Potential of elliptic disc, law,  Q.14
Potential of homogeneous polyhedra J.69
Potential, a related integral L.45
Potential, cyclic-hyperbolic, tables J.4 6 7 8 9
Potential, elliptic J.47
Potential, Gauss's f. and theory Z.84
Potential, gz. of first and second L.79
Potential, history of J.86
Potential, Jellett's eq. and ap. Q.16
Potential, Newton's M.11 13 16
Potential, one-valued J.64
Potential, p.d.e of C.90
Potential, Poncelet's ths Z.3
Potential, surfaces J.54
Potential, surfaces, conicoids, &c. 79
Potential, vector Me.80
Pothenot's problem of the sphere A.44 47 54
Power remainders M.20
Powers and determinants, relation Z.24
Powers of negative quantics Me.73
Powers of polynomials JP.15
Powers, angular functions, &c. J.7
Prepotentials P.75
Prime divisors of quartics J.3
Prime factors of numbers J.51 N.71 75
Prime-pairs Me.79
PRIMES 349—378 A.2 19 AJ.7 fAn.69 C.ths13 49 50 f63 96 G.5 J.th12 th14 20 L.52 54 th79 LM.2 M.21 Me.41 N.46 56 Pr.5 Q.5
Primes in a composite number C.32
Primes in ar.p Z.6
Primes of a geo. form, limit of C.74
Primes on that prime number  for which the class-number formed from the  roots of unity is divisible by Mo.74
Primes,  with k=20, 36, 44, 56, or 116, and n an odd number L.65
Primes, calculation of J.10
Primes, calculation of, in 1st million M.25
Primes, distribution of, ap.of recurring series C.82
Primes, division of a prime 4n+1 into sum of squares J.50
Primes, division of a prime 4n+1 into sum of squares, ditto of 8n+3, 7n+2, and 7n+4 J.37
Primes, even number=sum of 2 odd primes(?) E.10 N.79
Primes, Fibonacci's problem LM.11
Primes, Fibonacci's problem of the following forms and theorems respecting them,  with m odd L.66
Primes, Fibonacci's problem of the following forms and theorems respecting them, 120k+31, 61, 79, or 109 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 12k+5 L.61 63
Primes, Fibonacci's problem of the following forms and theorems respecting them, 168k+43, 67, or 163 L.63
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+11 L.60—62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+13 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+3 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 16k+7 L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 20k+3, 20k+7 L.63 64
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+1, 5, or 7 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+11 or 19 L.60
Primes, Fibonacci's problem of the following forms and theorems respecting them, 24k+13 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+11 or 19 L.60
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+27 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+3 L.61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 40k+7 or 23 L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them, 6k+1 J.12
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+1 L.61 62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+3 L.58 60 61 62
Primes, Fibonacci's problem of the following forms and theorems respecting them, 8k+5 or 7 L.60 61
Primes, Fibonacci's problem of the following forms and theorems respecting them: 4k+1, 4k+3 L.60
Primes, general formula for C.63
Primes, irreducibility of  , when p is a prime J.29 67 L.50 N.49
Primes, law of reciprocity between two, analogue J.9
Primes, logarithms of (2 to 109) page 6
Primes, number in a given quantity Mo.59
Primes, number infinite 357 Mo.78
Primes, number of digits in their reciprocals Pr.22 23
Primes, number within given limits A.64 C.95 M.2 Z.5
Primes, product of n, th N.74
Primes, relative 349—350 355 358 373 J.70 L.49
Primes, tables of,  for a prime or composite modulus Q.9
Primes, tables of, from  to 100001699, of 153 of the 10th million, of cube roots of to 31 places Me.78
