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The line Af is the image of L.

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Brown Corpus

## Some Related Sentences

line and Af

in interstellar gas, concentrations as low as

__Af__molecules per__Af__may be sufficient, as compared to**the**__Af__hydrogen atom's__Af__required for detection**of****the**21-cm__line__**.**
A study

**of****the**hydrogen__line__profiles indicates that a measurement**of**these profiles can be used to calculate a temperature for**the**arc plasma that**is**reliable to about__Af__percent**.**__Af__

**is**paramagnetic, and electron paramagnetic dipole as well as nuclear dipole effects lead to

__line__broadening

**.**

**The**magnetic resonance absorption was detected by employing a Varian model

__Af__broad

__line__spectrometer and

**the**associated 12-inch electromagnet system

**.**

**The**silver chloride was fused under vacuum in

**the**presence

**of**aluminum chips with

**the**resultant product

**of**

__Af__which was sublimed into a flask on

**the**vacuum

__line__

**.**

In addition to

**the**method described in**the**section above, chlorine and radiochlorine were prepared by**the**electrolysis**of**a__Af__eutectic on**the**vacuum__line__, and by exchange**of**__Af__with molten__Af__**.**
Let N be a positive integer and let V be

**the**space**of**all N times continuously differentiable functions F on**the**real__line__which satisfy**the**differential equation__Af__where__Af__are some fixed constants**.**
Indeed,

**the**spiral__Af__, with**the**two endpoints connected by a straight__line__possesses only one inscribed square**.****The**roots

**of**this equation are just

**the**ordinates

**of**

**the**intersections

**of**

**the**graph

**of**B with a straight

__line__

**of**unit slope through

__Af__in

**the**b-plane (

**the**plane

**of**

**the**graph

**of**b )

**.**

These are defined by a simple involutorial transformation

**of****the**points in which a general__line__meets a nonsingular quadric surface bearing a curve**of**symbol__Af__**.**
A general

__line__**L**meets Q in two points,__Af__and__Af__, through each**of**which passes a unique generator**of****the**regulus,__Af__, whose lines are simple secants**of**Aj**.**
Moreover, from

**the**definitive transformation**of**intercepts on**the**generators**of**__Af__, it**is**clear that**the**only points**of**Q at which a__line__can meet its**image**are**the**points**of**Aj**.**
Moreover, if

__Af__and__Af__are two planes intersecting in a__line__l, tangent to Q at a point P,**the**two free intersections**of****the****image**curves__Af__and__Af__must coincide at P',**the****image****of**P, and at this point__Af__and__Af__must have a common tangent l'**.**

line and is

`` And if

**the**dive goes OK he has**the**exclusive import rights to your__line__for this country,__is__that right ''??
Yet within this limitation there

__is__an astonishing variety: design as intricate as that in**the**carpet or miniature, with**the**melodic__line__like**the**painted or woven__line__often flowing into an arabesque**.**
And ( D ) all action

**of**a physical kind pertinent to**the**mission__is__relegated to**the**__line__**of**men on**the**lower rank**.**
``

**The**Moral Creed '' and ``**The**Will To Risk '' live happily together, if we do not examine where**the**__line____is__to be drawn**.**
It

__is__not in**the**record, but he must have galloped his horse at Peach Tree Creek when he brought up Ward's guns to save Newton's crumbling__line__**.**
In his study Samuel Johnson, Joseph Wood Krutch takes this

__line__when he says that what Aristotle really means by his theory**of**catharsis__is__that our evil passions may be so purged by**the**dramatic ritual that it__is__`` less likely that we shall indulge them through our own acts ''**.****The**decline

**of**

**the**Cunard

__line__from its position

**of**dominance in Atlantic travel

__is__a significant development in

**the**history

**of**transportation

**.**

Hank Foiles, backed up by Frank House who will be within calling distance in

**the**minors, make up better second__line__catching than**the**Birds had all last year, but Gus__is__still that big man you need when you start talking pennant**.**
therefore, only with precise foreknowledge

**of****the**__line__frequencies__is__an astronomical search for**the**radio spectra**of**these molecules feasible**.**
No corporation engaged in commerce shall acquire, directly or indirectly,

**the**whole or any part**of****the**stock or other share capital**of**another corporation engaged also in commerce, where**the**effect**of**such acquisition may be to substantially lessen competition between**the**corporation whose stock__is__so acquired and**the**corporation making**the**acquisition, or to restrain such commerce in any section or community, or tend to create a monopoly**of**any__line__**of**commerce**.**
After

**the**frames and transom are set up on**the**jig and temporarily braced, a piece**of**three-inch-wide mahogany ( only widths will be given since**the**13/16-inch thickness__is__used throughout )__is__butted between frames one and two below**the**__line__**of****the**keelson**.**

line and image

**The**most obvious

**of**these

**is**

**the**quadratic complex

**of**tangents to Q, each

__line__

**of**which

**is**transformed into

**the**entire pencil

**of**lines tangent to Q at

**the**

__image__

**of**

**the**point

**of**tangency

**of**

**the**given

__line__

**.**

Hence, thought

**of**as a__line__in a particular plane **yp, any tangent to Q has a unique__image__and moreover this__image__**is****the**same for all planes through**L****.**
Clearly, any

__line__, l,**of**any bundle having one**of**these points**of**tangency, T, as vertex will be transformed into**the**entire pencil having**the**__image__**of****the**second intersection**of****L**and Q as vertex and lying in**the**plane determined by**the**__image__point and**the**generator**of****Af**which**is**tangent to **zg at T**.**
A conic, C, being a ( 1, 1 ) curve on Q, meets

**the**__image__**of**any__line__**of****Af**, which we have already found to be a**Af**curve on Q, in**Af**points**.**
On C there

**is**a**Af**correspondence in which**the****Af**points cut from C by a general__line__, l,**of****the**pencil correspond to**the**point**of**intersection**of****the**__image__**of****L**and**the**plane**of****the**pencil**.**
Since C

**is**rational, this correspondence has K coincidences, each**of**which implies a__line__**of****the**pencil which meets its__image__**.**
Since a ruled surface

**of**order N with N concurrent generators**is**necessarily a cone, it follows finally that every__line__through a point, P,**of****zg meets its__image__at P, as asserted**.**
If **ya

**is****the**multiple secant**of****zg which passes through**Af**and **yb**is****the**simple secant**of****zg which passes through**Af**, and if**Af**are**the**points in which **ya meets **zg, and if**Af****is****the**__image__**of****Af**on**the**generator **yb, it follows that**the**__image__**of****the**__line__**Af****is****Af****.**
In this

__image__, North (**the**direction towards**the**North Celestial Pole )**is**up and East**is**left, and**the**white__line__**is****the**rotational axis**of**Altair**.**
This effectively triples

**the**horizontal resolution**of****the**__image__at normal viewing distances ; but**the**drawback**is**that**the**__line__thus drawn will show color fringes ( at some points it might look green, at other points it might look red or blue ).**The**corners are named as follows (

**the**numbers correspond to

**the**

__image__above, starting at

**the**start / finish

__line__):

**The**

__image__

**of**an ellipse by any affine map

**is**an ellipse, and so

**is**

**the**

__image__

**of**an ellipse by any projective map M such that

**the**

__line__M < sup >− 1 </ sup >( Ω ) does not touch or cross

**the**ellipse

**.**

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