# Elements of Geometry

Hilliard and Metcalf, 1825 - Geometry - 224 pages
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### Contents

 Section 1 1 Section 2 4 Section 3 9 Section 4 20 Section 5 35 Section 6 39 Section 7 42 Section 8 49
 Section 23 163 Section 24 163 Section 25 171 Section 26 186 Section 27 194 Section 28 197 Section 29 199 Section 30 213

 Section 9 55 Section 10 66 Section 11 70 Section 12 76 Section 13 86 Section 14 87 Section 15 95 Section 16 105 Section 17 117 Section 18 164 Section 19 166 Section 20 167 Section 21 162 Section 22 163
 Section 31 217 Section 32 221 Section 33 Section 34 Section 35 Section 36 Section 37 Section 38 Section 39 Section 40 Section 41 Section 42 Section 43

### Popular passages

Page 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...
Page 9 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 9 - Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts.
Page ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, 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 times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Page 61 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 166 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Page 153 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Page 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Page 164 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.