## A Course of Mathematics: For the Use of Academies, as Well as Private Tuition |

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### Common terms and phrases

ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth centre chord circle circumference circumscribed common cone consequently Cosine cube root curve cylinder decimal denominator denotes diameter difference distance divide divisor draw ellipse equal equation equiangular equilateral ExAM EXAMPLES feet figure find the area fraction frustum Geom geometrical progression given number gives greater half height Hence inches infinite series inscribed length less logarithm manner measure multiply ordinates parabola parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol quantity Quest quotient radius ratio rect rectangle Reduce right angles right line right-angled triangle rule segment sides Sine sphere square root subtract surd surface Tang tangent theor theref triangle ABC vulgar fraction whole yards

### Popular passages

Page 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...

Page 311 - THE angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.

Page 248 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.

Page 378 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.

Page 292 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 39 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down what remains.

Page 281 - If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another.

Page 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.

Page 318 - Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 122 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.