Cardinal points

Definitions

  • Webster's Revised Unabridged Dictionary
    • Cardinal points (Geol) The four principal points of the compass, or intersections of the horizon with the meridian and the prime vertical circle, north, south east, and west.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: The word 'News' is actually an acronym standing for the 4 cardinal compass points - North, East, West, and South
    • Cardinal points the four chief points of the compass—north, south, east, and west
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Etymology

Chambers's Twentieth Century Dictionary
Fr.—L. cardinaliscardo, cardinis, a hinge.

Usage

In literature:

It is oriented approximately to the cardinal points and was terraced southward to secure a sunny exposure.
"The Book of the National Parks" by Robert Sterling Yard
And these were set with consummate accuracy at the cardinal points.
"The Watchers of the Plains" by Ridgewell Cullum
In that way there are four cardinal points.
"The Boy Volunteers with the Submarine Fleet" by Kenneth Ward
A pointed bodice of cardinal-colored velvet folds the slender form and loose sleeves cover the arms.
"Lafayette" by Martha Foote Crow
It's the most spiritual thing on earth: in fact it's the cardinal point in the country gentleman's faith.
"Years of Plenty" by Ivor Brown
Eight streets lead from the plaza, two in the direction of each cardinal point.
"Incidents of Travel in Yucatan, Vol. I." by John L. Stephens
It is twenty-two feet in diameter, and has four small doorways facing the cardinal points.
"Incidents of Travel in Yucatan, Vol. II." by John L. Stephens
Hence it is a rational soul, and this is a point of cardinal importance in connexion with the Stoic ethics.
"A Critical History of Greek Philosophy" by W. T. Stace
Yet from the point of view of charity it is cardinal to the whole issue.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 8" by Various
The visualizer should keep one cardinal point in mind.
"From Xylographs to Lead Molds; A.D. 1440-A.D. 1921" by H. C. Forster
The other cardinal points are marked with letters.
"On the magnet, magnetick bodies also, and on the great magnet the earth" by William Gilbert of Colchester
Reference to some of the cardinal points in a single charter will give the reader a clue to them all.
"Sages and Heroes of the American Revolution" by L. Carroll Judson
Presumably the extremities of these streets pointed to the four cardinal points.
"Cathedral Cities of England" by George Gilbert
The cardinal points on which these two systems essentially differ are the beginning and the end of living beings.
"The Life or Legend of Gaudama" by Right Reverend Paul Ambroise Bigandet
Bacon did not trouble himself about theological questions and cardinal points.
"The Ego and His Own" by Max Stirner
A friendly alliance with a relatively weak Sweden was the cardinal point of Bernstorff's policy.
"Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 6" by Various
The eldest ascended a mountain, and flung stones towards the four cardinal points, which was his way of taking possession of all the land.
"Lectures on the Origin and Growth of Religion as Illustrated by the Native Religions of Mexico and Peru" by Albert Réville
On the arrival of Cardinal Otho (1237) the archbishop found himself thwarted and insulted at every point.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 10" by Various
Cardinal Fisher gives another reason for Purgatory being then developed out of earlier points of faith.
"An Essay on the Development of Christian Doctrine" by John Henry Cardinal Newman
The cardinal points are accurately distinguished.
"Algic Researches, Comprising Inquiries Respecting the Mental Characteristics of the North American Indians, Vol. 1 of 2" by Henry Rowe Schoolcraft
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In news:

