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
... Sphere , is the right line about which the semicircle revolves ; and the centre is the same as that of the revolving semicircle . 110. The Diameter of a Sphere , is any right line passing through the centre , and terminated both ways by ...
... Sphere , is the right line about which the semicircle revolves ; and the centre is the same as that of the revolving semicircle . 110. The Diameter of a Sphere , is any right line passing through the centre , and terminated both ways by ...
Página 352
... sphere be cut by a plane , the section will be a circle . Let the sphere AEBF be cut by the plane ADB ; then will the section ADB be a circle . If the section pass through the centre of the sphere , then will the distance from the ...
... sphere be cut by a plane , the section will be a circle . Let the sphere AEBF be cut by the plane ADB ; then will the section ADB be a circle . If the section pass through the centre of the sphere , then will the distance from the ...
Página 353
... sphere ECGF , through the centre c , which will bisect the chord AB in the point & ( th . 41 ) . Also , join CA , CB ; and draw CD , GD , to any point D in the perimeter of the sec tion ADB . . Then , because CG is perpendicular to the ...
... sphere ECGF , through the centre c , which will bisect the chord AB in the point & ( th . 41 ) . Also , join CA , CB ; and draw CD , GD , to any point D in the perimeter of the sec tion ADB . . Then , because CG is perpendicular to the ...
Página 354
... sphere EFGH equal to two - thirds of the whole cylinder ABCD . Q. E. D. Corol . 1. A cone , hemisphere , and cylinder of the same base and altitude , are to each other as the numbers 1 , 2 , 3 . Corol . 2. All spheres are to each other ...
... sphere EFGH equal to two - thirds of the whole cylinder ABCD . Q. E. D. Corol . 1. A cone , hemisphere , and cylinder of the same base and altitude , are to each other as the numbers 1 , 2 , 3 . Corol . 2. All spheres are to each other ...
Página 425
... , m the appropriate multiplier , h the height of the frus- tum , then is the content · Jmh ( 3vd +8 ) ; which is a convenient prac tical expression . VOL . I. 55 PROBLEM VII . To find the Surface of a Sphere OF SOLIDS . 425.
... , m the appropriate multiplier , h the height of the frus- tum , then is the content · Jmh ( 3vd +8 ) ; which is a convenient prac tical expression . VOL . I. 55 PROBLEM VII . To find the Surface of a Sphere OF SOLIDS . 425.
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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.