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
... cone itself , and all the rest of the theorems are deduced from the first , or from each other , in a very plain and simple manner . Besides renewing most of the rules , and introducing every where new examples , this edition is much ...
... cone itself , and all the rest of the theorems are deduced from the first , or from each other , in a very plain and simple manner . Besides renewing most of the rules , and introducing every where new examples , this edition is much ...
Σελίδα 337
... Cone , is a round pyramid , having a cir- cular base , and is conceived to be generated by the rotation of a right line about the circumference of a circle , one end of which is fixed at a point above the plane of that circle . VOL . I ...
... Cone , is a round pyramid , having a cir- cular base , and is conceived to be generated by the rotation of a right line about the circumference of a circle , one end of which is fixed at a point above the plane of that circle . VOL . I ...
Σελίδα 338
... cone , is the right line , joining the vertex , or fixed point , and the centre of the circle about which the figure is described . 107. Similar Cones and Cylinders , are such as have their altitudes and the diameters of their bases ...
... cone , is the right line , joining the vertex , or fixed point , and the centre of the circle about which the figure is described . 107. Similar Cones and Cylinders , are such as have their altitudes and the diameters of their bases ...
Σελίδα 348
... Cone , any Section Parallel to the Base is a Circle ; and this Section is to the Base , as the Squares of their Distances from the Vertex . LET ABCD be a cone , and GHI a section parallel to the base BCD ; then will GHI be a circle ...
... Cone , any Section Parallel to the Base is a Circle ; and this Section is to the Base , as the Squares of their Distances from the Vertex . LET ABCD be a cone , and GHI a section parallel to the base BCD ; then will GHI be a circle ...
Σελίδα 349
... Cones , of Equal Bases and Altitudes , are Equal to one another . LET ABC , DEF , be any pyramids and cone , of equal bases BC , EF , and equal al- titudes AG , DH ; then will the pyramids D D I K M LOOM L and cone ABC and DEF , be ...
... Cones , of Equal Bases and Altitudes , are Equal to one another . LET ABC , DEF , be any pyramids and cone , of equal bases BC , EF , and equal al- titudes AG , DH ; then will the pyramids D D I K M LOOM L and cone ABC and DEF , be ...
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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...