Cosine Triples

1976 ◽  
Vol 69 (2) ◽  
pp. 119-124
Author(s):  
Charles G. Moore

This investigation of cosine triples was instigated by a chance observation. For years I have used triangles with integral sides for the purpose of quizzing students on the law of cosines. The law of cosines states that the square of the length of any side of a triangle is equal to the sum of the squares of the lengths of the other two sides minus twice the product of the lengths of those two sides and the cosine of the angle between them. For example, given the triangle with sides 6 and 7, and included angle 20 degrees, the student is expected to find the remaining side using the law of cosines (fig. 1).

1944 ◽  
Vol 37 (7) ◽  
pp. 311-313
Author(s):  
Irwin M. Rothman

Textbooks in plane trigonometry generally treat the solution of oblique triangles by the Law of Sines, Law of Cosines, etc. However, if one uses some of these laws without a complete understanding of their limitations, incorrect results are often obtained. The only case which most textbooks treat adequately in this respect is the solution of a triangle in which two sides and an angle opposite one of them are given, usually referred to as the “Ambiguous Case.” However, in other cases, such as the one in which two sides and the included angle are given, or the one in which the three sides are given, care must be taken if incorrect solutions are to be avoided.


2018 ◽  
Vol 18 (2) ◽  
pp. 251
Author(s):  
Hijrian A. Prihantoro

The purpose of this research is to investigate the issue of the continuation of the contract after judicial annulment through an analytical study within the Jordanian civil law. The contract contains a force binding on its sides by its respect. The contract also, for both parties, within the framework of the organization of relations governed by the law, can not be vetoed by one of the amendments, unless the agreement or the law so authorized. This basic principle in the theory of contract, which is called binding force, or the basis of the contract of the law of the deceased, according to this rule is that no one of the contracting parties can revoke the contract or modify its provisions individually, unless the law permits it or there is agreement between it And between the other. However, there are cases in which the law allows a contractor to reach a contract revocation despite the other party's right to contract in the binding contracts of the two sides to request the judge to award the contract if the other party fails to fulfill its obligation, with the discretion of the judge in this case. These cases are exceptions to the rule of contract of the law of contracting, which is the subject of our research.


2021 ◽  
Vol 5 (IV) ◽  
pp. 01-09
Author(s):  
Dr. Shiv Pratap Singh Raghav

There are two sides of each coin’ similarly. Each act of any person is also, either good or bad. And it is the rule, since existence of the society; good has to be accepted and the prohibited (evil, adharma or asatya). Indian Judiciary has generally been found to be alive to the needs of change happening in social thinking. By giving due consideration to the same while interpreting statutes in particular cases, the courts have brought out their fresh implications and thereby added new dimensions to the law. It is correct that law is an instrument of social change, law changes its shape according to the requirement of society or society changes the law through enactment of statues. In India, every session of Parliament and State Legislature introduces the Bills to amend the Act s(s) or enact Act(s). On the other hand, where, any question of facts comes before the court, judiciary’ (especially higher judiciary) is interpreting the law according to the requirement of society. The dialectic of the legal system in India, with its entrenched “multiplex of social structures” on the one hand and its multiplicity of indigenous, colonial, and developmental traditions on the other, is tremendously complex. The significant element in the interaction between law and society in India is the heavy burden on these multiple traditions and the social concerns and orientations of each.


1926 ◽  
Vol 19 (8) ◽  
pp. 499-505
Author(s):  
P. Stroup

We have all heard of pupils who “got by” in geometry by merely memorizing the proofs given in the book and of teachers who permitted them to “get by.” To such persons those proofs were not proofs. Assuming that such methods are passe if they have not passed all together, what limits are we to approach in the other direction? How long should a student be asked to hold in his memory any completed proof? Is it sufficient to remember the fact and that it has been proved? Are the proofs presented really designed to convince the student of the truth of the fact being proved? Are they the kind of proof that is really convincing to him? Is the logical proof convincing to him? Why prove to him facts that he is sure are true? We ask why he thinks that two triangles must be alike if they have two sides and the included angle the same and he replies that anybody can see that with the implication that somebody around is a “boob.” If he can see no exceptions then is it not a proof to him? Is it not more likely to prejudice him against the geometric proof than to raise any respect for it to drag him through a formal proof under those conditions?


