Book,  Chapter

 1      I,  I  | proposition than assent to it when demonstrated. And few mathematicians
 2     II,  XIV|     however measured, can never be demonstrated to be equal. The motion
 3     II,  XIV|            cannot (any of them) be demonstrated to be exact. Since then
 4     IV,  I  |     particular: and when a man had demonstrated any proposition concerning
 5     IV,  II |          reason to show it.~5. The demonstrated conclusion not without doubt,
 6     IV,  II |          of proof.~7. Each step in demonstrated knowledge must have intuitive
 7     IV,  VII|            to be admired book, has demonstrated several propositions, which
 8     IV,  VII|   expressed in the propositions he demonstrated. This is the greatest exercise
 9     IV,  VII|       without a body, as Descartes demonstrated the contrary. Because the
10     IV,  VII|            you see) may be equally demonstrated, viz. that there may be
11     IV,  XII|       mathematics, which have been demonstrated to him.~9. Our knowledge
12     IV,  XV |            if they were infallibly demonstrated, and that our knowledge