Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side iv
... definitions , I have , for the most part , deferred giving them , until the magnitudes or figures defined were to be immedi- ately considered , believing that in this way they would be more readily understood and remembered . When- ever ...
... definitions , I have , for the most part , deferred giving them , until the magnitudes or figures defined were to be immedi- ately considered , believing that in this way they would be more readily understood and remembered . When- ever ...
Side v
... definitions which are thought proper to be committed to memory by the pupil , are printed in Italics , and separated from the context by a dash at the beginning and end . It is proper here to observe that the circle is uniform- ly ...
... definitions which are thought proper to be committed to memory by the pupil , are printed in Italics , and separated from the context by a dash at the beginning and end . It is proper here to observe that the circle is uniform- ly ...
Side vi
... definitions at the commencement of the sections . The proportions are placed in lines by themselves , that their connection may more readily be perceived by the eye . Some demonstrations have been enlarged for the sake of greater ...
... definitions at the commencement of the sections . The proportions are placed in lines by themselves , that their connection may more readily be perceived by the eye . Some demonstrations have been enlarged for the sake of greater ...
Side 17
... DEFINITION . - A point is position merely with- out any magnitude . The study of geometry properly begins with the ... defined . But as you cannot represent to the eye that which has absolutely no extension , it is sufficiently near the ...
... DEFINITION . - A point is position merely with- out any magnitude . The study of geometry properly begins with the ... defined . But as you cannot represent to the eye that which has absolutely no extension , it is sufficiently near the ...
Side 21
... definition of a curve , and furnishes the best idea you can form of it , for you thus make a straight line the unit ... definitions of a straight line and a curve . F 4 THE CIRCLE AND ITS PARTS . DEF . - A circle is a figure bounded by a ...
... definition of a curve , and furnishes the best idea you can form of it , for you thus make a straight line the unit ... definitions of a straight line and a curve . F 4 THE CIRCLE AND ITS PARTS . DEF . - A circle is a figure bounded by a ...
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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.