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Books Books 111 - 120 of 186 on AB; but things which are equal to the same are equal to one another....
" AB; but things which are equal to the same are equal to one another... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Page 12
by John Playfair - 1837 - 318 pages
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Euclid's Elements of Geometry

Euclid, Thomas Elrington - Geometry - 1872 - 261 pages
...3. That a circle can be described from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes will be equal. 4. If to unequals, equals be added, the...
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The Principles of Psychology: Special analysis, general analysis, corollaries

Herbert Spencer - Psychology - 1872
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — "Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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The acting teacher's and student's in training guide and text book for ...

Student teachers - 1873
...A is the centre of BCD, AC is equal to AIj ; and because B is the centre of ACE, BC is equal to BA, but it has been proved that CA is equal to AB ; therefore CA, CB, are each of them equal to AB , but things which are equal to the same are equal to one another; therefore CA is equal to CB ; wherefore...
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Journal of the Transactions of the Victoria Institute, Or ..., Volume 6

Religion and science - 1873
...Here again the word is psyche, but containing all the attributes of kardia. The inference is obvious : things which are equal to the same are equal to one another. While we may freely admit that, in the terms of a language, this principle will not rigidly apply,...
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The Mystery of Matter, and Other Essays

James Allanson Picton - Pantheism - 1873 - 492 pages
...because the single case is not, and cannot be, adequately presented to it. For the universal truth, that things which are equal to the same are equal to one another, cannot be seen in any case until the notion of equality has been acquired. But this notion again never...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — "Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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London Medical Press and Circular, Volume 67

1873
...than are producible from the deai Now let us turn to the logical and physical side of the question. Things which are equal to the same are equal to one another, and if equals be added to equals the whole are equal. Anatomy teaches us that there is no difference...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — "Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Charles Mansford - 1874
...AB. [Def. 15.] And because the point B is the centre of the circle ACE, BC is equal to BA. [Def. 15.] But it has been proved that CA is equal to AB; therefore CA, CB are each of them equal to AB. But things which are equal to the same thing are equal to one another; [Ax. i.] therefore CA is equal...
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The philosophy of voice

1874 - 72 pages
...living subject than are producible from the dead. Let us turn to the logical side of the question. Things which are equal to the same are equal to one another. Anatomy teaches us that there is no difference between the male and female larynx save in size, so...
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