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 2
... right angles , that is a Theorem , the truth of which is demonstrated by Geometry . -A set or collection of such ... line perpendicular to another . - A Limited Pro- blem is that which has but one answer or solution . An Un- limited ...
... right angles , that is a Theorem , the truth of which is demonstrated by Geometry . -A set or collection of such ... line perpendicular to another . - A Limited Pro- blem is that which has but one answer or solution . An Un- limited ...
Page 9
... line under the lowest number , to separate the given numbers from their sum , when it is found . -Then add up the ... right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line ...
... line under the lowest number , to separate the given numbers from their sum , when it is found . -Then add up the ... right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line ...
Page 11
... line below them . - Begin at the right hand , and take each figure in the lower line , or number , from the figure above it , setting down the remainder below it . But if the figure in the lower line be greater than that above it ...
... line below them . - Begin at the right hand , and take each figure in the lower line , or number , from the figure above it , setting down the remainder below it . But if the figure in the lower line be greater than that above it ...
Page 14
... right - hand place , of the multiplicand , and draw a line below it . - Then , beginning at the right - hand , multiply every figure in this by the multiplier . - Count how many tens there are in the product of every single figure , and ...
... right - hand place , of the multiplicand , and draw a line below it . - Then , beginning at the right - hand , multiply every figure in this by the multiplier . - Count how many tens there are in the product of every single figure , and ...
Page 15
... line of products for each figure in the multi- plier , so as that the first ... right . Second Method .- * Cast all the 9's out of the sum of the figures in ... right . - Note , It is common to set the four remainders within the four ...
... line of products for each figure in the multi- plier , so as that the first ... right . Second Method .- * Cast all the 9's out of the sum of the figures in ... right . - Note , It is common to set the four remainders within the four ...
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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.