Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página iv
... figures defined were to be immedi- ately considered , believing that in this way they would be more readily understood and remembered . When- ever I have ventured to depart from the definitions in common use , as in the case of a ...
... figures defined were to be immedi- ately considered , believing that in this way they would be more readily understood and remembered . When- ever I have ventured to depart from the definitions in common use , as in the case of a ...
Página v
... figures depending upon it , had been demonstrated by the usual method of a reductio ad absurdum , at least thirty pages more would have been necessary to obtain the same results as are here obtained . This appeared to be a sufficient ...
... figures depending upon it , had been demonstrated by the usual method of a reductio ad absurdum , at least thirty pages more would have been necessary to obtain the same results as are here obtained . This appeared to be a sufficient ...
Página vi
... figures on the plates , some of the lines are made larger than the rest , for the purpose of rendering the order of construction more obvious . On the whole , it is believed that these changes will be found to be improvements . They ...
... figures on the plates , some of the lines are made larger than the rest , for the purpose of rendering the order of construction more obvious . On the whole , it is believed that these changes will be found to be improvements . They ...
Página viii
... figures of the same 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 ...
... figures of the same 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 ...
Página xii
... figures . It was Another contemporary of Cavalleri , Roberval of France , invented a method of reasoning which closely resembled the method of indivisibles ; but differed in this , that surfaces were considered as made up of an ...
... figures . It was Another contemporary of Cavalleri , Roberval of France , invented a method of reasoning which closely resembled the method of indivisibles ; but differed in this , that surfaces were considered as made up of an ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2023 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2019 |
Términos y frases comunes
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
Pasajes populares
Página 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...
Página 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'.
Página 63 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Página 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.
Página 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...
Página xv - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 41 - In any proportion, the product of the means is equal to the product of the extremes.
Página 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.
Página 42 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Página 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.