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%%Page: 6 6
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b(1)p Fj(=)p Fk(2)91 b Fi(eck4)318 b(eck4.c)88 669 y
Fk(V)471 b(5)106 b(S)93 b(2.1.3)103 b(2)134 b(1)p Fj(=)p
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b(2.6.13)50 b(2.3076)111 b(0)e Fi(goode)298 b(goode)-33
1035 y Fk(Hatano)489 b(15)75 b(A,E)70 b(2.2.4)59 b(2.0372)91
b(1)p Fj(=)p Fk(3)g Fi(hatano)278 b(hatano)-33 1083 y
Fk(Ka)o(vraisky)14 b(VI)q(I)372 b(19)95 b(E)90 b(2.2.5)993
1052 y Fg(p)p 1025 1052 20 2 v 31 x Fk(3)118 b(1)p Fj(=)p
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1174 y Fk(Lo)o(xim)o(uthal)422 b(45)90 b(M)76 b(2.6.10)395
b Fi(loxim)82 b(+lat_1=)76 b(loxim.c)-33 1220 y Fk(McBryde-Thomas)27
1265 y(Sine)14 b(\(No.)e(1\))348 b(34)70 b(A,M)c(2.6.1)59
b(2.1192)111 b(0)e Fi(mbt)p 1372 1265 12 2 v 13 w(s)305
b(sts.c)27 1311 y Fk(Flat-P)o(olar)14 b(Sine)h(\(No.)d(2\))163
b(37)70 b(A,M)c(2.6.2)59 b(2.1192)111 b(0)e Fi(mbt)p
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grestore grestore %% tail for single or double column display
%%EndDocument
 @endspecial 4 1552 a(C)-58 1652 y Fs(Figure)13 b(3:)k(Sin)o(usoidal)12
b(pro)r(jections)i(from)d(general)j(form)o(ulas:)-58
1702 y Ft(A)p Fs({Sin)o(usoidal,)19 b Ft(B)p Fs({Ec)o(k)o(ert)h(VI)g
(and)f Ft(C)p Fs({McBryde-Thomas)-58 1751 y(Flat-P)o(olar)12
b(Sin)o(usoidal.)135 1907 y Fr(P)6 b Fs(\()p Fr(\022)q
Fs(\))42 b(=)g Fr(m\022)11 b Fs(+)f(sin)d Fr(\022)k Fn(\000)e
Fr(n)e Fs(sin)g Fr(\036)124 1969 y(P)157 1952 y Fq(0)168
1969 y Fs(\()p Fr(\022)q Fs(\))42 b(=)g Fr(m)10 b Fs(+)f
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1189 y Fs(.)-58 1313 y(Putnin)50 1322 y(.)65 1313 y(\025)-19
b(s)16 b(P)127 1319 y Fp(6)161 1313 y Fs(and)g(P)272
1298 y Fq(0)272 1323 y Fp(6)306 1313 y Fs(pro)r(jections)g(are)g
(equal-area)f(with)h(re-)-58 1363 y(sp)q(ectiv)o(e)f(p)q(oin)o(ted)f
(and)g(\015at)g(p)q(oles)g(de\014ned)h(b)o(y:)50 1443
y Fr(x)41 b Fs(=)h Fr(C)219 1449 y Fd(x)239 1443 y Fr(\025)p
Fs(\()p Fr(D)11 b Fn(\000)f Fs(\(1)f(+)h Fr(p)475 1425
y Fp(2)493 1443 y Fs(\))509 1425 y Fp(1)p Fd(=)p Fp(2)561
1443 y Fs(\))52 1505 y Fr(y)43 b Fs(=)f Fr(C)219 1511
y Fd(y)238 1505 y Fr(p)-12 1572 y(P)6 b Fs(\()p Fr(p)p
Fs(\))41 b(=)h(\()p Fr(A)9 b Fn(\000)h Fs(\(1)f(+)g Fr(p)395
1555 y Fp(2)414 1572 y Fs(\))430 1555 y Fp(1)p Fd(=)p
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1555 y Fp(1)p Fd(=)p Fp(2)888 1572 y Fs(\))189 1635 y
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246 2174 y Fr(B)k Fs(2.14714)c(5.61125)-58 2280 y Ft(2.3.2)g(Putnin)215
