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Elements of Geometry: With Practical Applications, for the Use of Schools
No preview available - 2019
Elements of Geometry: With Practical Applications, for the Use of Schools ...
No preview available - 2018
A B C D A B fig adjacent angles angles are equal axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide contain convex surface cube cylinder D E F definition demonstrated diameter divided draw entire surface equally distant equivalent found by multiplying frustum Geometry given line given square greater half the arc Hence homologous sides hypothenuse inches infinite number infinitely small inscribed angles inscribed circle inscribed sphere line drawn linear unit mean proportional number of sides parallel sides parallelopiped perim perpendicular polyedrons preceding proposition proved pyramid radii radius regular polygon right angles right parallelogram right triangle semicircumference similar triangles solid angles sphere square feet straight line suppose tangent Theorem Theorem.—The tion trapezoid triangles are equal triangular prism vertex vertices
Page 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...
Page 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'.
Page 63 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Page 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.
Page 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...
Page 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 41 - In any proportion, the product of the means is equal to the product of the extremes.
Page 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.
Page 42 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Page 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.