## An Elementary Geometry and Trigonometry |

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### Common terms and phrases

adjacent altitude base become bisect Book called centre chord circle circumference column comp cone construct Converse convex surface Corollary corresponding Cosine Cotang decr DEFINITIONS demonstration describe diagonals diameter difference direction distance divided draw drawn equal equiangular equivalent feet figures formed four given angle given line given point greater half height hypothenuse included angle infinite inscribed isosceles joining known less Logarithm mean measured meet Method multiplied parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportion proved pyramid quantities radius ratio rectangle respectively right angle RULE secant segment sides similar Sine sphere square straight line supplement Tang tangent THEOREM third triangle triangle ABC vertex vertices volume

### Popular passages

Page 107 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.

Page 25 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 5 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.

Page 11 - 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 43 - The perimeters of regular polygons of the same number of sides are to each other as the radii of the circumscribed circles...

Page 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.

Page 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.

Page 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.

Page 14 - DEF, having two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, are themselves equal (Prop.

Page 70 - A right cylinder is a solid described by the revolution of a rectangle about one of its sides.