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

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adjacent angles angle ABC angle ACB angle opposite angle x basis and height bisected called centre chord circumference circumscribed circle consequently construct the triangle Demon diagonal diameter draw the lines equal angles exterior angle found by multiplying fourth term geometrical figures geometrical proportion given angle given circle given straight line given triangle hypothenuse isosceles triangle line AB line AC line CD line MN Ludolph van Ceulen mean proportional number of sides parallel lines parallelogram perpendicular points of division Problem prove quadrilateral Query 11 radii radius ratio rectangle rectilinear figure regular polygon ABCDEF remaining sides Remark right angles right-angular triangle Sect semicircle side AB side AC similar triangles smaller Solution square feet square inches square seconds tangent third line three angles three sides trapezoid trian triangle ABC triangle are equal vertex zoid

### Popular passages

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...