2291 y(.)229 2280 y(\025)-21 b(s)16 b(P)300 2286 y Fp(5)334
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(p)q(oin)o(ted)f(and)g(\015at)f(p)q(oles:)85 2486 y Fr(x)42
b Fs(=)f(1)p Fr(:)p Fs(01346)p Fr(\025)p Fs(\()p Fr(A)8
b Fn(\000)i Fr(B)516 2449 y Fl(p)p 558 2449 221 2 v 37
x Fs(1)f(+)g(12)p Fr(\036)696 2474 y Fp(2)714 2486 y
Fr(=\031)760 2474 y Fp(2)779 2486 y Fs(\))87 2549 y Fr(y)44
b Fs(=)d(1)p Fr(:)p Fs(01346)p Fr(\036)407 2626 y Fs(P)435
2632 y Fp(5)510 2626 y Fs(P)538 2611 y Fq(0)538 2636
y Fp(5)p 295 2643 290 2 v 323 2694 a Fr(A)50 b Fs(2.0)f(1.5)320
2744 y Fr(B)k Fs(1.0)c(0.5)1507 523 y @beginspecial @setspecial
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1398 y(sin)7 b Fr(\022)43 b Fs(=)f(\(5)403 1361 y Fn(p)p
437 1361 21 2 v 437 1398 a Fs(2)p Fr(=)p Fs(8\))7 b(sin)f
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522 2 v 204 1641 a Fr(C)234 1647 y Fd(x)304 1641 y Fs(2)325
1606 y Fl(p)p 367 1606 99 2 v 35 x Fs(0)p Fr(:)p Fs(6)p
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grestore grestore %% tail for single or double column display
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1279 y Ft(2.5.3)48 b(Ec)o(k)o(ert)15 b(I)q(I)131 1402
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46 2 v 362 1402 a Fs(6)p Fr(\031)q Fs(\))p Fr(\025)448
1364 y Fl(p)p 490 1364 205 2 v 38 x Fs(4)9 b Fn(\000)h
Fs(3)d(sin)f Fn(j)p Fr(\036)p Fn(j)133 1470 y Fr(y)43
b Fs(=)270 1433 y Fl(p)p 312 1433 88 2 v 37 x Fs(2)p
Fr(\031)q(=)p Fs(3)o(\(2)9 b Fn(\000)487 1433 y Fl(p)p
528 1433 205 2 v 528 1470 a Fs(4)g Fn(\000)h Fs(3)d(sin)f
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b Fs(cos)g Fr(\036=)g Fs(cos\()p Fr(\036=q)q Fs(\))176
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Fs(\))-58 2122 y(T)m(angen)o(t)13 b(series:)175 2216
y Fr(x)41 b Fs(=)h(\()p Fr(q)q(=p)p Fs(\))p Fr(\025)7
b Fs(cos)g Fr(\036)g Fs(cos)589 2198 y Fp(2)607 2216
y Fs(\()p Fr(\036=q)q Fs(\))177 2278 y Fr(y)43 b Fs(=)f
Fr(p)7 b Fs(tan\()p Fr(\036=q)q Fs(\))75 2370 y Fj(q)158
b(p)218 b Fk(Sine)167 b(T)m(angen)o(t)p -4 2385 889 2
v 74 2430 a(2)157 b(2)111 b(Quartic)14 b(Authalic)60
b(F)m(oucaut)21 2475 y(1.36509)51 b(1.48875)f(McBryde-Thomas)21
2521 y(1.35439)h(1.50488)95 b(Ka)o(vraisky)15 b(V)-58
2671 y Ft(2.6.2)48 b(McBryde-Thomas)26 b(Flat-P)o(olar)f(Sine)g(\(No.)
88 2720 y(1\).)1507 534 y @beginspecial @setspecial
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2497 y Fr(x)41 b Fs(=)h(2)p Fr(:)p Fs(00276)p Fr(\025)p
Fs(\(sec)7 b Fr(\036)i Fs(+)g(1)p Fr(:)p Fs(11072)e(sec)f
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y(P)91 2671 y Fq(0)102 2688 y Fs(\()p Fr(\022)q Fs(\))42
