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" A POSTULATE is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any length. 3. That a straight line may be drawn through a given point parallel to another... "
An Introduction to the Elements of Science - Page 24
de St. George Jackson Mivart - 1894 - 392 pages
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 pages
...part. 7. The whole is equal to the sum of the parts into which it is divided. POSTULATES. 1. Grant that a straight line may be drawn from one point to another. 2. And that it may be either increased till it be equal to a greater straight line, or diminished till...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 pages
...to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged, in a straight line, to any length. 3. That...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 pages
...to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged. in a straight line, to any length. 3. That...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 pages
...axiom is more general than the postulate. The following are some of the postulates of Geometry : 1. A straight line may be drawn from one point to another. 2. A limited straight line may be prolonged to any length. 3. A limited straight line may be bisected,...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - 1857 - 442 pages
...one to the other, coincide throughout their whole extent, are equal POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged, iu a straight line, to any length. 3. That...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 pages
...their whole extent, are equal. POSTULATES. 35. A POSTULATE is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any length. 3. That a straight line may be drawn through a given point...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 pages
...their whole extent, are equal. POSTULATES. 35. A POSTULATE is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That. a straight line may be produced to any length. 3. That a straight line may be drawn through a given point...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 pages
...their whole extent, are equal. POSTULATES. 35. A POSTULATE is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any length. 3. That a straight line may be drawn through a given point...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 pages
...their whole extent, are equal. POSTULATES. 35. A POSTULATE is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any length. 3. TJiat a straight line may be drawn through a given...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 pages
...their whole extent, are equal. POSTULATES. 27. A Postulate is a self-evident problem ; such as, — 1. That a straight line may be drawn from one point to another. 2. That a straight line may be produced to any length. 3. That a straight line may be drawn through a given point...
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