domingo, 1 de febrero de 2009

Human Rights in Pictures

The Universal Declaration of Human Rights

PREAMBLE 

[...] Now, Therefore THE GENERAL ASSEMBLY proclaims THIS UNIVERSAL DECLARATION OF HUMAN RIGHTS as a common standard of achievement for all peoples and all nations, to the end that every individual and every organ of society, keeping this Declaration constantly in mind, shall strive by teaching and education to promote respect for these rights and freedoms and by progressive measures, national and international, to secure their universal and effective recognition and observance, both among the peoples of Member States themselves and among the peoples of territories under their jurisdiction.


 
 
Article 1
All human beings are born free and equal in dignity and rights.They are endowed with reason and conscience and should act towards one another in a spirit of brotherhood.
 
Article 2
Everyone is entitled to all the rights and freedoms set forth in this Declaration, without distinction of any kind, such as race, colour, sex, language, religion, political or other opinion, national or social origin, property, birth or other status. Furthermore, no distinction shall be made on the basis of the political, jurisdictional or international status of the country or territory to which a person belongs, whether it be independent, trust, non-self-governing or under any other limitation of sovereignty.
Article 3
Everyone has the right to life, liberty and security of person.

Article 4
No one shall be held in slavery or servitude; slavery and the slave trade shall be prohibited in all their forms.

Article 5
No one shall be subjected to torture or to cruel, inhuman or degrading treatment or punishment.

Article 6
Everyone has the right to recognition everywhere as a person before the law.

Article 7
All are equal before the law and are entitled without any discrimination to equal protection of the law. All are entitled to equal protection against any discrimination in violation of this Declaration and against any incitement to such discrimination.

Article 8
Everyone has the right to an effective remedy by the competent national tribunals for acts violating the fundamental rights granted him by the constitution or by law.
 
Article 9
No one shall be subjected to arbitrary arrest, detention or exile.
 
Article 10
Everyone is entitled in full equality to a fair and public hearing by an independent and impartial tribunal, in the determination of his rights and obligations and of any criminal charge against him.

 
Article 11
(1) Everyone charged with a penal offence has the right to be presumed innocent until proved guilty according to law in a public trial at which he has had all the guarantees necessary for his defence.
(2) No one shall be held guilty of any penal offence on account of any act or omission which did not constitute a penal offence, under national or international law, at the time when it was committed. Nor shall a heavier penalty be imposed than the one that was applicable at the time the penal offence was committed.


Article 12
No one shall be subjected to arbitrary interference with his privacy, family, home or correspondence, nor to attacks upon his honour and reputation. Everyone has the right to the protection of the law against such interference or attacks.
 
Article 13
(1) Everyone has the right to freedom of movement and residence within the borders of each state.
(2) Everyone has the right to leave any country, including his own, and to return to his country.

Article 14
(1) Everyone has the right to seek and to enjoy in other countries asylum from persecution.
(2) This right may not be invoked in the case of prosecutions genuinely arising from non-political crimes or from acts contrary to the purposes and principles of the United Nations.

Article 15
(1) Everyone has the right to a nationality.
(2) No one shall be arbitrarily deprived of his nationality nor denied the right to change his nationality.

Article 16
(1) Men and women of full age, without any limitation due to race, nationality or religion, have the right to marry and to found a family. They are entitled to equal rights as to marriage, during marriage and at its dissolution.
(2) Marriage shall be entered into only with the free and full consent of the intending spouses.
(3) The family is the natural and fundamental group unit of society and is entitled to protection by society and the State.
 
Article 17
(1) Everyone has the right to own property alone as well as in association with others.
(2) No one shall be arbitrarily deprived of his property.
 
Article 18
Everyone has the right to freedom of thought, conscience and religion; this right includes freedom to change his religion or belief, and freedom, either alone or in community with others and in public or private, to manifest his religion or belief in teaching, practice, worship and observance
.
Article 19
Everyone has the right to freedom of opinion and expression; this right includes freedom to hold opinions without interference and to seek, receive and impart information and ideas through any media and regardless of frontiers.
 
Article 20
(1) Everyone has the right to freedom of peaceful assembly and association.
(2) No one may be compelled to belong to an association.

Article 21
(1) Everyone has the right to take part in the government of his country, directly or through freely chosen representatives.
(2) Everyone has the right of equal access to public service in his country.
(3) The will of the people shall be the basis of the authority of government; this will shall be expressed in periodic and genuine elections which shall be by universal and equal suffrage and shall be held by secret vote or by equivalent free voting procedures.

Article 22
Everyone, as a member of society, has the right to social security and is entitled to realization, through national effort and international co-operation and in accordance with the organization and resources of each State, of the economic, social and cultural rights indispensable for his dignity and the free development of his personality.

Article 23
(1) Everyone has the right to work, to free choice of employment, to just and favourable conditions of work and to protection against unemployment.
(2) Everyone, without any discrimination, has the right to equal pay for equal work.
(3) Everyone who works has the right to just and favourable remuneration ensuring for himself and his family an existence worthy of human dignity, and supplemented, if necessary, by other means of social protection.
(4) Everyone has the right to form and to join trade unions for the protection of his interests.

Article 24
Everyone has the right to rest and leisure, including reasonable limitation of working hours and periodic holidays with pay.

