Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
Inni boken
Resultat 1-5 av 53
Side 43
... base B C , then the two sides A B , A C are divided proportionally at the points D and E ; and we shall have the proportion AB AD :: AC : A E. DEM . 1. - First we say that if A P ( fig . 36 ) be divided 36 into equal parts , and if ...
... base B C , then the two sides A B , A C are divided proportionally at the points D and E ; and we shall have the proportion AB AD :: AC : A E. DEM . 1. - First we say that if A P ( fig . 36 ) be divided 36 into equal parts , and if ...
Side 44
... base PR , then the other side A R will be to its part A I in the same ratio ; and we shall have the proportion F 37 AP AE : AR : A I. : and If A P is divided , for example , into 7 equal parts , A E contains 4 of them , then we shall ...
... base PR , then the other side A R will be to its part A I in the same ratio ; and we shall have the proportion F 37 AP AE : AR : A I. : and If A P is divided , for example , into 7 equal parts , A E contains 4 of them , then we shall ...
Side 45
... , some other line drawn Suppose that line to be D F. be . If DE is not through D must Then if D F is parallel to the base B C , we have by 5 * ELEMENTS OF GEOMETRY . 45 part of the demonstration we shall have the pro- ...
... , some other line drawn Suppose that line to be D F. be . If DE is not through D must Then if D F is parallel to the base B C , we have by 5 * ELEMENTS OF GEOMETRY . 45 part of the demonstration we shall have the pro- ...
Side 46
... base E F ( 70 ) we have the proportion DE DF :: DG : D H. This geometrical operation corresponds to the Single Rule of Three in arithmetic . 1 73. PROBLEM . - To divide a given straight line into any number of equal parts . Suppose it ...
... base E F ( 70 ) we have the proportion DE DF :: DG : D H. This geometrical operation corresponds to the Single Rule of Three in arithmetic . 1 73. PROBLEM . - To divide a given straight line into any number of equal parts . Suppose it ...
Side 47
... base , we have ( 64 ) DK DH :: IK : GH . But calling L F the base , since H K is parallel to it , we have DK DH :: KF : HL , whence leaving out the common ratio or ( 65 ) IK : GH :: KF : HL IK : KF :: GH : HL But G H B and H L = C ...
... base , we have ( 64 ) DK DH :: IK : GH . But calling L F the base , since H K is parallel to it , we have DK DH :: KF : HL , whence leaving out the common ratio or ( 65 ) IK : GH :: KF : HL IK : KF :: GH : HL But G H B and H L = C ...
Andre utgaver - Vis alle
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Uten tilgangsbegrensning - 1829 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Ingen forhåndsvisning tilgjengelig - 2023 |
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.