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 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 ...
Página 9
... right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line below the uppermost num- ber , and suppose it cut off . Then add all the rest of the numbers together in the usual ...
... right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line below the uppermost num- ber , and suppose it cut off . Then add all the rest of the numbers together in the usual ...
Página 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 ...
Página 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 ...
Página 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 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.