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" AB; but things which are equal to the same are equal to one another... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 7
av Euclides - 1853
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The Contemporary Review, Volum 15

1870
...properties as emotion we shall not only have established points of resemblance between the two (for things which are equal to the same are equal to one another), but we shall have actually reached the common ground, or kind of border-land, upon which internal emotion...
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New Theories and the Old Faith: A Course of Lectures on Religious Topiecs of ...

James Allanson Picton - 1870 - 227 sider
...must owe something to each of these. Let it be granted for instance that the universal judgment, " things which are equal to the same are equal to one another," is not merely suggested but learned by experience. Still, the fact that experience takes this form...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...will not meet, however far they may be produced). To prove this we must know, — 1 . That magnitudes which are equal to the same are equal to one another. (Ax. I.) 2. That if two straight lines intersect one another, the vertically opposite ^/s are equal. (Prop....
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Euclid's Elements of Geometry

Euclid - 1872 - 261 sider
...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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Faith and Free Thought: A Second Course of Lectures Delivered at the Request ...

Christian evidence society, Samuel Wilberforce - 1872 - 468 sider
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...
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The Principles of Psychology: Special analysis. General analysis. Corollaries

Herbert Spencer - 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 ...

Henry Major - 1873
...triangle. Because 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...which are equal to the same are equal to one another; therefore CA is equal to CB ; wherefore CA, AB, BC, are equal to one another; and the triangle ABC...
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The Mystery of Matter, and Other Essays

James Allanson Picton - 1873 - 492 sider
...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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Medical Press and Circular, Volum 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, Volum 2

Herbert Spencer - 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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