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A B C D A B fig A G C adjacent angles 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 frustum given line gles 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 perpendicular let fall polyedrons preceding proposition proved pyramid radii radius ratio regular polygon right angle right parallelogram right parallelopiped right triangle sector 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
Σελίδα 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...
Σελίδα 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'.
Σελίδα xiv - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 25 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 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.
Σελίδα 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Σελίδα 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.
Σελίδα 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.