Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side xii
... faces were considered as made up of an indefinite number of narrow rectangles or oblongs , and solids of an indefinite number of thin prisms , all decreasing according to a certain law . In the same century Descartes conferred a lasting ...
... faces were considered as made up of an indefinite number of narrow rectangles or oblongs , and solids of an indefinite number of thin prisms , all decreasing according to a certain law . In the same century Descartes conferred a lasting ...
Side 40
... faces measured and compared ? In measuring and compar- ing lines , ( 7 ) we found it necessary to fix upon some quantity of the same kind as a standard of measure , and we called this a linear unit . In like manner if we would measure ...
... faces measured and compared ? In measuring and compar- ing lines , ( 7 ) we found it necessary to fix upon some quantity of the same kind as a standard of measure , and we called this a linear unit . In like manner if we would measure ...
Side 57
... face in any direction but that of its length or breadth Thus we have the origin of the three dimensions : for the mov ... faces , and their lines of intersection edges or sides . The least number of planes which can enclose a space or ...
... face in any direction but that of its length or breadth Thus we have the origin of the three dimensions : for the mov ... faces , and their lines of intersection edges or sides . The least number of planes which can enclose a space or ...
Side 58
... faces , a tetraedron . For the same reason a solid of six faces is called a hexaedron , one of eight , an octaedron , and so on . But other denominations , depending upon the form and relative positions of the faces , are more important ...
... faces , a tetraedron . For the same reason a solid of six faces is called a hexaedron , one of eight , an octaedron , and so on . But other denominations , depending upon the form and relative positions of the faces , are more important ...
Side 60
... face . This is evident from the definition ( 133 ) . —If the prism be a right prism , the convex surface is equal to the perimeter of the base ... faces , or six times the square of one of 60 ELEMENTS OF GEOMETRY . Surface of polyedrons.
... face . This is evident from the definition ( 133 ) . —If the prism be a right prism , the convex surface is equal to the perimeter of the base ... faces , or six times the square of one of 60 ELEMENTS OF GEOMETRY . Surface of polyedrons.
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Vanlige uttrykk og setninger
A B C D A B fig adjacent angles axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide convex surface cube cylinder D E F demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line gles height Hence homologous sides hundredths inches infinite number infinitely small inscribed angles inscribed circle inscribed sphere intersection line A B line drawn linear unit mean proportional method of Exhaustions number of sides parallel sides perimeter perpendicular polyedrons preceding proposition proved pyramid radii radius ratio regular polygon rence right angle right parallelogram right parallelopiped right triangle semicircumference similar triangles solid angles sphere square feet straight line Suppose tangent tion trapezoid triangles A B C triangles are equal triangular prism vertex vertices
Populære avsnitt
Side ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Side xiv - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 30 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side xiv - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 25 - In any proportion, the product of the means is equal to the product of the extremes.
Side 38 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Side xiv - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Side 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.
Side xiv - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles...