 | Euclides - 1853 - 176 sider
...one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. And that a circle may be described...centre. AXIOMS. I. Things which are equal to the same thing are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals... | |
 | Royal Military Academy, Woolwich - 1853 - 400 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. 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 - 336 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 - 282 sider
...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 - 534 sider
...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... | |
 | J. Stevenson Bushnan - 1854 - 268 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 - 422 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 arc... | |
 | 240 sider
...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 - 312 sider
...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 - 336 sider
...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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