b(=)g(2)9 b(+)h(2)d(cos)g(2)p Fr(\022)134 2751 y(\022)43
b Fs(=)f Fr(\036)1507 386 y @beginspecial @setspecial
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grestore grestore %% tail for single or double column display
%%EndDocument
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b Fs(=)f Fr(\025)7 b Fs(cos)q([\(0)p Fr(:)p Fs(95)h Fn(\000)h
Fr(\025=)p Fs(12)g(+)g Fr(\025)632 1633 y Fp(3)651 1651
y Fr(=)p Fs(600\))p Fr(\036)p Fs(])95 1713 y Fr(y)44
b Fs(=)d Fr(\036)-58 1825 y Ft(2.6.8)48 b(F)l(ahey)148
1963 y Fr(x)42 b Fs(=)f Fr(\025)7 b Fs(cos)h(35)423 1946
y Fq(\016)442 1911 y Fl(q)p 483 1911 249 2 v 483 1963
a Fs(1)h Fn(\000)h Fs(tan)615 1947 y Fp(2)633 1963 y
Fs(\()p Fr(\036=)p Fs(2\))150 2032 y Fr(y)44 b Fs(=)d(\(1)9
b(+)h(cos)d(35)479 2015 y Fq(\016)498 2032 y Fs(\))g(tan\()p
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2 0 5 -1 -3 -2 -3 -3 3 -1 6 0 5 -1 13 6 10 2 16 5 11 3 17 4 -3 1 6 5 8 4 
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D0
1464 1836 U -7 -3 -3 -2 8 -1 7 3 3 -1 5 2 14 6 12 7 6 1 -7 -5 -10 -4 -2 -3 
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3 -1 2 -2 3 -2 6 0 6 0 3 0 8 5 3 4 50 L
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D0
1449 1833 U 11 6 13 4 13 7 10 4 5 4 0 3 2 4 13 6 -2 2 12 5 5 -1 16 8 -13 -9 
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D0
1586 1839 U -12 -6 -5 -3 -3 -3 -2 -3 -14 -4 -1 -3 -4 -2 6 1 5 0 8 1 7 2 
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D0
1648 1866 U -5 1 -12 -5 -5 -5 19 4 3 5 5 L
D0
1647 1872 U -16 -6 -14 -7 -2 -2 4 0 0 -2 9 3 0 -2 12 6 -8 -6 -4 -3 3 -1 
11 6 10 6 -4 0 -5 0 -3 1 15 5 0 1 -3 1 -5 0 20 L
D0
1624 1879 U -13 -4 -8 -4 1 -1 7 1 -9 -4 -10 -5 5 0 7 1 6 4 6 2 5 3 3 -1 
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D0
1614 1899 U -20 -5 12 4 -9 -2 -2 1 -8 -2 -4 -2 -9 -2 -3 -2 6 1 2 -1 2 -1 
9 2 10 2 11 1 10 1 3 3 -2 1 2 2 -10 -1 19 L
D0
1672 1909 U 9 3 1 2 -2 1 -5 -1 -7 -2 2 -1 -10 -1 3 -1 2 -1 7 1 10 L
D0
1689 1910 U -6 -1 -5 -4 7 1 5 0 7 1 -5 0 1 2 -2 0 -2 1 9 L
D0
1707 1909 U 3 3 -4 -1 0 2 0 1 7 4 -3 1 -7 -2 -7 -4 -3 -3 -4 -3 6 1 -9 -5 
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D0
1712 1900 U 5 4 -2 0 -4 0 -6 -1 -3 -3 -4 0 -2 -2 -3 -3 1 -1 2 -1 12 6 0 1 
4 0 13 L
D0
1736 1894 U -13 -5 -6 -1 -8 -2 -6 -1 -4 -4 0 -1 -13 -7 1 -2 2 0 -4 -4 -7 -4 
0 -1 2 -1 2 1 -3 1 5 0 4 1 24 8 10 5 2 2 -3 -1 0 2 -4 0 3 2 3 -1 8 2 5 3 
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D0
1702 1880 U 1 -1 0 -1 2 -1 4 2 2 0 2 2 3 -1 -1 -1 9 2 2 0 6 1 1 1 -5 0 
5 2 11 6 2 2 0 1 -2 1 0 1 -2 1 -2 0 -4 0 -5 -1 -3 0 -5 -1 -2 1 4 0 4 1 
