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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Αποτελέσματα 1 - 5 από τα 74.
Σελίδα 334
... theor . 90 , ) similar polygons inscribed in circles have their perimeters , in the same ratio as the diameters of those circles . Now , as this property belongs to all polygons , whatever the number of the sides may be ; conceive the ...
... theor . 90 , ) similar polygons inscribed in circles have their perimeters , in the same ratio as the diameters of those circles . Now , as this property belongs to all polygons , whatever the number of the sides may be ; conceive the ...
Σελίδα 372
... theor . 84 , Geom ) , ab : CD GF CI , that is bax : α — x . Hence , by multiplying extremes and means , ab bx = ax , and transposing bx , gives ab = ax - + bx ; then dividing by a + b , gives x = ab a + b GF or GH the side of the ...
... theor . 84 , Geom ) , ab : CD GF CI , that is bax : α — x . Hence , by multiplying extremes and means , ab bx = ax , and transposing bx , gives ab = ax - + bx ; then dividing by a + b , gives x = ab a + b GF or GH the side of the ...
Σελίδα 389
... theor , 35 , Geom . the rectangle of the sum and difference of the two sides , is equal to the rectangle of the sum and difference of the two segments . Therefore , by forming the sides of these rectangles into a proportion by theor ...
... theor , 35 , Geom . the rectangle of the sum and difference of the two sides , is equal to the rectangle of the sum and difference of the two segments . Therefore , by forming the sides of these rectangles into a proportion by theor ...
Σελίδα 402
... theor . 81 , cor . 2 . The same is otherwise proved thus : Let the foregoing rectangle be the figure proposed : and let the length and breadth be divided into several parts each equal to the linear measuring unit , being here 4 for the ...
... theor . 81 , cor . 2 . The same is otherwise proved thus : Let the foregoing rectangle be the figure proposed : and let the length and breadth be divided into several parts each equal to the linear measuring unit , being here 4 for the ...
Σελίδα 403
... theor . 25 , cor . 2 ) that any oblique parallelogram is equal to a rectangle , of equal length and perpendi cular breadth . Therefore the rule is general for all parallelograins whatever . The truth of this rule is evident , be use any ...
... theor . 25 , cor . 2 ) that any oblique parallelogram is equal to a rectangle , of equal length and perpendi cular breadth . Therefore the rule is general for all parallelograins whatever . The truth of this rule is evident , be use any ...
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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...