The Enquirer: Or, Literary, Mathematical, and Philosophical Repository ..., Volume 2 |
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Page 83
Hence allowing the Mediterranean to be 40 degrees long , and 4 degrees broad at a medium , and consequently its whole surface 160 square degrees , it will in every twelve hours yield 5280 millions of tuns of water , whereas it receives ...
Hence allowing the Mediterranean to be 40 degrees long , and 4 degrees broad at a medium , and consequently its whole surface 160 square degrees , it will in every twelve hours yield 5280 millions of tuns of water , whereas it receives ...
Page 102
After rectifying this error the solution may be as follows : Let a ' be the given square , and x the less number ; then , ax will be the greater . But , by hypothesis , x -x a2 — 2x = √ / a2 = a , and α ' a2 - 2x = a ; in each of these ...
After rectifying this error the solution may be as follows : Let a ' be the given square , and x the less number ; then , ax will be the greater . But , by hypothesis , x -x a2 — 2x = √ / a2 = a , and α ' a2 - 2x = a ; in each of these ...
Page 103
e2 ;; where e and d may be which must be a square , because its equal a2 is a square ; to make c2 + d2 + e2 a square , assume it equal ( 6 + d ) 2 = c2 + 2cd + d2 , from whence c or d may be found , viz . c = 2d any numbers at pleasure ...
e2 ;; where e and d may be which must be a square , because its equal a2 is a square ; to make c2 + d2 + e2 a square , assume it equal ( 6 + d ) 2 = c2 + 2cd + d2 , from whence c or d may be found , viz . c = 2d any numbers at pleasure ...
Page 104
Let the roots of the required squares be denoted by -x and x ; then by the question ( x ) 2 + x = x2 + x + , and r2- -x + , are squares , and we have only to make ( -a ) —x2 - a square ; assume 1 + n2 1 — 12 , and — r = ་ 2 품 where 8 8 ...
Let the roots of the required squares be denoted by -x and x ; then by the question ( x ) 2 + x = x2 + x + , and r2- -x + , are squares , and we have only to make ( -a ) —x2 - a square ; assume 1 + n2 1 — 12 , and — r = ་ 2 품 where 8 8 ...
Page 106
... in this case 1777 square yards the area of the space AEBA , which taken from 3927 , the area of the semi - circle AD B , leaves 2149 yards for the area of AEBDA . Note . The length of the curve is found in page 251 , No. 13 , Math .
... in this case 1777 square yards the area of the space AEBA , which taken from 3927 , the area of the semi - circle AD B , leaves 2149 yards for the area of AEBDA . Note . The length of the curve is found in page 251 , No. 13 , Math .
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Popular passages
Page 197 - But that I am forbid To tell the secrets of my prison-house, I could a tale unfold whose lightest word Would harrow up thy soul, freeze thy young blood, Make thy two eyes, like stars, start from their spheres, Thy knotted and combined locks to part And each particular hair to stand on end, Like quills upon the fretful porcupine : But this eternal blazon must not be To ears of flesh and blood.
Page 322 - God made the earth and the heavens, and every plant of the field before it was in the earth, and every herb of the field before it grew : for the Lord God had not caused it to rain upon the earth, and there was not a man to till, the ground. But there went up a mist from the earth, and watered the whole face of the ground.
Page 309 - ... twere the mirror up to nature ; to show virtue her own feature, scorn her own image, and the very age and body of the time his form and pressure. Now, this overdone, or come tardy off, though it make the unskilful laugh, cannot but make the judicious grieve ; the censure of which one must, in your allowance, o'erweigh a whole theatre of others.
Page 49 - tis all a cheat; Yet, fooled with hope, men favour the deceit; Trust on, and think to-morrow will repay: To-morrow's falser than the former day; Lies worse, and, while it says, we shall be blest With some new joys, cuts off what we possest.
Page 163 - As long as boys and girls run about in the dirt, and trundle hoops together, they are both precisely alike. If you catch up one-half of these creatures, and train them to a particular set of actions and opinions, and the other half to a perfectly opposite set, of course their understandings will differ as one or the other sort of occupations has called this or that talent into action.
Page 169 - Then women have, of course, all ignorant men for enemies to their instruction, who being bound (as they think), in point of sex, to know more, are not well pleased, in point of fact, to know less. But among men of sense and liberal politeness, a woman who has successfully cultivated her mind, without diminishing the gentleness and propriety of her manners, is always sure to meet with a respect and attention bordering upon enthusiasm.
Page 123 - Oh Death ! where is thy sting ? Oh Grave ! where is thy victory ? The sting of Death is sin, and the strength of sin is the Law.
Page 170 - ... modesty and the refined manners of women to their being well taught in moral and religious duty, to the hazardous situation in which they are placed, to that perpetual vigilance which it is their duty to exercise over thought, word, and action, and to that cultivation of the mild virtues which those who cultivate the stern and magnanimous virtues expect at their hands.
Page 286 - ... why the disproportion in knowledge between the two sexes should be so great, when the inequality in natural talents is so small; or why the understanding of women should be lavished upon trifles, when nature has made it capable of higher and better things, we profess ourselves not able to understand.
Page 204 - And the Lord said, My Spirit shall not always strive with man, for that he also is flesh: yet his days shall be a hundred and twenty years.
Bibliographic information
| Title | The Enquirer: Or, Literary, Mathematical, and Philosophical Repository ..., Volume 2 |
| Editors | William Marrat, Pishey Thompson |
| Publisher | Whittingham and Rowland., 1812 |
| Original from | the University of Michigan |
| Digitized | 15 Jun 2007 |
| Export Citation | BiBTeX EndNote RefMan |