6 1 4 1 3 -1 2 0 2 -1 3 -1 10 5 4 5 13 7 3 -1 3 -1 13 5 -2 1 -3 1 14 6 
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2 -1 7 3 2 0 0 -2 3 1 4 0 4 1 6 3 50 L
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4 -1 -4 -2 -1 -2 -3 0 -7 -1 -5 -4 -4 1 -7 -2 -24 -11 4 -1 1 -1 26 L
D0
1700 1882 U 2 0 6 0 -6 -5 0 -1 1 -2 11 3 4 4 1 2 -3 1 -5 0 13 8 4 1 12 7 
-1 1 1 3 -8 -1 1 3 -3 0 -4 1 -3 1 -3 1 -6 -1 -1 2 -5 0 -3 0 -9 -3 1 -2 
-9 -3 -1 -2 2 -1 1 -2 3 0 3 -1 5 0 9 2 1 -1 3 -1 -1 -3 -2 -3 -1 -3 -3 1 
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D0
1618 1837 U -2 3 -3 3 -3 4 0 6 -18 -18 -3 -8 2 -4 -3 -7 -13 -8 0 6 2 7 
0 8 -12 -7 -12 -6 -10 -5 0 -5 4 -2 1 -4 -2 -7 6 1 2 -3 0 -5 -6 -7 -4 1 
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16 9 -2 3 9 2 3 5 -3 2 -2 3 -4 3 -3 2 -3 1 -5 3 -4 0 -8 -1 -10 -3 5 7 0 4 
13 7 -10 -1 1 5 0 5 9 10 16 6 8 3 6 8 10 1 5 -1 4 -2 12 5 7 5 -4 3 -9 -2 
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D0
1613 1787 U 13 5 8 7 -5 1 -10 -4 -9 -6 3 -3 6 L
D0
1531 1769 U 10 5 15 8 4 5 11 3 -2 2 -4 0 8 7 -5 0 -10 -4 -13 -4 2 6 -4 2 
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D0
1707 1675 U 1 3 6 4 5 3 6 3 3 3 -4 1 -5 -1 -6 -1 2 4 -1 4 2 6 4 -2 3 -2 
4 -1 3 1 2 4 7 2 5 5 0 5 -6 0 -7 -2 -2 -2 2 -3 -1 -2 -1 -1 -1 2 -3 4 2 5 
5 4 8 5 4 0 7 2 8 7 6 5 -1 4 5 3 6 5 -1 4 1 6 8 11 1 5 1 9 2 8 1 8 -1 6 
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3 0 1 1 6 3 6 2 3 -1 2 0 8 2 4 1 4 0 4 1 6 3 2 2 1 2 -1 2 0 1 1 3 -4 -1 
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2 3 0 2 0 2 1 2 2 1 0 -1 0 -1 1 -1 0 -2 1 -1 0 -1 0 -1 2 -1 3 3 1 2 0 2 
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1 -1 1 -1 2 -3 3 1 50 L
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-7 -7 -6 -7 -7 -7 -5 -8 -8 -3 -7 -5 -1 -6 -6 -1 -5 -7 -10 -6 -6 -1 -5 1 
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-8 -2 1 L
D0
2330 1337 U -7 -13 -8 -6 -10 -12 -11 -11 -9 -11 -11 -8 -11 -7 -11 -9 -8 -11 
-9 -11 -8 -12 -2 -11 -5 -12 -7 -11 -1 -12 -2 -10 0 -10 6 -3 6 5 10 5 5 -1 
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3 -8 5 -13 8 -10 9 -6 5 -13 2 -11 7 -13 12 -8 4 -12 9 -11 7 -11 7 -12 7 -11 
10 -11 3 -11 50 L
-9 -7 -3 -8 2 -11 -1 -12 -2 -12 -3 -13 7 -8 2 -11 1 -11 -2 -12 8 -9 -2 -8 
-4 -9 -6 -11 14 L
D0
2538 863 U 6 14 10 4 7 16 11 7 12 4 11 3 8 13 0 14 -2 13 7 9 6 7 6 7 2 12 
-2 11 1 10 -7 6 -7 4 -7 -3 -8 -1 -8 -9 -6 -10 -6 -11 -7 -12 -5 -10 -6 -13 
-6 -12 -5 -12 -3 -9 -3 -11 -3 5 -4 -11 2 -12 0 -14 6 -9 34 L
D0
2431 816 U -5 10 -6 10 -5 10 -8 9 2 8 1 12 -5 10 1 11 -2 13 -6 11 -6 7 