2003 ◽  
pp. 95-110
Author(s):  
M. Voeykov

The original version of "the theory of economy management", developed in the 1920s by Russian economists-emigrants who called themselves "Eurasians" (N. Trubetskoy, P. Savitskiy, etc.) is analyzed in the article. They considered this theory to be the basis of the original Russia's way of economic development. The Eurasian theory of economy management focuses on two sides of enterprise activity: managerial as well as social and moral. The Eurasians accepted the Soviet economy with the large share of state regulation as the initial step of development. On the other hand they paid much attention to the private sector activity. Eurasians developed a theoretical model of the mixed economy which can be attributed as the Russian economic school.


Jurnal Hukum ◽  
2016 ◽  
Vol 31 (2) ◽  
pp. 1721
Author(s):  
Muhammad Aziz Syamsuddin

AbstractThe spirit of the eradication of corruption is running continually. Various efforts or strategies were arranged to sharpen the power of corruptions’ eradication. One of the strategies is legislation support or comprehend and effective legislation. It was proved by the enactment of Law No. 28 of 1999 on State Implementation of Clean and Free from Corruption, Collusion and Nepotism and also Law No. 31 of 1999 as amended by Law No. 20 of 2001 on Corruption Eradication. The other related legislation such as Law No. 30 of 2002 on Corruption Eradication Commission and the Law 8 of 2010 on the Prevention and Eradication of Money Laundering.  Those Supporting legislations show that there is a shared commitment to eradicate corruption. Indonesia has also ratified the UNCAC (United Nations Convention against Corruption) by Law No. 7 of 2006 on the UN Convention (United Nations) Anti-Corruption. Support legislation is expected to provide a deterrent effect for offenders and protecting the rights of citizens has a whole. Keywords: Legislative Support, Criminal Code Draft, Eradication, Crime of Corruption, Pros and Cons    AbstrakSemangat pemberantasan tindak pidana korupsi terus bergulir. Berbagai upaya atau strategi dibangun untuk mempertajam kekuatan pemberantasan korupsi. Salah satunya adalah dengan dukungan legislasi atau peraturan perundang-undangan yang komprehensif dan efektif. Dibuktikan dengan lahirnya Undang-Undang No. 28 Tahun 1999 tentang Penyelenggaraan Negara yang Bersih dan Bebas dari Korupsi, Kolusi, dan Nepotisme dan Undang-Undang No. 31 Tahun 1999 sebagaimana diubah dengan Undang-Undang No. 20 Tahun 2001 tentang Pemberantasan Tindak Pidana Korupsi. Adapun undang-undang terkait lainnya seperti UU No. 30 Tahun 2002 tentang Komisi Pemberantasan Tindak Pidana Korupsi dan UU No. 8 Tahun 2010 tentang Pencegahan dan Pemberantasan Tindak Pidana Pencucian Uang. Dukungan legislasi tersebut menunjukkan adanya komitmen bersama untuk memberantas tindak pidana korupsi. Indonesia juga  telah meratifikasi UNCAC (United Nations Convention Against Corruption) dengan UU No. 7 Tahun 2006 tentang Konvensi PBB (Perserikatan Bangsa-Bangsa) Anti Korupsi. Dukungan legislasi ini diharapkan memberikan efek jera bagi pelaku sekaligus melindungi hak-hak warga negara secara keseluruhan. Kata Kunci: Dukungan Legislatif, RUU KUHP, Pemberantasan, Tindak Pidana Korupsi, Pro dan Kontra


2019 ◽  
Vol 118 (8) ◽  
pp. 152-159
Author(s):  
Jijimon M J ◽  
Dr. S. Anthony Rahul Golden ◽  
Dr. S. Bulomine Regi
Keyword(s):  

Every reality has its own positives and negatives. As the proverb goes coin has two sides. It is very much true in the case of green products too. There is no doubt that green products have many benefits and positives. Despite all the good things about green products, there exist a few glitches and shadows, thereby creating a few doubts and apprehensions in the minds of consumers. The present paper tries to understand these problems associated with green products from the perspectives of the consumers and analyses them with an intention of providing the green brands the means and ways to eliminate such anomalies. The study finds out that the unavailability of products is the most difficult thing the consumers have experienced while purchasing.


Screen Bodies ◽  
2016 ◽  
Vol 1 (2) ◽  
pp. 87-91
Author(s):  
Karen Fiss

In California, where I live, an affirmative consent law was recently passed: often referred to as the “yes means yes” standard for sexual assault, it is now required of all colleges receiving state funds. Supporters of the law argue that campus rapists can no longer be exonerated because their victims did not resist or were incapacitated by fear, shame, or intoxication. On the other side of the country, a student at Columbia University became an icon in this ongoing legal struggle by carrying her mattress around with her everywhere, including to her graduation, as a sign of protest against the university’s refusal to expel the male student who raped her.


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