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 9
... draw a line under the lowest number , to separate the given numbers from their sum , when it is found . -Then add up the figures in the column or row of units , and find how many tens are contained in that sum . - Set down exactly below ...
... draw a line under the lowest number , to separate the given numbers from their sum , when it is found . -Then add up the figures in the column or row of units , and find how many tens are contained in that sum . - Set down exactly below ...
Page 284
... draw the line cD . A D B AC is equal Then , in the triangle ACD , because the side to AD ( by hyp . ) , the angle ... drawn per- pendicular to CD . Then , since the two angles EBC , EBD , are right angles ( def . 15 ) , and the angle EBD ...
... draw the line cD . A D B AC is equal Then , in the triangle ACD , because the side to AD ( by hyp . ) , the angle ... drawn per- pendicular to CD . Then , since the two angles EBC , EBD , are right angles ( def . 15 ) , and the angle EBD ...
Page 291
... drawn , dividing the quadrangle into two triangles , ABC , ADC . Then , because the sum of the three angles of each ... draw lines , PA , PB , rc , & c . to all the angles , dividing the polygon into as many tri- angles as it has sides ...
... drawn , dividing the quadrangle into two triangles , ABC , ADC . Then , because the sum of the three angles of each ... draw lines , PA , PB , rc , & c . to all the angles , dividing the polygon into as many tri- angles as it has sides ...
Page 299
... draw кI , making BI the square of the other line BC . Now it is visible that the square AD is less than the two But GF is squares AF , BI , by the two rectangles EF , DI . equal to the one line AC , and GE or FH is equal to the other ...
... draw кI , making BI the square of the other line BC . Now it is visible that the square AD is less than the two But GF is squares AF , BI , by the two rectangles EF , DI . equal to the one line AC , and GE or FH is equal to the other ...
Page 304
... drawn from the centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . A E Draw the two radii CA , CB . Then the two triangles ACD , BCD , having ca equal to CB ( def . 44 ) , and CD ...
... drawn from the centre c to the chord . Then , if the chord be bisected in the point D , CD will be perpendicular to AB . A E Draw the two radii CA , CB . Then the two triangles ACD , BCD , having ca equal to CB ( def . 44 ) , and CD ...
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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
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
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.