-2 10 -3 12 -5 9 -3 10 5 4 -3 11 -5 7 -9 6 -10 -6 -10 -3 -10 -1 -11 1 -8 2 
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-3 11 -9 10 -11 6 -11 7 -7 9 -8 5 -11 4 -5 -2 -13 -4 -11 -3 -11 -1 -11 3 
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8 -2 10 0 12 1 9 2 10 5 8 2 7 5 9 4 9 -3 11 3 6 -4 6 -4 5 4 2 6 6 10 7 5 
9 3 5 5 4 9 5 5 2 9 -4 7 5 6 4 6 8 3 7 6 9 3 7 8 7 7 7 7 6 12 8 10 6 11 
7 10 4 11 -8 9 4 8 -5 9 1 13 4 10 2 11 9 8 -5 7 0 11 0 11 -4 4 -11 1 -3 11 
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8 -4 10 0 9 2 6 4 10 -2 12 -3 9 -3 10 1 3 -4 10 -1 12 -2 -3 -5 14 -3 9 4 
9 8 -5 11 7 8 9 -4 8 -4 11 -2 10 -3 7 -9 10 -4 10 -3 10 -1 9 -2 7 -4 6 -7 
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D0
2326 1348 U -10 -2 -8 -8 -6 3 -7 -2 0 12 -4 10 0 8 3 12 1 11 3 10 10 2 
7 0 12 L
D0
2315 1393 U -9 -3 -9 -3 3 6 5 4 7 2 3 -6 6 L
D0
2315 1404 U -6 1 5 -8 -9 2 0 -4 -6 2 5 -7 8 -4 6 -8 6 -10 -9 6 -8 -2 6 -6 
-8 -3 -9 0 -10 2 2 6 0 9 -10 6 7 6 -9 3 -4 7 -7 7 -9 2 -10 6 -7 -2 -1 -7 
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D0
2231 1397 U -7 2 -12 1 -7 2 8 1 7 0 13 -3 -2 -3 7 L
D0
2218 1416 U -1 7 -3 1 -5 -4 1 -6 -4 -2 1 -5 5 -5 -3 -8 -8 4 -5 4 -2 -4 
9 -6 10 -4 8 -5 -1 -3 8 0 8 -4 6 -7 2 -6 8 -5 6 -4 0 -8 2 -4 -10 -3 -5 9 
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D0
2149 1424 U 4 6 -2 7 2 4 6 -3 8 -3 10 -4 2 -5 -8 -1 -10 1 -12 -2 10 L
D0
2150 1430 U -4 3 -11 8 -8 6 -9 1 -3 3 -7 6 -7 5 -5 4 -4 8 3 3 10 L
D0
2086 1476 U -2 8 3 8 5 -4 1 -8 -7 -4 5 L
D0
2085 1457 U 8 3 1 3 -3 7 0 9 -5 3 -5 -2 -3 -10 0 -8 7 -5 9 L
D0
2029 1444 U 5 3 -5 5 -3 -4 3 -4 4 L
D0
2095 1477 U -4 -4 -10 -3 -9 -1 -10 -1 -4 -6 -8 -3 -4 -7 -5 -6 5 -8 -4 -6 
-8 -10 -9 -3 -7 -4 -5 -5 2 -10 -7 -7 -9 3 -9 3 -6 0 -5 -5 -8 -3 -6 -7 -6 2 
-7 3 -4 11 25 L
D0
1948 1400 U 7 0 1 -3 6 0 -3 11 7 0 4 -2 8 1 9 2 -5 9 -6 0 -8 3 -4 6 -8 10 
0 11 1 8 2 8 4 3 8 -1 10 -1 9 0 9 -2 8 0 10 -1 3 3 8 4 -4 9 1 14 3 9 5 9 
0 10 -4 0 0 5 3 11 -12 0 -7 -2 -5 3 -2 6 -7 4 38 L
D0
1924 1569 U -5 -1 -8 -4 -6 -3 -7 -1 -3 -5 -1 -7 0 -8 -4 -3 -1 -5 4 -5 6 0 
7 0 7 5 -5 1 5 5 8 0 3 2 -3 2 4 3 -7 4 5 7 4 4 -3 9 23 L
D0
1953 1555 U 5 -8 6 -5 2 -8 6 -4 5 -1 -3 -3 -2 -5 -4 -5 0 -6 7 0 6 0 2 -3 
-7 -5 0 -3 7 1 7 0 2 7 4 2 0 7 6 -4 -5 6 1 3 2 5 -3 0 -4 -3 3 6 0 7 -4 0 
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-2 -4 5 -7 8 2 -1 -4 1 -5 18 L
D0
1999 1547 U 5 0 6 4 5 0 -1 -4 9 -2 3 -8 -9 5 -7 2 -4 -5 2 -10 9 2 -2 5 
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0 11 -3 1 -3 8 -2 10 5 3 7 -1 3 4 8 0 3 5 -4 3 5 5 0 -7 5 2 5 7 -6 3 9 4 
7 3 8 4 -1 6 7 3 7 2 -3 3 5 1 50 L
