## Elements of geometry: with practical applications, for the use of schools |

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A B fig adjacent angles axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide cone contain convex surface cube cylinder D E F demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line given square gles half the arc height Hence homologous sides hundredths inches infinite number infinitely small inscribed angles inscribed circle 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 regular polygon rence right angle right parallelogram right parallelopiped right triangle sector semicircumference similar triangles solid angles solidity sphere square feet straight line Suppose tangent tion trapezoid triangles are equal triangular prism vertex vertices

### Popular passages

Page 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'.

Page 25 - In any proportion, the product of the means is equal to the product of the extremes.

Page 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.

Page 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.

Page 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.