A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volumen1W.E. Dean, 1831 |
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Página 339
... Cylinder , is the right line joining the centres of the two parallel circles , about which the figure is described ... Cylinders , are such as have their altitudes and the diameters of their bases proportional . 108. A Sphere , is a ...
... Cylinder , is the right line joining the centres of the two parallel circles , about which the figure is described ... Cylinders , are such as have their altitudes and the diameters of their bases proportional . 108. A Sphere , is a ...
Página 346
... cylinder be cut by a plane parallel to its base , the section will be a circle , equal to the base . Let AF be a cylinder , and GHI any sec- tion parallel to the base ABC ; then will Gur be a circle , equal to ABC . For , let the planes ...
... cylinder be cut by a plane parallel to its base , the section will be a circle , equal to the base . Let AF be a cylinder , and GHI any sec- tion parallel to the base ABC ; then will Gur be a circle , equal to ABC . For , let the planes ...
Página 347
... cylinder DF , the prisms and cylinder themselves , which are composed of an equal number of all those equal sections , must also be equal . Q. E. D. Corol . Every prism , or cylinder , is equal to a rectangular parallelopipedon , of an ...
... cylinder DF , the prisms and cylinder themselves , which are composed of an equal number of all those equal sections , must also be equal . Q. E. D. Corol . Every prism , or cylinder , is equal to a rectangular parallelopipedon , of an ...
Página 348
... cylinders of equal altitudes , are to each other as their bases ; every prism and cylinder being equal to a rectangular parallelopipedon of an equal base and altitude . THEOREM CX . RECTANGULAR parallelopipedons , of equal bases , are ...
... cylinders of equal altitudes , are to each other as their bases ; every prism and cylinder being equal to a rectangular parallelopipedon of an equal base and altitude . THEOREM CX . RECTANGULAR parallelopipedons , of equal bases , are ...
Página 349
... cylinders are to each other , as the cubes of their altitudes , or of any other like linear dimensions . Let ABCD , EFGH , be two similar prisms ; then will the prism co be to the prism GH , as AB3 to EF3 or AD3 to EH3 . D A B H G F For ...
... cylinders are to each other , as the cubes of their altitudes , or of any other like linear dimensions . Let ABCD , EFGH , be two similar prisms ; then will the prism co be to the prism GH , as AB3 to EF3 or AD3 to EH3 . D A B H G F For ...
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A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton Sin vista previa disponible - 2015 |
Términos y frases comunes
AB² ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference circumscribed common cone consequently Cosine Cotang cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide 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 ordinate 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 square root subtract surd surface Tang tangent theor theref triangle ABC VULGAR FRACTIONS whole yards
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.