2 7 3 6 4 7 5 7 -6 11 -2 12 -9 3 -1 4 -6 1 -5 -2 -5 -2 -7 -1 -8 -2 -6 0 
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-5 -4 -6 2 -5 11 3 5 12 -9 5 2 2 9 -3 7 -4 8 0 5 9 0 0 7 7 1 5 -7 8 3 7 4 
6 3 8 2 4 -1 6 -3 50 L
2 -11 -6 -4 -2 -5 -2 -7 4 -5 8 -2 2 -5 1 -8 1 -7 -4 -6 -5 -6 -5 -4 -4 -7 
4 -3 -1 -5 -1 -7 -7 0 -7 0 -6 6 19 L
D0
2136 1644 U 5 3 -2 8 -2 -4 -1 -7 4 L
D0
2120 1639 U 6 -2 6 -1 4 2 5 0 4 2 3 4 4 1 5 1 3 4 7 1 5 4 2 3 -4 2 4 4 
6 -3 5 3 -7 3 1 6 3 8 4 5 2 9 3 11 5 5 5 9 6 6 6 2 6 5 6 4 2 7 -2 10 -4 11 
2 10 -9 8 -7 1 -6 -5 -6 -6 -4 -1 -1 -6 -4 4 -5 12 -7 11 -7 7 1 2 -2 10 
-11 0 -3 -8 -7 0 -2 -6 -1 -11 49 L
D0
2060 1849 U 0 -11 -1 -6 0 -6 -4 -1 2 2 -4 3 -3 4 -1 5 -4 -1 -2 2 -3 -2 
-1 -4 2 -1 3 -1 1 -2 5 -1 0 -2 2 -2 2 0 1 -2 2 -1 4 -1 4 -2 1 -3 4 -4 4 -2 
2 1 -2 8 5 -5 1 3 3 -2 -2 -1 0 -2 3 1 3 0 2 2 -3 5 -2 5 -5 5 -3 0 -3 -1 
1 -3 -3 2 -4 1 3 0 2 2 3 1 -2 7 -6 4 -7 6 50 L
2060 1882 U -2 0 -3 0 -2 3 -3 0 -2 -2 -2 -2 1 -2 -2 -2 2 -4 5 0 3 -1 2 1 
2 -2 1 0 -1 4 2 -2 3 0 4 -2 1 3 3 0 -5 5 -2 0 -3 0 -2 -1 -1 1 3 1 2 0 -4 2 28 L
D0
2142 1787 U -6 10 -5 2 -4 9 5 -2 7 -2 1 5 4 4 1 4 -11 10 4 0 7 -2 7 -1 
7 -2 1 3 -7 4 -7 3 1 4 7 -1 6 -5 6 0 3 -4 5 -10 8 -5 8 -3 -2 -3 -5 1 -6 2 
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6 -1 2 -3 6 -2 4 1 6 0 1 -3 -4 -3 6 -2 4 -1 50 L
3 3 3 2 -6 8 3 3 5 0 4 -3 9 -4 -2 -3 -4 -2 11 -6 5 0 8 -1 -9 6 13 L
D0
1886 1704 U -4 -2 -6 -3 -1 1 -4 -2 -1 -5 -2 2 -3 -3 -1 -3 -1 -4 5 -3 0 -2 
2 -1 -2 -3 4 1 2 -3 3 -1 1 5 6 2 2 -3 5 1 4 0 1 3 4 -3 1 4 2 0 4 5 1 -4 
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-6 0 -1 7 5 1 -6 1 -6 1 -1 4 -5 1 -5 0 50 L
0 -1 -5 -2 -5 -1 3 L
D0
2262 1767 U 1 -1 -2 -3 7 -2 2 1 -6 4 0 2 -10 9 -6 8 2 2 -1 2 -8 5 -6 6 
-6 5 -8 1 -5 3 -8 3 -4 7 11 -5 7 -1 7 -2 9 -2 8 -3 5 0 5 0 5 0 7 -3 7 -2 
1 3 -9 2 -10 5 -10 6 5 2 -4 3 3 1 5 -6 5 2 2 3 3 0 4 2 2 2 0 5 2 4 5 -5 
-2 -4 2 -6 4 -1 2 4 3 3 4 1 2 4 50 L
5 0 7 -2 -1 4 -11 3 8 -1 0 3 -6 3 -8 2 -5 0 -5 2 5 0 6 0 6 -1 15 -10 9 -5 
8 -3 0 2 -12 4 -6 6 3 1 -7 7 -15 6 -7 7 -15 10 -3 0 -4 -2 -7 1 4 2 1 4 
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14 -11 11 -4 3 -4 11 -9 6 -2 5 0 4 0 50 L
-21 10 3 1 -4 2 0 1 1 2 5 0 3 0 3 1 4 1 -6 3 1 2 0 1 4 1 1 2 -2 4 -2 3 
-3 4 -4 3 -4 1 -7 2 0 2 3 0 2 2 3 2 3 1 5 1 4 0 -12 6 -12 7 12 -11 -9 4 
-4 0 -1 1 7 2 7 -3 9 -2 36 L
D0
2271 1907 U -3 -1 1 -1 7 -2 13 -6 6 -1 5 0 4 -1 7 -2 3 -2 3 -1 9 -2 3 -1 
0 2 0 1 -3 3 -6 2 -3 3 -3 0 -2 1 2 1 -9 3 -2 0 0 -2 2 -2 -3 2 -5 3 -4 0 
-11 3 -2 0 -5 0 -4 0 31 L
D0
2294 1900 U 2 -2 0 -2 -3 -1 0 -1 -2 -1 1 -1 9 -4 7 -1 6 -1 7 -1 -1 1 -7 5 
-9 4 -10 5 14 L
D0
2329 1887 U 6 -2 2 1 -3 2 -8 1 -10 3 0 2 10 -2 5 1 -2 2 -3 1 -3 -1 -2 1 
