Book,  Chapter

  1      I,  I     |                that three and four are equal to seven, till he comes
  2      I,  I     |              eighteen and nineteen are equal to thirty-seven, by the
  3      I,  I     |                knows one and two to be equal to three: yet a child knows
  4      I,  I     |             then “that one and two are equal to three, that sweetness
  5      I,  I     |             thus, that one and two are equal to three, that two and two
  6      I,  I     |            three, that two and two are equal to four, and a multitude
  7      I,  I     |               as that “one and two are equal to three,” that “green is
  8      I,  I     |              hearing.~20. “One and one equal to Two, &c., not general
  9      I,  I     |    propositions, viz. “two and two are equal to four,” “red is not blue,” &
 10      I,  I     |            they being upon this ground equal. And as to the difference
 11      I,  II    |             angles of a triangle being equal to two right ones: because
 12      I,  III   |              of two straight lines are equal. There was never any rational
 13      I,  III   |                of a triangle are quite equal to two right ones is a truth
 14      I,  III   |               angles of a triangle are equal to two right ones, takes
 15     II,  XIII  |             mustard-seed, a void space equal to the bulk of a mustard-seed
 16     II,  XIII  |                be a space void of body equal to the smallest separate
 17     II,  XIII  |              space necessary to motion equal to the least parcel of the
 18     II,  XIII  |            solidity, so that a body of equal dimensions to that empty
 19     II,  XIV   |                its whole duration into equal periods. In the measuring
 20     II,  XIV   |               duration into apparently equal portions, by constantly
 21     II,  XIV   |              all mankind, and supposed equal to one another, have been
 22     II,  XIV   |               be certainly known to be equal. But perhaps it will be
 23     II,  XIV   |           known that such periods were equal? To which I answer,—the
 24     II,  XIV   |        nuchtheerha, were guessed to be equal, which was sufficient to
 25     II,  XIV   |                be proved to be exactly equal. We must, therefore, carefully
 26     II,  XIV   |              going on in one constant, equal, uniform course: but none
 27     II,  XIV   |          assigned parts or periods are equal in duration one to another;
 28     II,  XIV   |            never be demonstrated to be equal. The motion of the sun,
 29     II,  XIV   |               swings of a pendulum are equal, it would be very hard to
 30     II,  XIV   |              now. The idea of duration equal to an annual revolution
 31     II,  XIV   |               have been 5639 years, or equal to 5639 annual revolutions
 32     II,  XIV   |              doth now) would have been equal to three of his diurnal
 33     II,  XIV   |              can but consider duration equal to one minute, before either
 34     II,  XV    |            idea of length, and make it equal to two spans, or two paces;
 35     II,  XV    |                any occasion do suppose equal to certain lengths of measured
 36     II,  XV    | undistinguished duration as we suppose equal to, and would have admitted,
 37     II,  XV    |               much of that space as is equal to, or capable to receive,
 38     II,  XVI   |               lines which appear of an equal length, one may be longer
 39     II,  XVII  |        increase by the addition of any equal or less parts, afford us,
 40     II,  XVII  |               add another of a less or equal whiteness, (and of a whiter
 41     II,  XXI   |               is always joined desire, equal to the pain or uneasiness
 42     II,  XXI   |                eased of, with a desire equal to that pain, and inseparable
 43     II,  XXI   |              desire and uneasiness are equal. As much as we desire any
 44     II,  XXI   |       acknowledged to have, cause pain equal to that greatness; as all
 45     II,  XXI   |              as all pain causes desire equal to itself: because the absence
 46     II,  XXI   |               think nothing absent can equal; because, under the present
 47     II,  XXI   |           think, can exceed, or almost equal, the uneasiness that sits
 48     II,  XXIII |                considered, gives us an equal view of both parts of nature,
 49     II,  XXVI  |          duration of her existence was equal to sixty-nine, and the duration
 50     II,  XXVIII|            idea, v.g. whiter, sweeter, equal, more, &c. These relations
 51     II,  XXVIII|             extension, I have, too, of equal, or more, or less, of each
 52     II,  XXIX  |                 viz. gold or wax of an equal bulk, and make it into a
 53     II,  XXIX  |              could be divided into two equal numbers, and of the others
 54     II,  XXXI  |              upwards any other body of equal bulk, they being put into
 55     II,  XXXI  |               being put into a pair of equal scales, one against another.
