A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volume 1W.E. Dean, 1831 - Mathematics |
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Page 354
... frustum EGNг , is equal to the difference between the cylinder EGLO and the cone INQ , all of the same common height IK . And that the spherical segment PFN , is equal to the difference between the cylinder ABLO and the conic frustum ...
... frustum EGNг , is equal to the difference between the cylinder EGLO and the cone INQ , all of the same common height IK . And that the spherical segment PFN , is equal to the difference between the cylinder ABLO and the conic frustum ...
Page 422
... frustum of a square pyramid , whose slant height is 10 feet ; also each side of the base or greater end being 3 feet 4 inches , and each side of the less end 2 feet 2 inches ? Ans . 110 feet . Ex . 2. To find the convex surface of the ...
... frustum of a square pyramid , whose slant height is 10 feet ; also each side of the base or greater end being 3 feet 4 inches , and each side of the less end 2 feet 2 inches ? Ans . 110 feet . Ex . 2. To find the convex surface of the ...
Page 424
... frustum , will give its con- tent * . " Let ABCD be any pyramid , of which BCDGFE is a frustum . And put a2 for the area of the base RCD , b2 the area of the top , EFG , h the height 1H of the frustum , and c the height A1 of the top ...
... frustum , will give its con- tent * . " Let ABCD be any pyramid , of which BCDGFE is a frustum . And put a2 for the area of the base RCD , b2 the area of the top , EFG , h the height 1H of the frustum , and c the height A1 of the top ...
Page 425
... frustum are circles or regular polygons . In this latter case , square one side of each poly . gon , and also multiply the one side by the other ; add all these three products together ; then multiply their , sum by the tabular area ...
... frustum are circles or regular polygons . In this latter case , square one side of each poly . gon , and also multiply the one side by the other ; add all these three products together ; then multiply their , sum by the tabular area ...
Page 426
... frustum , multiply A B R -K OL QP E G 1 These rules come from the following theorems for the surface of a sphere , viz . That the said surface is equal to the curve surface of its cir- cumscribing cylinder ; or that it is equal to 4 ...
... frustum , multiply A B R -K OL QP E G 1 These rules come from the following theorems for the surface of a sphere , viz . That the said surface is equal to the curve surface of its cir- cumscribing cylinder ; or that it is equal to 4 ...
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A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton No preview available - 2015 |
Common terms and phrases
ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference common cone consequently Cosine cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide dividend divisor draw ellipse equal equation equiangular EXAM EXAMPLES feet figure fraction frustum Geom geometrical progression given number gives greater half Hence inches infinite series inscribed length Let ABC logarithm measure multiply ordinates parabola parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce right angles right line right-angled triangle rule side AC sine solid square root subtract surd surface 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 284 - If a straight line be divided into any two parts, the square on the whole line is...
Page 408 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant...
Page 297 - 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 273 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Page 236 - 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 133 - 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 278 - 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 19 - 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 265 - 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.