Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side vi
... Prism Pyramid Cylinder Cone Sphere Surface of polyedrons · 57 Solidity of polyedrons 61 58 Solidity of a prism - 65 - 58 Solidity of a pyramid 59 Surface of the three round bodies 68 70 - 59 Solidity of the three round bodies 75 59 ...
... Prism Pyramid Cylinder Cone Sphere Surface of polyedrons · 57 Solidity of polyedrons 61 58 Solidity of a prism - 65 - 58 Solidity of a pyramid 59 Surface of the three round bodies 68 70 - 59 Solidity of the three round bodies 75 59 ...
Side xii
... prisms , all decreasing according to a certain law . In the same century Descartes conferred a lasting benefit upon geometry , by applying Algebra to it . By this inven- tion , the properties of geometrical figures are represented by ...
... prisms , all decreasing according to a certain law . In the same century Descartes conferred a lasting benefit upon geometry , by applying Algebra to it . By this inven- tion , the properties of geometrical figures are represented by ...
Side xvi
... prism is a circle read A B to C D vertices as centres A E C BED intersection . G = B perimeter centre N prism is a cube * SECTION FIRST -LINES Page.
... prism is a circle read A B to C D vertices as centres A E C BED intersection . G = B perimeter centre N prism is a cube * SECTION FIRST -LINES Page.
Side 58
... prism . The two equal and parallel po- lygons are called the bases of the prism , and the sum of the parallelograms A F G B , BGH C , & c . are called the convex surface of the prism . If the faces are perpendicular to the bases the prism ...
... prism . The two equal and parallel po- lygons are called the bases of the prism , and the sum of the parallelograms A F G B , BGH C , & c . are called the convex surface of the prism . If the faces are perpendicular to the bases the prism ...
Side 60
... prism . To find the surface of a prism , take double the area of the base , and add it to the sum of the areas of the parallelogram which form the convex sur- face . This is evident from the definition ( 133 ) . —If the prism be a right ...
... prism . To find the surface of a prism , take double the area of the base , and add it to the sum of the areas of the parallelogram which form the convex sur- face . This is evident from the definition ( 133 ) . —If the prism be a right ...
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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...