| Royal Military Academy, Woolwich - 1853
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre, at any distance from that centre. AXIOMS.** 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the... | |
| Euclid, John Playfair - 1853 - 317 sider
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre, at any distance from that centre.** v • ,V AXIOMS. 1 . THINGS which are equal to the same thing are equal to one another. 2. If equals... | |
| sir George Ramsay (9th bart.) - 1853
...intervention of any general axiom, that the side AB is equal to the side A C. The general axiom, that **things which are equal to the same are equal to one another,** cannot make the conclusion one whit more evident than it was before. We see at once from the particular... | |
| William Somerville Orr - 1854
...other point. ii. That a terminated straight line may be prolonged to any length in a straight line. **And that a circle may be described from any centre, at any distance from that centre.** Things which are equal to the same thing are equal to one another. If equals be added to equals, the... | |
| John Stevenson Bushnan - 1854 - 234 sider
...truths — also such propositions as that, when equals are taken from equals, equals remain ; that **things which are equal to the same are equal to one another** ; that things which are doubles or halves of the same, are equal to one another; that twice four are... | |
| William Somerville Orr - 1854
...truths — also such propositions as that, when equals are taken from equals, equals remain ; that **things which are equal to the same are equal to one another** ; that things which are doubles or halves of the same, are equal to one another ; that twice four arc... | |
| ...Apostolic, it necessarily followed that they were in agreement with each other ; for it ia an axiom that **things which are equal to the same, are equal to one another.** But a time came when this form of Church Government was abandoned, first by one Church and then by... | |
| Thomas Hervey - 1876
...Paganism are identical ; another, that our Book of Common Prayer is Roman, and our clergy Romanizers. **Things which are equal to the same are equal to one another,** therefore our clergy are pagans. The absurdity of such a conclusion does not strike the writers ? or... | |
| Richard Hill Sandys - 1876
...neither of the other supposed Evangelists ever wrote anything to quote from, and- that consequently, as **things which are equal to the same are equal to one another,** none of the alleged Gospels are either true or authentic." One need not be careful here in reference... | |
| Edward Atkins - 1877
...other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. **And that a circle may be described from any centre, at any distance from that centre. Axioms.** 1. Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
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