A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 - Mathematics |
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Page v
... contain such additions to some of the subjects before treated of in those two volumes , with such other new branches ... contained all the proposi- tions of the course of Conic Sections , first printed for the use of the Academy in the ...
... contain such additions to some of the subjects before treated of in those two volumes , with such other new branches ... contained all the proposi- tions of the course of Conic Sections , first printed for the use of the Academy in the ...
Page viii
... contained in those portions of the work . In the composition of this 3d volume , as well as in that of the preceding parts of the Course , the great object kept con- stantly in view has been utility , especially to gentlemen in- tended ...
... contained in those portions of the work . In the composition of this 3d volume , as well as in that of the preceding parts of the Course , the great object kept con- stantly in view has been utility , especially to gentlemen in- tended ...
Page xi
... contained by the chords of the sides containing the spherical angle . See on this subject the note page 555 , vol . II . In the mensuration , page 411 , vol . 1 , a remark is added re- specting the magnitude of the earth . Dr. Hutton ...
... contained by the chords of the sides containing the spherical angle . See on this subject the note page 555 , vol . II . In the mensuration , page 411 , vol . 1 , a remark is added re- specting the magnitude of the earth . Dr. Hutton ...
Page 3
... contained in the proposition . 18. Method is the art of disposing a train of arguments in a proper order , to investigate either the truth or falsity of a proposition , or to demonstrate it to others when it has been found out . This is ...
... contained in the proposition . 18. Method is the art of disposing a train of arguments in a proper order , to investigate either the truth or falsity of a proposition , or to demonstrate it to others when it has been found out . This is ...
Page 9
... contained in that sum . - Set down exactly below what remains more than those tens , or if nothing remains , a cipher , and carry as many ones to the next row as there are tens . - Next add up the second row , together with the number ...
... contained in that sum . - Set down exactly below what remains more than those tens , or if nothing remains , a cipher , and carry as many ones to the next row as there are tens . - Next add up the second row , together with the number ...
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Common terms and phrases
ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth caČ CDČ centre chord circle circumference circumscribed common cone consequently cube root curve cylinder DEČ 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
Popular passages
Page 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.
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 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.
Page 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.
Page 293 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the...
Page 18 - The number to divide by, is the Divisor.- — And the number of times the dividend contains the divisor, is called the Quotient.
Page 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.
Page 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.
Page 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.
Page 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.