Article 25
(1) Everyone has the right to a standard of living adequate for the health and well-being of himself and of his family, including food, clothing, housing and medical care and necessary social services, and the right to security in the event of unemployment, sickness, disability, widowhood, old age or other lack of livelihood in circumstances beyond his control.
(2) Motherhood and childhood are entitled to special care and assistance. All children, whether born in or out of wedlock, shall enjoy the same social protection.

Article 26
(1) Everyone has the right to education. Education shall be free, at least in the elementary and fundamental stages. Elementary education shall be compulsory. Technical and professional education shall be made generally available and higher education shall be equally accessible to all on the basis of merit.
(2) Education shall be directed to the full development of the human personality and to the strengthening of respect for human rights and fundamental freedoms. It shall promote understanding, tolerance and friendship among all nations, racial or religious groups, and shall further the activities of the United Nations for the maintenance of peace.
(3) Parents have a prior right to choose the kind of education that shall be given to their children.
 
Article 27
(1) Everyone has the right freely to participate in the cultural life of the community, to enjoy the arts and to share in scientific advancement and its benefits.
(2) Everyone has the right to the protection of the moral and material interests resulting from any scientific, literary or artistic production of which he is the author.


Article 28
Everyone is entitled to a social and international order in which the rights and freedoms set forth in this Declaration can be fully realized.


Article 29
(1) Everyone has duties to the community in which alone the free and full development of his personality is possible.
(2) In the exercise of his rights and freedoms, everyone shall be subject only to such limitations as are determined by law solely for the purpose of securing due recognition and respect for the rights and freedoms of others and of meeting the just requirements of morality, public order and the general welfare in a democratic society.
(3) These rights and freedoms may in no case be exercised contrary to the purposes and principles of the United Nations.


Article 30
Nothing in this Declaration may be interpreted as implying for any State, group or person any right to engage in any activity or to perform any act aimed at the destruction of any of the rights and freedoms set forth herein.


jueves, 20 de mayo de 2004

domingo, 9 de mayo de 2004

Circunferencias de radio conocido tangentes a dos rectas dadas


Para trazar las circunferencias de radio R conocido que son tangentes a dos rectas r y s dadas se trazarán las rectas paralelas a r y a s situadas a una distancia R de las mismas, a uno y otro lado. Las dos paralelas a r cortarán a las dos paralelas a s en cuatro puntos de intersección, que son los cuatro centros de las circunferencias solución al problema. Estos cuatro centros están situados en las bisectrices de los ángulos formados por las rectas r y s y son además los vértices de un rombo (un cuadrado si las rectas r y s son perpendiculares). 

Si las rectas r y s fueran paralelas sólo será posible dibujar circunferencias de radio R tangentes a ambas cuando la distancia entre r y s sea igual a 2R, en cuyo caso existirán infinitas circunferencias tangentes a r y a s, siendo el lugar geométrico de sus centros la paralela a r y a s situada a mitad de distancia de ambas.


martes, 4 de mayo de 2004

Circunferencias de radio conocido tangentes a una circunferencia y que pasan por un punto dado


Para hallar las circunferencias de radio R conocido que pasando por un punto P dado son tangentes a una circunferencia dada de centro C y radio r, se trazará una circunferencia con centro en P y radio R y dos circunferencias con centro en C y radios R+r y |R-r|, respectivamente. Los puntos de intersección de dichas circunferencias serán los centros de las circunferencias que pasando por P y siendo tangentes a C tienen radio R. Los puntos de intersección situados sobre la circunferencia de radio R+r se corresponden con los centros de las circunferencias que son tangentes exteriores a C, mientras que los puntos de intersección situados sobre la circunferencia de radio |R-r| se corresponden con los centros de las circunferencias que son tangentes interiores a C. 
La circunferencia de centro P y radio R podrá ser secante, tangente o no cortar a las circunferencias de radio R+r y de radio |R-r|, pudiendo existir 1, 2, 3, 4 o ninguna solución al problema (como mucho habrá dos circunferencias tangentes interiores a C y dos circunferencias tangentes exteriores a C que pasan por P y tienen radio R).


lunes, 3 de mayo de 2004

Trazar una circunferencia tangente a dos rectas dadas r y s que se cortan y pasan por un punto P de la circunferencia


Dadas las dos rectas r y s, se traza una bisectriz entre ellas, en esa recta bisectriz estarán todos los centros posibles para que las circunferencias realizadas sean tangentes a r y s. Para hallar la que pasa por el punto P, se traza una perpendicular desde P a la recta s y se realiza otra bisectriz entre la recta perpendicular y la recta s, donde corte esta bisectriz a la anterior realizada entre las rectas r y s, será el centro de la circunferencia pedida.

Circunferencias de radio conocido tangentes a una recta y que pasan por un punto dado


Para hallar las circunferencias de radio R conocido que pasando por un punto P dado son tangentes a una recta r dada, se trazará una circunferencia de radio R con centro en P y la paralela a la recta r a una distancia R de la misma que esté situada en el mismo lado de la recta r que el punto P (de los dos semiplanos en que divide la recta r al plano, los centros de las circunferencias tangentes a r que pasan por P habrán de estar necesariamente en el semiplano que contiene a P, con lo cual no es necesario dibujar la paralela a r situada en el otro semiplano, ya que se sabe de antemano que no va a arrojar ninguna solución). Los puntos de intersección de la recta paralela con la circunferencia de centro P y radio R constituirán los centros de las circunferencias solución al problema. La paralela puede ser tangente, secante o no cortar a la circunferencia de centro P y radio R, existiendo entonces 1, 2 o ninguna circunferencia solución al problema, respectivamente.