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## Search Loci: Convergence:

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Theology, Mr. Fortune found, is a more accommodating subject than mathematics; its technique of exposition allows greater latitude. For instance when you are gravelled for matter there is always the moral to fall back upon. Comparisons too may be drawn, leading cases cited, types and antetypes analysed and anecdotes introduced. Except for Archimedes mathematics is singularly naked of anecdotes.

Mr. Fortune's Maggot.

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# Loci: Convergence

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### A Cow, a Horse and a Goat

A cow, a horse, and a goat were in a wheat field and consumed some stalks of wheat. Damages of 5 baskets of grain were asked by the wheat field's owner...

### Neither Rain nor Sleet nor Snow

If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...

### Mutually tangent circles

Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.

### Height and Distance

An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.

### Pyramid calculation

Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side to the apex.

### Fields of Grain

I have two fields of grain. From the first field I harvest 2/3 a bushel of gran/unit area; from the second, 1/2 bushel/unit area.

### Traveling men

Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.

### Water Reeds

Of the two water reeds, the one grows 3 feet and the other 1 foot onthe first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.

### Faster than a Speeding Horse

A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?

### And I Ain't Lion

I am a brazen lion; my spouts are my 2 eyes, my mouth, and the flat of my foot. My right eye fills a jar in 2 days, my left eye in 3, and my foot in 4.

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