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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Side 8
av Joseph Fenn - 1769
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be drawn from any one point to any other point. "When we consider a straight line contained between two fixed points which are its ends, such a portion...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 sider
...less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be drawn from any one point to any other point. When we consider a straight line contained between two fixed points which are its ends, such a portion...
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The Elements of Geometry

George Bruce Halsted - 1886 - 366 sider
...center and radius.) Join a point C, at which the circles cut one another, to the points Aandfi. (.100. A line may be drawn from any one point to any other point.) Then will ABC be an equilateral triangle. PROOF. Because A is the center of O BCD, .-. AB = AC, being...
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The Passenger from Scotland Yard

H. Freeman Wood - 1888 - 398 sider
...line equal to BC. From the point A to B draw the straight line AB. Postulate 1 says that a straight line may be drawn from any one point to any other point ; so that I at once go on to describe upon it the equilateral triangle DAB., producing the straight...
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First and Fundamental Truths: Being a Treatise on Metaphysics

James McCosh - 1889 - 360 sider
...in the propositions founded on them, such as the following, put in the form of maxims : "A straight line may be drawn from any one point to any other point ; " "A straight line may be produced to any length in a straight line ; " " There may be such a figure...
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The Philosophy of Necessity: Or, Law in Mind as in Matter

Charles Bray - 1889 - 407 sider
...which hath no magnitude." " A line is length without breadth." " Let it be granted that a straight line may be drawn from any one point to any other point," that is, from that which has no parts and no magnitude, to that which has no parts and no magnitude...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 393 sider
...converse of the typical theorem in (42). POSTULATES. 45. Let it be granted — 1 . That a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any distance in a straight line. 3. That a circle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...straight line joining two of its opposite angles. POSTULATES.1 Let it be granted :— 1. That a Straight Line may be drawn from. any one point to any other point. 2. That a Terminated Straight Line may be produced to any length in a straight line. 3. And that a...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...in common without having all intermediate points in common. Post. Let it be granted that a straight line may be drawn from any one point to any other point. Note — When we draw a straight line from a point A to a point B, we are said to 'join AB' ; and for...
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Science and Industry: 1898-99, Volum 3

1899
...— THK THEORY or INVERSION — PE.UTELLIER'S EXACT MECHANISM. three postulates are: "I. A Ly right line may be drawn from any one point to any other point." "II. A terminated right line may he produced to any length in a right line." " III. A circle may be...
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