# Solutions of the Cambridge Problems: From 1800 to 1820, المجلد 2

Black, Young, and Young, Tavistock-Street, Covent-Garden., 1825 - 653 من الصفحات

### ما يقوله الناس -كتابة مراجعة

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### المحتويات

 3 1 N 616 2 N 47 p 25 N 51 8 78 144 121 10 133 56 139
 4 549 8 556 OPTICS 561 8 572 376 626 346 629 896 633 5 638

 N 147 271 205 303 221 13 247 367 251 38 255 293 262 75 270 91 274 80 276 94 287 365 297 5 300 8 349 7 370 IO 293 420 N 427 INDEX 436 4 439 8 457 7 11 516 760 542
 6 644 MISCELLANIES 647 19 654 I 655 419 659 19 660 15 662 6 665 25 676 66 697 6 704 8 719 145 720 421 724 5 726 220 732 294 738 317 740 380 744 i 745 411 746

### مقاطع مشهورة

الصفحة 654 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
الصفحة 654 - IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
الصفحة 654 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
الصفحة 654 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
الصفحة 655 - B. less by 1 1 chains than the length of the sewer ; the expense of making it amounted to as many pounds per chain, as there were chains in the street leading to A. The sewer, however, being insufficient to carry off the water, an additional drain was made from a point in this street distant 4 chains from the bridge A., which entered the river at the same point with the sewer, and was equally inclined to the river and sewer. Now it was found that a drain down the middle of each street, at the rate...
الصفحة 691 - Upon comparing the observations with each other, it was discovered that in both the fore-mentioned stars, the apparent difference of declination from the maxima was always nearly proportional to the versed sine of the sun's distance from the equinoctial points. This was an inducement to think that the cause, whatever it was, had some relation to the sun's situation with respect to those points.
الصفحة 711 - This is the same as saying that when a ray of light passes out of one medium into another, the...
الصفحة 683 - W its weight in water, its weight in vacuo will be, 1 — m 6. Three globes of the same diameter and of given specific gravities, are placed in the same straight line. How must they be disposed that they may balance on the same point of the line in vacuo and in water ? 7. If a homogeneous hemisphere, floating in a fluid, be slightly inclined from the position of equilibrium...
الصفحة 656 - A ship, with a crew of 175 men, set sail with a supply of water sufficient to last to the end of the voyage ; but in 30 days the scurvy made its appearance, and carried off three men every day ; and at the same time a storm arose which protracted the voyage three weeks. They were, however, just enabled to arrive in port without any diminution in each man's daily allowance of water. Required the time of the passage, and the number of men alive when the vessel reached the harbor.
الصفحة 654 - A number of persons purchased a field for £345. The youngest contributed a certain sum, the next £5 more, the third £5 more than the second, and so on to the oldest. For the greater accommodation of the seniors, the field was divided into two parts, the younger half taking a portion proportional to the sum they had subscribed ; and in order that each might have an equal share in this portion, they agreed to equalize their contributions, and each to pay ,£22. Required the number of persons and...