Elements of Geometry: With Practical Applications, for the Use of Schools

Εξώφυλλο
Richardson and Lord, 1829 - 129 σελίδες
 

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Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

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 xiv - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
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.
Σελίδα 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...

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