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SEMI KUASA TITIK TERHADAP PARABOLA Lies . Andriani; Mashadi . .; Hasriati . .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 1, No 2 (2015): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v1i2.17063

Abstract

ABSTRAKKuasa titik tidak hanya dibahas pada lingkaran, tetapi kuasa titik juga dapat ditentukan dari irisan kerucut lain, yaitu parabola. Pada tulisan ini dibahas mengenai cara menentukan semi kuasa titik terhadap parabola khususnya semi kuasa titik yang berada di luar lengkungan parabola.Kata Kunci:  Kuasa titik, parabola ABSTRACTThe power of point not only discussed in the circle, but it can also be determined from other conic sections, namely parabola. In this paper discussed on how to determine the semi power of  point on the parabola especially it is outside the parabola.Keywords: power of point, parabola
TITIK GERGONNE PADA SEGIEMPAT SIKLIK Hesy . Herlinawati; Mashadi . .; Hasriati . .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 2, No 1 (2016): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v2i1.8815

Abstract

ABSTRAKTitik gergonne pada umumnya diberlakukan pada sebarang segitiga yang terdiri dari dua bentuk, yaitu satu buah titik gergonne dalam dan tiga buah titik gergonne luar. Pada tulisan ini akan dibahas cara mengkontruksi titik gergonne pada sebarang segiempat Siklik serta beberapa perhitungan panjang sisi-sisi yang terbentuk dari pengkontruksian lingkaran singgung luar tersebut.Kata Kunci : Lingkaran Singgung Luar, Segiempat Siklik, Titik Gergonne.ABSTRACTGergonne point generally imposed on any triangle consisting of two forms, namely a single point Gergonne inside and three points Gergonne outside. In this paper discuss how to construct a point Gergonne at any cyclic quadrilateral as well as some calculation long of sides formed from contructing outside the circle tangent.Key Word : outside the circle tangent,, cyclic quadrilateral, Gergonne point
PENGEMBANGAN TEOREMA CEVA DAN TEOREMA MENELAUS PADA SEGIEMPAT Nurahmi . .; Mashadi . .; Hasriati . .
KARISMATIKA: Kumpulan Artikel Ilmiah, Informatika, Statistik, Matematika dan Aplikasi Vol 1, No 2 (2015): Karismatika
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jmk.v1i2.17072

Abstract

ABSTRAK Teorema Ceva dan Teorema Menelaus pada umumnya dibahas pada sembarang segitiga. Pada tulisan ini dibahas pengembangan teorema Ceva dan teorema Menelaus pada segiempat dalam berbagai kasus. Pada teorema Ceva dibahas kasus yaitu berpotongan di satu titik yang berada di luar segiempat konveks dan nonkonveks , sedangkan pada teorema Menelaus  dibahas untuk kasus segiempat nonkonveks. Kata Kunci : Segiempat, Teorema Ceva,  dan Teorema Menelaus
FORMULA AKUMULASI FACKLER UNTUK CADANGAN PREMI BERDASARKAN ASUMSI CONSTANT FORCE Marintan Butar-butar; Hasriati '; Aziskhan '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses Fackler accumulation formula which is used to determine reserve premium of an endowment life insurance by constant force assumption. The constant force assumption is the one that uses probability density function of exponentialdistribution. The counting of reserve premium is obtained by determining the annuity  and premium using the constant force assumption. Furthermore, an example is given to explain the problem discussed. On this case reserve premium is gotten using Fackler accumulation formula  by the constant force assumption.
HUBUNGAN SEGITIGA NAGEL DENGAN SEGITIGA ASALNYA Reni Widya; Hasriati '; M. Natsir
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 1 (2014): Wisuda Februari 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This paper discusses the relationship between the Nagel triangle and the originaltriangle. The Nagel triangle is formed by connecting the three of tangent points of theexcircle to the sides of the triangle. This relationship can be shown through thecollinearity of centroid and incenter of the original triangle to Nagel point of the Nageltriangle. Then, the relationship between the area of the Nagel triangle and the area of theoriginal triangle is shown.
CADANGAN PREMI DENGAN METODE CANADIAN PADA ASURANSI JIWA BERJANGKA Ike Ruliysmawati Khoirunnisa; Hasriati '; Harison '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses the prospective reserve of term life insurance of the Canadian method. The method gives the extend of modified period over the entire premium payment period. Term life insurance reserve calculation is solved by determination of the single premium, annual premium, and annuity based on the assumption of constant force in advance. 
CADANGAN FULL PRELIMINARY TERM ASURANSI DWIGUNA DENGAN HUKUM DE MOIVRE Sherly Mutya Faradilla; Hasriati '; Tumpal Parulian Nababan
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This paper discusses premium reserve endowment life insurance for years. The reserve is calculated by the method of full preliminary term based on net annual premium, with the first net annual premium and the second net annual premium . Net annual premium is affected by amount of single premium and annuity due. De Moivre law is applied to calculate the reserve.
CADANGAN ASURANSI DWIGUNA LAST SURVIVOR DENGAN METODE PREMIUM SUFFICIENCY Margaretta Tiolina Siregar; Hasriati '; Aziskhan '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses premium sufficiency method which is used to determine the reserved gross premium of an endowment life insurance with last survivor status. The calculation of gross premium is obtained by determination of the present value of due life annuity and net premium by members of life insurance. The present value of due life annuity and net premium are expressed in the form of commutation function.
KONKURENSI TITIK GERGONNE Desi Trisna; M. Natsir; Hasriati '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 1 (2014): Wisuda Februari 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This paper discusses the proof of the concurrent from Gergonne point. The Gergonnepoint of a triangle is the point at which the three lines from vertices to the points oftangency between the incircle and the sides of the triangle are concurrent. ConcurrentGergonne point can be proved through several methods and using Ceva theorem. Theconcurrence of Gergonne point is also proved on excircle of triangle.
CADANGAN PREMI TAHUNAN ASURANSI KESEHATAN PADA STATUS GABUNGAN Aryo Gunanto; Hasriati '; Rolan Pane
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

Health insurance is one type of insurance products that specifically guarantees the cost of health or care insurance when the participants experience health problems and have to stay at the a hospital. This article discusses the amount of annual premium reserve of term health insurance for joint life status using constant force assumption, by first determining the term life annuity, single premium of health insurance and the annual premiums of term health insurance.