A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 |
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Σελίδα iv
... difference : also in many of the mechanical and philosophical parts which follow in the second volume . In the conic sections too , it may be observed , that the first theorem of each section only is proved from the cone itself , and ...
... difference : also in many of the mechanical and philosophical parts which follow in the second volume . In the conic sections too , it may be observed , that the first theorem of each section only is proved from the cone itself , and ...
Σελίδα x
... difference will be found to consist of improvements . These are principally as follows : In the first place , it was thought adviseable to publish the work in two volumes instead of three ; the two volumes being still of a convenient ...
... difference will be found to consist of improvements . These are principally as follows : In the first place , it was thought adviseable to publish the work in two volumes instead of three ; the two volumes being still of a convenient ...
Σελίδα 11
... difference , or the remainder , by taking the less from the greater . The method of doing which is as follows : Place the less number under the greater , in the same man- ner as in addition , that is , units under units , tens under ...
... difference , or the remainder , by taking the less from the greater . The method of doing which is as follows : Place the less number under the greater , in the same man- ner as in addition , that is , units under units , tens under ...
Σελίδα 12
... this method of proof is evident ; for if the difference of two numbers be added to the less , it must manifestly make up a sum equal to the greater . OF OF MULTIPLICATION . MULTIPLICATION is a compendious method of Addition 12 ARITHMETIC .
... this method of proof is evident ; for if the difference of two numbers be added to the less , it must manifestly make up a sum equal to the greater . OF OF MULTIPLICATION . MULTIPLICATION is a compendious method of Addition 12 ARITHMETIC .
Σελίδα 36
... difference between any two numbers of different denominations . To perform which , observe the following Rule : * PLACE the less number below the greater , so that the parts of the same denomination may stand directly under each other ...
... difference between any two numbers of different denominations . To perform which , observe the following Rule : * PLACE the less number below the greater , so that the parts of the same denomination may stand directly under each other ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference circumscribed common cone consequently cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide divisor draw ellipse equation equiangular EXAM EXAMPLES feet figure fraction frustum Geom geometrical geometrical progression given number gives greater half height Hence improper fraction inches inscribed length Let ABC line drawn logarithm manner 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 Scholium segment side Ac sine sphere square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS yards
Δημοφιλή αποσπάσματα
Σελίδα 312 - 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.
Σελίδα 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.
Σελίδα 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Σελίδα 189 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 293 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the...
Σελίδα 18 - The number to divide by, is the Divisor.- — And the number of times the dividend contains the divisor, is called the Quotient.
Σελίδα 280 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.
Σελίδα 157 - Thus, the index or logarithm of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 64, or the third power of 4. And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root.
Σελίδα 81 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals, which points will show the number of figures the root will consist of.
Σελίδα 278 - A Pentagon is a polygon of five sides ; a Hexagon, of six sides ; a Heptagon, seven; an Octagon, eight; a Nonagon, nine ; a Decagon, ten ; an Undecagon, eleven ; and 4 Dodecagon, twelve sides.