Primes, tables of, from to 100001699, of 153 of the 10th million, of sums of reciprocals and their powers Pr.33
Primes, totality of within given limits AJ.4 L.52
Primes, transformation of linear forms of into quadratic forms C.87
Primes, up to  M.3
Primitive numbers thC.74
Primitive roots C.64 JP.11 fL.54 taJ.45
Primitive roots of binomial eqs. thsL.40 N.52
Primitive roots of primes J.49
Primitive roots of primes and their residues Me.85
Primitive roots of unity C.92
Primitive roots of unity, Abel's theorem An.56
Primitive roots of unity, divisors of functions of periods of C.92
Primitive roots of unity, period, Jacobi's method C.70
Primitive roots, product of, for an odd modulus J.31
Primitive roots, sum of, for an odd modulus J.31
Primitive roots, sum of, for an odd modulus, table, for primes below 200 Mem.38
Primitive roots, table of, for primes from 3 to 101 J.9
Principal axes of a body 5926 5960 5972 5977 J.5 JP.15 L.47 N.46
Prism: volume of A.6
Prismatoids A.39
Prismatoids, volume of Z.23
Prismoids A.39
probability 309 A.12 19 47 C.65 97 CP.9 E.27 30 G.17 I.15 J.26 30 33 34 36 42 50 L.79 N.51 73 Z.2
Probability of hypothesis after the event 324 Mel.3
Probability problems A.61 64 CD.6
Probability problems in analysis J.6
Probability problems on decisions of majorities L.38 42
Probability problems, de l'aiguille, &c. L.60
Probability problems, duration of life CM.4
Probability problems, E. all the volumes G.16 L.37 Me.4 6 Q.9
Probability problems, rouge et noir J.67
Probability theorems: Bernoulli's LM.5 P.62 TE.9 21
Probability, drawing black and white I.14 L.41
Probability, errors in Laplace p.279
Probability, errors in Laplace and Poisson p.209 CP.6
Probability, games A.11
Probability, games, head and tail C.94
Probability, local P.68 exE.7
Probability, notation LM.12
Probability, position of double stars Pr.10
Probability, principal term in the expansion of a factorial formed from a large number of factors C.19
Probability, random lines Pr.16
Probability, random lines, E. frequently. repeated trials 317—321 C.94
Probability, statistics L.38
Probability, testimony and judgment TE.21
Products continued Me.77
Products of 2 sums of 4 squares (Euler) Q.16 17
Products of 4 consecutive integers N.62
Products of differences thQ.15
Products of inertia 5906
Products of linear factors C.9
Products of n quantities in terms of sums of powers Me.71
Products, infinite, convergency of A.21
Products, infinite, convergency of, transf. of C.17
Products, systems of L.56
Progressions 79—93 An.64 C.20 G.6 7 11
Progressions of higher order G.12
Progressions with n=a fraction N.42
Projection 1075 4921 A.3 6 12 prsJ.70 Q.21 pr13
Projection and new geometry A.1
Projection of a cubic surface M.5
Projection of a curved surface on a plane J.67
Projection of an ellipsoid on a plane J.59
Projection of conics 4921—4935 A.66 J.37 86
Projection of curves J.66 Z.13
Projection of curves, loci of centres A.6
Projection of curves, on spheres Q.14
Projection of curves, tangents to cnL.37
Projection of figures in one plane A.1
Projection of Gauss Mel.2
Projection of one line on another 5529
Projection of one line on another, on a plane A.6
Projection of ruled quartics M.2
Projection of shadows N.56
Projection of skew hyperboloid Me.75
Projection of solids Man.84
Projection of surface of tetrahedron on a sphere J.70
Projection of surfaces on a plane M.5
| Projection of the sphere 1090 AJ.2
Projection of two rectangular lines 4934
Projection, central G.13
Projection, central and parallel, of quadrics into circles A.52
Projection, central, derivation from orthogonal A.62
Projection, gauche N.66
Projection, map: Mercator's 1093 A.50 G.18 JP.24 N.79
Projection, orthogonal 1087
Projection, plagiographic A.8
Projection, stereographic 1090 A.30—32 L.42 54
