 | John Campbell - 1851 - 566 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
..."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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...: 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 Seiten
...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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AB; but things which are equal to the same are equal to one another... 
