DLMF:4.42.E7 (Q1995): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11258 / rank
 
Normal rank
Property / Symbols used: Q11258 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11258 / qualifier
 
xml-id: C4.S42.XMD10.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11259 / rank
 
Normal rank
Property / Symbols used: Q11259 / qualifier
 
Defining formula:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11259 / qualifier
 
xml-id: C4.S42.XMD11.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11260 / rank
 
Normal rank
Property / Symbols used: Q11260 / qualifier
 
Defining formula:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q11260 / qualifier
 
xml-id: C4.S42.XMD12.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11264 / rank
 
Normal rank
Property / Symbols used: Q11264 / qualifier
 
Defining formula:

s 𝑠 {\displaystyle{\displaystyle s}}

s
Property / Symbols used: Q11264 / qualifier
 
xml-id: C4.S42.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: Q11261 / rank
 
Normal rank
Property / Symbols used: Q11261 / qualifier
 
Defining formula:

A 𝐴 {\displaystyle{\displaystyle A}}

A
Property / Symbols used: Q11261 / qualifier
 
xml-id: C4.S42.XMD7.m1bdec

Latest revision as of 19:25, 1 January 2020

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English
DLMF:4.42.E7
No description defined

    Statements

    area = 1 2 b c sin A = ( s ( s - a ) ( s - b ) ( s - c ) ) 1 / 2 , area 1 2 𝑏 𝑐 𝐴 superscript 𝑠 𝑠 𝑎 𝑠 𝑏 𝑠 𝑐 1 2 {\displaystyle{\displaystyle\hbox{area}=\tfrac{1}{2}bc\sin A=\left(s(s-a)(s-b)% (s-c)\right)^{1/2},}}
    0 references
    DLMF:4.42.E7
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2abdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C4.S42.XMD10.m1ddec
    0 references
    b 𝑏 {\displaystyle{\displaystyle b}}
    C4.S42.XMD11.m1ddec
    0 references
    c 𝑐 {\displaystyle{\displaystyle c}}
    C4.S42.XMD12.m1ddec
    0 references
    s 𝑠 {\displaystyle{\displaystyle s}}
    C4.S42.XMD13.m1dec
    0 references
    A 𝐴 {\displaystyle{\displaystyle A}}
    C4.S42.XMD7.m1bdec
    0 references