| John Campbell - 1851 - 566 páginas
...Asiatics, the utter destruction of all biblical chronology by this process would be another. " Now, ' **things which are equal to the same are equal to one another.'** If they are anterior to Shoopho's pyramid in Egypt, then Meroe must have been occupied in the earliest... | |
| Euclides - 1852 - 152 páginas
...the circle ACE, BC is equal to BA. But it has been proved that AC is equal to AB ; therefore AC, BC **are each of them equal to AB ; but things which are equal to the same are equal to one** 4 I Axiom. another d therefore AC is equal to BC ; wherefore AC, AB, BC are equal to one another; and... | |
| 1858 - 422 páginas
...have a gayer or gladder aspect. Mr. Smith's only justification here is a mathematical one : that as **things which are equal to the same are equal to one another,** and both blossoms and tears have been likened to a shower of rain, therefore blossoms may always be... | |
| Euclides - 1852 - 48 páginas
...a circle may be described from any centre, with any distance from that centre as radius. AXIOMS. 1. **Things which are equal to the same, are equal to one another.** 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
| 1852 - 588 páginas
..."Yes." " And the three baskets three days too?" "Yes." Well, thought I, if it be a true axiom that **things which are equal to the same are equal to one another,** then a grape vine and a basket are identical ! So, finding the rabbinical logic of this poor deluded... | |
| Euclides - 1853 - 176 páginas
...circle bСd, aС is equal (15 def.) to ab; and because the point b is the centre of the circle ace, **bc is equal to ba : but it has been proved that ca...which are equal to the same are equal to one another** (1 ax.); therefore ca is equal to cb; wherefore ca, ab, bc are equal to one another; and the triangle... | |
| Royal Military Academy, Woolwich - 1853 - 400 páginas
...BCD, AC is equal (15 Definition) to AB; and because the point B is the centre of the circle ACE, EC **is equal to BA : But it has been proved that CA is...which are equal to the same are equal to one another** (1 Axiom) ; therefore CA is equal to CB ; wherefore CA, AB, BC are equal to one another; and the triangle... | |
| Robert Potts - 1868 - 434 páginas
...CE, therefore .BCis equal to AB; but it has been proved that AC is equal to AB ; therefore AC, .BC **are each of them equal to AB ; but things "which are equal to the same** thing are equal to one another ; therefore .4 C is equal to BC; (ax. 1.) wherefore AB, BC, CA are equal... | |
| 1868 - 254 páginas
...: it must always have been true that " truth is a virtue," as it must always have been true that " **things which are equal to the same are equal to one another."** And if moral or mathematical truth is thus co-eternal with God, it cannot be something independent... | |
| Mildmay conference - 1880 - 274 páginas
...another. I would remind you of an expression which I made use of in prayer on this platform this week — **"Things which are equal to the same are equal to one another."** If then we are equally like Jesus, we shall be like one another. Thus shall we learn to love one another,... | |
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