Re-watched the Patriots-Cardinals game on Monday, and one point of emphasis was trying to get a better feel for the plays that Julian Edelman was on the field over Wes Welker.
Fahrenthold quoted me in his May 23 Metro article " Rachel Carson Bill From Cardin on Hold" but misunderstood my point.
A Turning Point For the Cardinals.
After Louisville's 61-55 win over Seton Hall, Dana O'Neil caught up with Cardinals guard Peyton Siva , who had 14 points and three assists against the Pirates.
Tyler Mitchell hit two 3-pointers and Mitchell Maycock one to account for all nine points in the second overtime as the Cardinals (2-1) edged Salamanca (3-1), 76-75.
(AP) — The Arizona Cardinals have one of the NFL's worst offenses, injuries and ineptitude preventing them from running the ball effectively, protect the quarterback or score more than a handful of points.
Photos by Derrick Mahone Jonesboro point guard Daniel Peace is being counting to help lead the Cardinals back to the Class AAAA semifinals for a third straight season.
In training camp, the Cardinals pointed to Patrick Peterson as a player destined for greatness.
Perhaps the most remarkable aspect of the Arizona Cardinals' free-fall into oblivion is that they were 4-0 at one point this season.
The Cardinals registered their remaining points in the third quarter.
Parker finished with 12 points in the Cardinals' 72-58 victory.
The Cardinals (1-2) had nine players score led by Taylor Helms' nine points.
When Cardinals GM John Mozeliak was hiring a manager a little over a year ago he said it point blank.
Down by only two points early in the second quarter, the Cardinal Mooney boys basketball team looked to have survived an early surge from host Tampa Berkeley Prep.
8 games OVER.500 and are just percentage points out of 1st place (as I am typing this, the Mets are trailing the Cardinals 5-4 in a day game at Citi Field).
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In science:

If for some large cardinal axiom φ, Sφ is inconsistent then everything we have said so far gets into a better position from one point of view and in a devastating position from another.
Descriptive inner model theory
The construction also gives a canonical embedding IP(P ) ֒→ IP|P |−1 , where |P | is the cardinality of P ∩ M , and the coordinates of IP|P |−1 are identified with the points of P ∩ M .
Mirror Symmetry Constructions: A Review
If A is a subset of X having regular uncountable cardinality, then A has a limit point x every neighbourhood of which meets A in a set having the same cardinality.
Problems from Topology Proceedings
Arhangel′ski˘ı) What are the possible cardinalities of Lindel¨of T2 spaces with points Gδ ? Notes. A.V.
Problems from Topology Proceedings
Arhangel′ski˘ı raised the question of the cardinalities of Lindel¨of T2 spaces with points Gδ and proved that there are none of cardinality greater than or equal to the first measurable cardinal . S.
Problems from Topology Proceedings
In , Tall wrote: “Little more is known: perhaps it is consistent (probably assuming large cardinals) that Lindel¨of spaces with points Gδ must have cardinality ≤ 2ℵ0 or of countable cofinality.
Problems from Topology Proceedings
Pol’s proof of Arhangel′ski˘ı’s theorem (every first countable compact Hausdorff space has cardinality at most c) can be adapted here, replacing points by Gδ sets. B14. (R.
Problems from Topology Proceedings
Is there, in ZFC, a regular Lindel¨of space of countable pseudocharacter (i.e., points Gδ ) and cardinality > c? Notes.
Problems from Topology Proceedings
Recall that a space Y is said to be linearly Lindel¨of if every uncountable set of regular cardinality has a point of complete accumulation in Y .
Problems from Topology Proceedings
If r = p/q is a rational function of degree n > 1, then the set of points for which z = r(z ) and |r ′ (z )| ≤ 1 has cardinality at most 2n − 2.
On the number of zeros of certain rational harmonic functions
Sequences of the form rm arise as the cardinalities of sets of periodic points for toral endomorphisms.
Cyclic Resultants
For an ergodic toral endomorphism as in the introduction, sequences |rm | correspond to cardinalities of sets of periodic points.
Cyclic Resultants
Here cX ∈ CX is the n-fold R-tensor product, where n is the cardinality of X , sition with V( /0)). A coalgebra C over an operad V is called pointed if it has a unique grouplike element (denoted 1), and pointed irreducible if the intersection of any two sub-coalgebras contains this unique group-like element.
Cofree coalgebras over operads II Homology invariance
Let Z, T be finite col lections of distinct points of the same cardinality, having al l points but one in common (in other words |Z | = |T | = n and |Z ∩ T | = n − 1).
Castelnuovo theory and the geometric Schottky problem
We believe that the notion of very reasonable ultrafilters is the right re-interpretation of being a P –point in the setting of “very non-normal ultrafilters” on an uncountable regular cardinal λ.
The combinatorics of reasonable ultrafilters
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