-6 4 3 1 1 2 4 1 -3 3 8 -4 -1 -2 2 -3 2 -2 4 -4 4 -4 2 -2 4 -4 7 -4 13 -6 
9 -2 4 0 9 -2 5 0 0 2 5 0 2 0 -4 2 2 1 2 1 3 -3 4 -2 3 0 5 0 4 1 2 -3 0 -1 
5 0 7 -1 0 1 -2 3 -4 3 -13 7 50 L
-4 2 -10 2 -13 4 7 -1 3 2 2 1 3 1 3 2 -6 3 8 0 11 -3 -8 4 -18 8 6 -1 8 -1 
16 -3 15 -3 1 -2 -5 0 7 -3 10 -3 8 -1 7 0 5 0 2 1 6 -2 0 2 8 -2 1 0 3 1 
0 2 -11 3 -10 4 5 0 3 1 5 0 3 1 7 -1 3 -2 8 -1 3 1 5 0 3 1 0 2 2 1 11 -3 
2 -1 4 -2 48 L
D0
2470 1909 U 8 -3 2 -2 7 -2 8 -3 14 -1 7 -1 1 1 -4 2 -8 3 -10 3 -7 1 -13 2 
-5 0 13 L
D0
2468 1918 U 5 -2 11 -3 7 -1 5 1 25 -5 -17 5 -11 1 -13 4 -7 1 -5 -1 10 L
D0
2488 1923 U 4 -2 6 -2 5 0 1 1 4 0 4 1 2 1 7 -1 -6 1 -13 2 -8 0 -1 0 -5 -1 13 L
D0
2518 1904 U 5 -2 10 -1 8 0 -1 2 -5 1 -4 3 -2 -1 -4 0 -5 -1 -2 -1 10 L
D0
2532 1893 U 7 0 8 0 16 -3 -8 0 12 -4 8 0 -2 2 -17 6 5 0 2 2 8 0 5 1 -1 3 
-3 3 7 0 9 0 13 -5 13 -2 8 0 5 1 2 1 3 2 -1 2 -1 2 3 2 6 -1 10 -2 3 2 11 -3 
11 -4 7 0 5 1 3 1 5 1 5 0 5 1 5 0 2 1 5 0 2 2 -7 1 -4 2 2 1 43 L
D0
2250 1774 U -5 -2 3 -4 7 -3 0 5 -5 4 5 L
D0
2128 1894 U -1 -3 -2 -1 3 -2 -2 -2 6 -3 0 3 1 1 2 3 -7 4 9 L
D0
2143 1904 U -1 -1 5 -4 4 -2 -3 -1 5 -1 2 0 0 2 -1 3 -2 3 -3 1 -3 1 -3 -1 12 L
D0
2158 1902 U 5 -3 -2 -1 5 -3 1 2 2 0 -3 3 -4 2 -2 0 -2 0 9 L
D0
2156 1911 U 5 -3 3 -1 0 2 0 1 -4 3 -5 2 4 -3 -3 -1 8 L
D0
2272 1797 U 1 -3 6 -2 10 -5 8 -10 9 -7 1 -5 3 -7 3 -5 0 -4 0 -4 0 -2 -1 -3 
-2 -1 -1 -3 -2 -2 0 -2 -2 -2 4 -4 6 -3 3 1 2 1 1 2 -3 2 1 1 1 3 2 1 4 0 
2 1 2 2 1 2 -2 5 1 3 3 1 -9 10 1 4 -1 2 -7 4 3 3 -3 5 -5 4 2 2 -7 8 -5 0 
-5 1 -4 4 -5 1 -6 0 -5 1 -5 0 49 L
D0
2709 1909 U 4 2 8 0 5 1 -2 3 5 1 5 1 5 1 1 1 -32 6 -8 3 -1 3 11 L
D0
2655 1940 U -4 2 -9 3 -7 1 3 L
D0
1365 1946 U 1 1 -5 2 -7 0 -12 -4 1 -2 2 0 6 L
D0
2655 1943 U 2 -3 -2 0 2 L
D0
2699 1931 U 2 0 11 0 8 0 3 L
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grestore grestore %% tail for single or double column display
%%EndDocument
 @endspecial 58 x(Figure)27 b(58:)45 b(Oblique)27 b(Mollwiede)f(pro)r
(jection)i(prop)q(osed)1013 2406 y(b)o(y)17 b(Close,)g
Fe(+proj=ob)p 1379 2406 V 14 w(tran)p Fs(,)g Fe(+o)p
1554 2406 V 15 w(proj=moll)p Fs(,)f Fe(+o)p 1839 2406
V 15 w(lat)p 1920 2406 V 15 w(p=0)p Fs(,)1013 2456 y
Fe(+o)p 1060 2456 V 15 w(lon)p 1141 2456 V 15 w(p=90)p
Fs(,)d Fe(+lon)p 1357 2456 V 15 w(0=160)p Fs(.)k(10)1550
2441 y Fq(\016)1582 2456 y Fs(graticule.)p eop
%%Page: 21 21
21 20 bop -58 -75 a Fo(REFERENCES)1741 b Fs(21)-58 70
y Fu(References)-37 161 y Fs([1])19 b(Jr.)12 b(John)f(B.)g(Carv)o(er,)h
(editor.)i Fa(A)o(tlas)e(of)g(the)h(World)p Fs(.)g(Na-)27
211 y(tional)c(Geographic)g(So)q(ciet)o(y)m(,)h(W)m(ashington,)f(D.C.,)