Projective and perspectivity of higher degree in planes J.42
Projective correspondence between two planes and two spaces G.22
Projective equations of a surface, relation to tg.e E.2
Projective figures on a quadric A.18
Projective generation of alg. surfaces A.1 2
Projective generation of alg. surfaces, of curve forms An.14 J.54 M.25 Z.18
Projective geometry A.8 An.75 At.75 78 G.12—14 17 J.8 M.17 18
Projective geometry and P.D. eqs. A.1
Projective geometry, loci and envelopes G.19
Projective geometry, ths N.77
Projective geometry, ths of Cremona G.13 14 thZ.11
Projective point series J.91
Proportion 68 A.8 G.6 13 TE.4
Pseudosfera G.10
Ptolemy's theorem A.2 67 At.19 J.13 LM.12
Ptolemy's theorem, ext. to ellipse A.30
Ptolemy's theorem, inverse of A.5
Pure mathematics, address by H.J.S. Smith, F.R.S. LM.8
Pyramid and higher n-drons prsA.9
Pyramid and prism sections, collineation, &c. A.9
Pyramid, vertices of A.2
Pyramid: triangular A.1 3 21 28 32 36 J.3 volA.14
Pythagorean Theorem A.11 17 20 24 gzJ.26 N.62
Pythagorean theorem, spherical analogue A.44 N.52
Pythagorean triangles taA.1 E.20
Quadrangle prA.55 C.95
Quadrangle and groups of conics A.1
Quadrangle metrical and kinematical properties C.95
Quadrangle of chords and tangents A.2
Quadrangle of two intersecting conics, area LM.8
Quadrangle, differential relation of sides Me.77
Quadrangle, dualism in the metric relations on the sphere and in the plane Z.6
Quadratic equations 45 A.24
Quadratic equations with imaginary coefficients A.8
Quadratic equations, graphic solution Me.76
Quadratic equations, real roots of J.61
Quadratic equations, solution by continued fractions L.40
Quadratic equations, solution by successive approximation N.74
Quadratic forms trA.15 Ac.7 C.85 J.27 f39 54 56 76 86 L.51 73 M.6 23 Mo.68 74 thsAn.54 J.53 M.20 Z.16 19 see
Quadratic forms, Dirichlet's method Mo.64
Quadratic forms, having one at least of the extreme coefficients odd L.67 69
Quadratic forms, Kronecher's L.64
Quadratic forms, multiplication of An.60
Quadratic forms, number of the genera of J.56
Quadratic forms, number which belong to a real determinant in the theory of complex numbers J.27
Quadratic forms, odd powers of sq. root of  Mel.5
Quadratic forms, positive A.11
Quadratic forms, reduction of J.39 L.48 56 57
Quadratic forms, relation, anal. investigation Z.14
Quadratic loci, intersection of AJ.6
Quadratrix 5338
Quadratrix of a curve C.76
Quadratrix, tangent, cn N.76
Quadrature 5871—5883 A.26 An.50 CD.ths5 9 E.6 J.34 L.54 Mem.24 41 N.42 f55 54 N.75 TI.1
Quadrature by lines of equal slope 5881
Quadrature from integrals of differentials in two variables M.4
Quadrature of a small geodesic triangle, Gauss's th J.16 58
Quadrature of the circle Me.74 Pr.7 20
Quadrature with equal coefiicients, f. C.90
Quadrature, approximate C.95 N.58
Quadrature, Cote's method N.56
Quadrature, Gauss's method A.32 C.84 90 J.gn55 56
Quadrature, Laplace's formula, f.d.c 3778
Quadrature, quadrics CD.1 L.63
Quadrature, quadrics, formed by intersecting cylinders An.65
Quadrature, sphero-conic J.14
Quadratures which depend upon an extended class of d.e with rational coefficients C.92
Quadric cones 5590 5618 5654 5697 N.66
Quadric cones, locus of vertex C.52
Quadric cones, through six points C.52
Quadric functions or forms A.13 38 C.44 55 78 89 95 J.47 JP.28
Quadric functions or forms in coefficients and in indeterminate complexes J.24
Quadric functions or forms in n variables Me.2
Quadric functions or forms in n variables, disappearance of products N.55
Quadric functions or forms with two series of variables C.94
Quadric functions or forms, arith 32, positive 99 algL.74 Mo.58 see
Quadric functions or forms, bipartite P.58
Quadric functions or forms, equivalence of C.93
Quadric functions or forms, quaternary An.59 L.54 M.5 13
