Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side vii
... inscribed in a semicircle are right angles , and was so delighted with the discovery that he made a sacrifice to the Muses . Soon after Thales camé Anaxagoras . He was im- prisoned on account of his opinions respecting astrono my , and ...
... inscribed in a semicircle are right angles , and was so delighted with the discovery that he made a sacrifice to the Muses . Soon after Thales camé Anaxagoras . He was im- prisoned on account of his opinions respecting astrono my , and ...
Side ix
... inscribed on his tomb . But he made a great many other discoveries ; and among the rest , that of the approximate ratio of the circumference of the circle to its diameter . He demonstrated that calling the diameter 1 , the circumfe ...
... inscribed on his tomb . But he made a great many other discoveries ; and among the rest , that of the approximate ratio of the circumference of the circle to its diameter . He demonstrated that calling the diameter 1 , the circumfe ...
Side xii
... inscribed in the circle , and another is circumscribed about it . Here then are two determinate areas , one less and the other greater than that of the circle . Thus two limits are fixed , within which the area sought must be contained ...
... inscribed in the circle , and another is circumscribed about it . Here then are two determinate areas , one less and the other greater than that of the circle . Thus two limits are fixed , within which the area sought must be contained ...
Side xiii
... inscribed the edition which he published of Apollonius , with these words : " God himself geometrizes ; O Lord , how great a geometer thou art ! " It would seem that few discoveries now remained to be made in geometry . The labours of ...
... inscribed the edition which he published of Apollonius , with these words : " God himself geometrizes ; O Lord , how great a geometer thou art ! " It would seem that few discoveries now remained to be made in geometry . The labours of ...
Side 16
... Inscribed angles 34 - 20 Triangles 36 21 Proportions 41 23 Proportional lines 43 24 Similar triangles 47 Mean Proportional 50 25 Quadrilaterals 51 27 Polygons 52 30 Inscribed polygons 54 33 Circle a polygon 56 58 PAGE . Unit of surface ...
... Inscribed angles 34 - 20 Triangles 36 21 Proportions 41 23 Proportional lines 43 24 Similar triangles 47 Mean Proportional 50 25 Quadrilaterals 51 27 Polygons 52 30 Inscribed polygons 54 33 Circle a polygon 56 58 PAGE . Unit of surface ...
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Vanlige uttrykk og setninger
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 definition demonstrated diameter divided draw 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 line A B 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.-The solidity tion trapezoid triangle A B C triangles are equal triangular prism vertex vertices
Populære avsnitt
Side 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...
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 ii - ... 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 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 less than two right angles...
Side xv - 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 xiv - 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 xiv - 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.