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Elements of Geometry: With Practical Applications, for the Use of Schools
Uten tilgangsbegrensning - 1829
adding altitude apply base called centre chord circ circle circumference coincide common cone Consequently considered construction contain convex surface cube cylinder definition demonstrated described determine diameter difference direction distance divided draw drawn entire equal equivalent evident express faces fall feet figure formed frustum geometry given greater half height Hence homologous inches infinite inscribed length less manner mean measure meet method middle multiplied namely number of sides object oblique parallel parallelogram parallelopiped pass perimeter perpendicular placed plane polygon position prism PROBLEM proportion proved pyramid radii radius ratio reasoning regular polygon remain respect right angles right triangle sector segment sides similar solidity sphere spherical square straight line suppose surface taken term THEOREM third tion triangle triangular true unit vertex vertices
Side 2 - 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 48 - 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 63 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Side 2 - ... and also to an Act, entitled, " An Act- supplementary to an Act, entitled, ' An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the limes therein mentioned ;' and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.
Side 14 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Side 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 41 - In any proportion, the product of the means is equal to the product of the extremes.
Side 14 - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Side 42 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Side 14 - Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another.