# First Lessons in Plane Geometry: Together with an Application of Them to the Solution of Problems : Simplified for Boys Not Versed in Algebra

Carter and Hendee, 1830 - Geometry, Plane - 255 pages

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Page ii - District Clerk's Office. BE IT REMEMBERED, that on the tenth day of August, AD 1829, in the fifty-fourth year of the Independence of the United States of America, JP Dabney, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit...
Page 197 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 94 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Page ii - An. act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of •uch 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...
Page ii - DISTRICT OF MASSACHUSETTS, TO WIT. DISTRIcT CLERK'S OFFIcE. BE it remembered, that on the...
Page 213 - HDG, the corresponding sides are proportional (page 70, 4thly) ; therefore we have the proportion ED : DG =AD : HD (II.) This last proportion has the first ratio common with the first proportion ; consequently the two remaining ratios are in a geometrical proportion (Theory of Prop., Prin. 3d) ; that is, we have AD : HD = DG: BD; and as, in...
Page 175 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 178 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 177 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Page 129 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...