 56    III,  VIII  |               justice, just; equality, equal: only with this difference,
 57    III,  IX    |            numerous, and having all an equal right to go into the complex
 58     IV,  I     |               angles of a triangle are equal to two right ones, what
 59     IV,  I     |          identity. “Two triangles upon equal bases between two parallels
 60     IV,  I     |              between two parallels are equal,” is of relation. “Iron
 61     IV,  I     |               angles of a triangle are equal to two right ones, is certain
 62     IV,  I     |               angles of a triangle are equal to two right ones,” one
 63     IV,  I     |               angles of a triangle are equal to two right ones. The immutability
 64     IV,  I     |                of a triangle were once equal to two right ones, they
 65     IV,  I     |              ones, they will always be equal to two right ones. And hence
 66     IV,  II    |            three are more than two and equal to one and two. Such kinds
 67     IV,  II    |           equality; and, finding those equal to two right ones. comes
 68     IV,  II    |              body appear, that from an equal space sends to the retina
 69     IV,  III   |              triangle, both drawn from equal bases, and between parallels,
 70     IV,  III   |               way know whether they be equal or no; because their agreement
 71     IV,  III   |               be able to find a circle equal to a square, and certainly
 72     IV,  III   |             will be found clogged with equal difficulties. For what safety,
 73     IV,  III   |              triangle has three angles equal to two right ones. Again: “
 74     IV,  IV    |              that its three angles are equal to two right ones? It is
 75     IV,  V     |               into a certain number of equal parts: v.g. into five, ten,
 76     IV,  V     |               not divisible, into such equal parts, as a certain number
 77     IV,  V     |         certain number of them will be equal to the sideline. Now, whenever
 78     IV,  VI    |          right-lined triangles are all equal to two right ones.~11. The
 79     IV,  VII   |              visible, and that with an equal certainty and easiness in
 80     IV,  VII   |                idea of filling a place equal to the contents of its superficies,
 81     IV,  VII   |          equals, the remainder will be equal”; which, with the rest of
 82     IV,  VII   |           these,—that “one and one are equal to two”; that “if you take
 83     IV,  VII   |              remaining numbers will be equal.” These and a thousand other
 84     IV,  VII   |                 and carry with them an equal, if not greater clearness,
 85     IV,  VII   |              know that one and two are equal to three, but by virtue
 86     IV,  VII   |              axiom, viz. “the whole is equal to all its parts taken together?”
 87     IV,  VII   |             knows that one and two are equal to three, without having
 88     IV,  VII   |              knows, that “the whole is equal to all its parts,” or any
 89     IV,  VII   |           knowledge, that the whole is equal to all its parts, does he
 90     IV,  VII   |              know that one and two are equal to three, better or more
 91     IV,  VII   |              to another. “The whole is equal to all its parts”: what
 92     IV,  VII   |            less than that the whole is equal to all its parts. And, upon
 93     IV,  VII   |             proposition, “The whole is equal to all its parts”; and that,
 94     IV,  VII   |              proposition, that two are equal to two, will also have need
 95     IV,  X     |         evidence be (if I mistake not) equal to mathematical certainty:
 96     IV,  X     |             real being, than it can be equal to two right angles. If
 97     IV,  X     |                of all being, cannot be equal to two right angles, it
 98     IV,  X     |              made out of nothing by an equal power, but that you have
 99     IV,  XII   |                each of their hands are equal? Cannot she know this, I
100     IV,  XII   |               of the two lines will be equal, or that if you take equals
101     IV,  XII   |               right-angled triangle is equal to the squares of the two
102     IV,  XII   |           knowledge that “the whole is equal to all its parts,” and “
103     IV,  XII   |          equals, the remainder will be equal,” &c., helped him not, I
104     IV,  XIII  |          choose but know that they are equal: he that hath got the idea
105     IV,  XIII  |              that its three angles are equal to two right ones; and can
106     IV,  XV    |             angles of a triangle to be equal to two right ones, assents
107     IV,  XV    |               angles of a triangle are equal to two right ones, that
108     IV,  XVIII |              angles of a triangle were equal to two right ones, I might
109     IV,  XVIII |            revelations, can exceed, if equal, the certainty of our intuitive