A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well as Private Tuition, Τόμος 1Samuel Campbell, Evert Duyckinck, T. & J. Swords, Peter A. Mesier, R. M'Dermut, Thomas A. Ronalds, John Tiebout, and George Long, 1818 - 558 σελίδες |
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Σελίδα iv
... tangents , at the end of the se- cond volume ; by the addition of Cardan's rules for resolving cubic equations ; with tables and rules for annuities ; and many other improvements in different parts of the work . Though the several parts ...
... tangents , at the end of the se- cond volume ; by the addition of Cardan's rules for resolving cubic equations ; with tables and rules for annuities ; and many other improvements in different parts of the work . Though the several parts ...
Σελίδα viii
... tangents , radii of curvature , rectifications , quadratures , & c . the 11th and 12th chapters of the 3d vol . should be taught . The prob- lems in the 13th and 14th chapters must be blended with the practical exercises at the end of ...
... tangents , radii of curvature , rectifications , quadratures , & c . the 11th and 12th chapters of the 3d vol . should be taught . The prob- lems in the 13th and 14th chapters must be blended with the practical exercises at the end of ...
Σελίδα 156
... tangents , and secants , to every degree , and centesm , or 100th part of a degree , of the whole quadrant ; and annexed them to the natural sines , tangents , and secants , which he had before computed , to fifteen places of figures ...
... tangents , and secants , to every degree , and centesm , or 100th part of a degree , of the whole quadrant ; and annexed them to the natural sines , tangents , and secants , which he had before computed , to fifteen places of figures ...
Σελίδα 276
... Tangent to a circle , or other curve , when it touches it , without cutting , when both are pro- duced . 13. An Angle is the inclination or opening of two lines , having different directions , and meeting in a point . 14. Angles are ...
... Tangent to a circle , or other curve , when it touches it , without cutting , when both are pro- duced . 13. An Angle is the inclination or opening of two lines , having different directions , and meeting in a point . 14. Angles are ...
Σελίδα 308
... E is without the circle and the same for every other point in the line AB . Consequently the whole line is without the circle , and meets it in the point only . : THEORE THEOREM XLVII . WHEN a Line is a Tangent to 308 GEOMETRY .
... E is without the circle and the same for every other point in the line AB . Consequently the whole line is without the circle , and meets it in the point only . : THEORE THEOREM XLVII . WHEN a Line is a Tangent to 308 GEOMETRY .
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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 ciphers circle circumference common cone consequently cube root curve DE² decimal denominator denotes diameter difference distance divide dividend division divisor draw equal equation equiangular EXAMPLES feet figure fraction frustum geometrical geometrical progression given number gives greater half Hence improper fraction inches length logarithm manner measure multiply number of terms ordinates parabola parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce remainder right angles right line rule Scholium side AC sine square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
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 410 - 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 251 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 25 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Σελίδα 220 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Σελίδα 306 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 55 - 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 257 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Σελίδα 347 - The measure of any 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.
Σελίδα 221 - RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other...