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

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Black, Young, and Young, Tavistock-Street, Covent-Garden., 1825 - 653 sider
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Innhold

N 243
11
255
11
870
13
650
23
880
25
6
64
10
78
440
98
109
369
13
379
75
388
127
413
80
420
143
458
94
460
148
507

60
100
9
116
7
125
8
138
N
147
260
152
70
158
470
174
739
190
38
208
280
209
6
215
303
221
80
249
367
251
3
253
8
254
58
255
365
257
7
262
90
268
21
274
180
277
185
284
10
291
91
292
345676
306
10
350
n 2
530
29
561
10
574
24
586
12
592
900
636
n 5
639
9
645
11
647
10
653
35
664
9396774
673
12
674
OPTICS
686
182
717
103
721
6789
725
6
726
132
727
208
733
n 11
740
403
745
416
746
407
23
20
4
14

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Side 654 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Side 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.
Side 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.
Side 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.
Side 657 - 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...
Side 693 - 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.
Side 713 - This is the same as saying that when a ray of light passes out of one medium into another, the...
Side 685 - 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...
Side 658 - 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.
Side 655 - 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...

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