g(sixth)27 261 y(edition,)k(1990.)-37 344 y([2])19 b(D.)10
b(H.)h(Mahling.)g(A)g(review)g(of)g(some)f(Russian)g(map)f(pro-)27
394 y(jections.)17 b Fa(Empir)n(e)d(Survey)h(R)n(eview)p
Fs(,)e(15\(115{117\):203)o({)27 443 y(215,)g(255{266,)f(294{303,)f
(1960.)-37 527 y([3])19 b(D.)12 b(H.)h(Mahling.)i Fa(Co)n(or)n(dinate)f
(Systems)g(and)h(Map)g(Pr)n(o-)27 576 y(je)n(ctions)p
Fs(.)25 b(P)o(ergamon)16 b(Press,)i(New)f(Y)m(ork,)f(second)h(edi-)27
626 y(tion,)c(1992.)-37 709 y([4])19 b(F)m(rederic)o(k)k(P)o(earson)h
(I)q(I.)43 b Fa(Map)24 b(Pr)n(oje)n(ction)e(Metho)n(ds)p
Fs(.)27 759 y(Sigma)12 b(Scien)o(ti\014c,)i(Blac)o(ksburg,)f(Virginia,)
f(1984.)-37 842 y([5])19 b(F)m(rederic)o(k)11 b(P)o(earson)g(I)q(I.)h
Fa(Map)g(Pr)n(oje)n(ctions:)k(The)n(ory)11 b(and)27 892
y(Applic)n(ations)p Fs(.)38 b(CR)o(C)20 b(Press,)j(Bo)q(ca)f(Raton,)f
(Florida,)27 942 y(1990.)-37 1025 y([6])e(Author)26 b(H.)f(Robinson.)52
b(A)26 b(new)g(map)e(pro)r(jection:)27 1074 y(Its)15
b(dev)o(elopmen)o(t)f(and)g(c)o(haracteristics.)21 b
Fa(International)27 1124 y(Y)m(e)n(arb)n(o)n(ok)15 b(of)g(Carto)n(gr)n
(aphy)p Fs(,)e(14:145{155,)d(1974.)-37 1207 y([7])19
b(John)d(P)m(.)f(Sn)o(yder.)25 b(A)15 b(comparison)g(of)g(pseudo)q
(cylindri-)27 1257 y(cal)f(map)f(pro)r(jections.)20 b
Fa(The)15 b(A)o(meric)n(an)g(Carto)n(gr)n(apher)p Fs(,)27
1307 y(4\(1\):60{81,)d(1977.)-37 1390 y([8])19 b(John)13
b(P)m(.)e(Sn)o(yder.)16 b(Lab)q(eling)c(pro)r(jections)h(on)f
(published)27 1440 y(maps.)31 b Fa(The)19 b(A)o(meric)n(an)g(Carto)n
(gr)n(apher)p Fs(,)g(14\(1\):21{27,)27 1490 y(1987.)-37
1573 y([9])g(John)12 b(P)m(.)e(Sn)o(yder.)15 b(Map)c(pro)r(jections|a)g
(w)o(orking)g(man-)27 1622 y(ual.)17 b(Prof.)d(P)o(ap)q(er)g(1395,)f
(U.S.)g(Geol.)g(Surv)o(ey)m(,)g(1987.)-58 1705 y([10])19
b(John)k(P)m(.)e(Sn)o(yder.)44 b Fa(Flattening)22 b(of)h(the)f
(Earth|Two)27 1755 y(Thousand)k(Y)m(e)n(ars)e(of)h(Map)g(Pr)n(oje)n
(ctions)p Fs(.)50 b(Univ.)24 b(of)27 1805 y(Chicago)13
b(Press,)i(Chicago)f(and)f(London,)g(1993.)-58 1888 y([11])19
b(John)14 b(P)m(.)e(Sn)o(yder)i(and)f(Philip)f(M.)h(V)m(o)o(xland.)j
(An)d(album)27 1938 y(of)j(map)f(pro)r(jections.)26 b(Prof.)16
b(P)o(ap)q(er)h(1453,)f(U.S.)f(Geol.)27 1988 y(Surv)o(ey)m(,)f(1989.)
-58 2071 y([12])19 b(U.S.)i(Geological)e(Surv)o(ey.)40
b Fb(GCTP)p Fs(|general)20 b(carto-)27 2121 y(graphic)g(transformation)
f(pac)o(k)n(age.)37 b(NMD)20 b(Soft)o(w)o(are)27 2170
y(Do)q(cumen)o(tation,)12 b(U.S.)h(Geol.)g(Surv)o(ey)m(,)g(1990.)p
eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF
generated by cgit v1.2.3 (git 2.25.1) at 2025-12-15 15:24:53 +0000