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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Σελίδα 5
των Euclides - 1849
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 σελίδες
...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...

An introduction to mental philosophy

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...

Orr's Circle of the Sciences: The mathematical sciences

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...

Orr's Circle of the Sciences: Organic nature, v.1] The principles of physiology

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...

The Principles of Animal and Vegetable Physiology: A Popular Treatise on the ...

John Stevenson Bushnan - 1854 - 234 σελίδες
...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...

Troubles of the English Church 1859-72, examined in a selection from ...

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...

The Pilot, a journal of religion, politics, literature and art

...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...

In the beginning, remarks on certain modern views of the Creation

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...

Elements of geometry, based on Euclid, book i

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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