Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side viii
... perimeter . The first man who digested the Elements of Geome- try into a regular treatise , was Hippocrates , who lived soon after Pythagoras . This work has not come down to us ; but history informs us , respecting Hippocrates , that ...
... perimeter . The first man who digested the Elements of Geome- try into a regular treatise , was Hippocrates , who lived soon after Pythagoras . This work has not come down to us ; but history informs us , respecting Hippocrates , that ...
Side 16
... perimeters with unequal Area of a circle , sector 62 areas · 70 Approximate ratio of circumfer- Planes and their angles · 74 78 PAGE . Polyedron 78 | Solidity of polyedrons 82 Prism 78 Solidity of a prism 85 Pyramid 79 Solidity of a ...
... perimeters with unequal Area of a circle , sector 62 areas · 70 Approximate ratio of circumfer- Planes and their angles · 74 78 PAGE . Polyedron 78 | Solidity of polyedrons 82 Prism 78 Solidity of a prism 85 Pyramid 79 Solidity of a ...
Side 57
... perimeter A B C D E F ( fig . 64 ) , is to the perimeter G H I K L M as CN is to I 0 . DEM .-- Suppose the two polygons are hexagons . As they are similar ( 89 ) we have BC HI :: C D ; IK , For Then ( 66 ) 6 times B C : 6 times HI :: CD ...
... perimeter A B C D E F ( fig . 64 ) , is to the perimeter G H I K L M as CN is to I 0 . DEM .-- Suppose the two polygons are hexagons . As they are similar ( 89 ) we have BC HI :: C D ; IK , For Then ( 66 ) 6 times B C : 6 times HI :: CD ...
Side 61
... , or C Exhalf of ( A B + B C ) . Now the area Also the area 104. THEOREM . - The area of a regular polygon is equal to the product of its perimeter by half the radius F 64 F 69 of the inscribed circle . Let ELEMENTS OF GEOMETRY . 61.
... , or C Exhalf of ( A B + B C ) . Now the area Also the area 104. THEOREM . - The area of a regular polygon is equal to the product of its perimeter by half the radius F 64 F 69 of the inscribed circle . Let ELEMENTS OF GEOMETRY . 61.
Side 62
... perimeter of the polygon . Therefore , adding their measures ( 102 ) , we have for the area of the polygon its perimeter multiplied by half the radius of the inscribed circle . 105. THEOREM . - The area of a circle is equal to the ...
... perimeter of the polygon . Therefore , adding their measures ( 102 ) , we have for the area of the polygon its perimeter multiplied by half the radius of the inscribed circle . 105. THEOREM . - The area of a circle is equal to the ...
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Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Uten tilgangsbegrensning - 1829 |
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Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Ingen forhåndsvisning tilgjengelig - 2019 |
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.