## A concise system of mathematics |

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### Common terms and phrases

acres added angle axis base bottom breadth bushels called centre circle circumference common contained corner Cosine Cotang curve depth describe diagonal diameter difference direction distance divided divisor draw drawn equal equation extremities feet field figure foot four give given greater greatest half height imperial gallons inches join length less logarithm mark mean measured meet method middle multiplied Note opposite parallel perches perpendicular plane poles Prob Prop proportional quantity quotient radius ratio reduced remainder Required the area Required the content roods root round RULE segment side Sine solid square station straight line subtract Suppose surface survey taken Tang tangent thickness third took triangle whole yards

### Popular passages

Page 30 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.

Page 19 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 58 - The sum of any number of terms in arithmetical progression is equal to the sum of the extremes multiplied by half the number of terms.

Page 335 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 336 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

Page 19 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.

Page 58 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.

Page 13 - C, indicates that the sum of A and B is to be multiplied by C ; and (A + B) -=- C, indicates that the sum of A and B is to be divided by C.

Page 130 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.

Page 141 - ... containing ten pounds avoirdupois weight of distilled water, weighed in air, at the temperature of 62...