the archbishop of Canterbury, being an exposure of W ...

Charles Stephen Grueber - 1856
..."outward sign" are equivalent to the " outward part," and therefore to one another, by the common axiom, " Things that are equal to the same are equal to one another." It is true that the term was improperly used by Romanists, as also was " Sign," but it is equally true...
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Notes to Aristotle's Ethics

William Edward Jelf - 1856 - 231 sider
...¿v pавiц1атiкois fo-^arov тpiyшvov,) hence termed aHrÖijo-is ; such as in mathematics, " Things that are equal to the same are equal to one another." In morals, apart, of course, from religion, the generalised facts thus perceived are, from our inability...
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The Christian remembrancer; or, The Churchman's Biblical ..., Volum 33

1857
...illustration of this, we ask the reader to compare together his two views of the following truths: — Things that are equal to the same are equal to one another ; and — the force of gravity varies inversely as the square of the distance. Mr. Solly, in treating...
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The Works of Francis Bacon, Volum 4

Francis Bacon - 1858
...distributive, if unequals be not given VOL. IV. z to unequals there is the greatest injustice.1 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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Sea-side Studies at Ilfracombe, Tenby, the Scilly Isles, & Jersey

George Henry Lewes - 1858 - 414 sider
...variation." And Dr Alexander Harvey reminds us on GEMMATION AND GENERATION. 309 this point, that " things that are equal to the same, are equal to one another ;" so that if the product of the bud and the product of the seed be in all respects identical, there...
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MANUAL OF THE ANATOMY AND PHYSIOLOGY OF THE HUMAN MIND

REV. JAMES CARLILE - 1859
...the axioms of mathematics depend on our cognitions of matter and space. Those that do not, such as " Things that are equal to the same are equal to one another," or more generally, "Things that are like the same in any particular are like one another in that particular,"...
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The Works, Volum 4

Francis Bacon - 1858
...distributive, if unequals be not given VOL. IV. Z to unequals there is the greatest injustice. 1 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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