Quadric functions or forms, quaternary, whose det. < 0 C.96
Quadric functions or forms, quaternary, whose det. < 0 and corresponding groups of hyperabelians C.98
Quadric functions or forms, reduction of C.91 93 96 G.5
Quadric functions or forms, reduction of, to sum of squares Mel.5
Quadric functions or forms, represented by others C.93
Quadric functions or forms, transf. of C.86 CD.4 G.1 LM.16 N.66 Q.17
Quadric functions or forms, transf. of, invariability in number of pos. and neg. squares J.53
Quadric functions or forms, transf. of, reciprocal J.50
Quadric surfaces 5582—5703 A.3 4 12 16 45 56 An.52 geo60 At.51 C.76 CD.3 G.13 14 J.1 18 38 f42 63 69 89 JP.6 L.39 43 50 M.2 23 geoMe.74 N.56 57 58 59 60 61 77 Z.5 cn13
Quadric surfaces and their umbilics C.54
Quadric surfaces of constant sectional area N.43
Quadric surfaces of revolution N.72 81
Quadric surfaces of revolution, through 5 points 66 79
Quadric surfaces through 12 points G.17 22
Quadric surfaces through 9 points or under 8 conditions C.62
Quadric surfaces through 9 points or under 9 conditions A.17 CD.4 J.24 62 68 L.58 59 Q.8 Z.25
Quadric surfaces through a twisted quintic curve E.38
Quadric surfaces without foci L.36
Quadric surfaces, analogy with conics Me.72
Quadric surfaces, anharmonic section of G.12
Quadric surfaces, bifocal chords of CD.5
Quadric surfaces, central equations 5599—5672
Quadric surfaces, central sections 5650
Quadric surfaces, central sections, area 5650
Quadric surfaces, central sections, axes 5651
Quadric surfaces, central sections, locus of focus N.66
Quadric surfaces, centre, coordinates of 5690 A.16
Quadric surfaces, circular sections 5596 5601 5606 5619 C.43 CD.1 CM.1 E.30 J.47 65 71 85 N.51
Quadric surfaces, common enveloping cone G.6
Quadric surfaces, condition for a cone 5699
Quadric surfaces, conjugate diameters 5637 N.42 61
Quadric surfaces, conjugate diameters, parallel G.1
Quadric surfaces, conjugate diameters, parallelopiped on them vol.5648
Quadric surfaces, conjugate diameters, parallelopiped on them, do. of reciprocals of the perpendiculars on its faces 5644
Quadric surfaces, conjugate diameters, parallelopiped on them, sum of squares of areas of its faces 5645
Quadric surfaces, conjugate diameters, rectangular system L.58
Quadric surfaces, conjugate diameters, sum of squares of their reciprocals 5643
Quadric surfaces, conjugate diameters, sum of squares of their reciprocals, ditto of their projections on a line or plane 5646
Quadric surfaces, construction and classification by projective figures A.9
Quadric surfaces, correlation of points and planes on CD.5
Quadric surfaces, cubature of 6126—6165 A.14
Quadric surfaces, diameters 5677 5688
Quadric surfaces, diametral plane 5636 gn.eq 5689
Quadric surfaces, director-sphere of Q.8
Quadric surfaces, duplicate CD.6
Quadric surfaces, enveloping cones of 5664—5672 5697
Quadric surfaces, equation between the coeffs. J.45
Quadric surfaces, focales, a property from the theory of L.45
Quadric surfaces, general eq. 5673 CD.5 CM.4 LM.12 13 M.1 Me.64
Quadric surfaces, general eq., coefficients A.1
Quadric surfaces, general eq., condition for a cone 5699
Quadric surfaces, general eq., condition for a sphere Q.2
Quadric surfaces, generation 5607—5624 N.47 75
Quadric surfaces, generation, Jacobi's J.73
Quadric surfaces, homofocal L.60
Quadric surfaces, indices of points, lines, and planes, theory N.70
Quadric surfaces, intersection of three 5661 J.73 TN.69
Quadric surfaces, intersection of two 5660 C.64 G.6 M.15 Q.10
Quadric surfaces, intersection of two, parameter representation of M.15
Quadric surfaces, intersection of two, ruled N.83
Quadric surfaces, intersection of two, tangent to LM.13
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