## 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 fraction frustum Geom geometrical progression given number gives greater half height Hence inches infinite series inscribed length Let ABC logarithm measure multiply ordinate parabola parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol quantity Quest quotient radii radius ratio 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 FRACTIONS 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 294 - If a straight line be divided into any two parts, the square on the whole line is...

Page 418 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant...

Page 307 - 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 283 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.

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 145 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of ten miles an hour, and the dog, on view, makes after her at the rate of 18 miles an hour : How long will the course hold, and what space will be ran over from the spot where the dog started ? Am.

Page 288 - 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 22 - Or multiply the last remainder by the preceding divisor, or last but one, and to the product add the preceding remainder; multiply this sum by the next preceding divisor, and to the product add the next preceding remainder ; and so on till you have gone through all the divisors and remainders to the first, thus

Page 275 - 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.