## An Elementary Geometry and Trigonometry |

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### Common terms and phrases

A B C acute angle adjacent altitude apothem arc or angle bisect centre chord circumference comp cone construct the triangle convex surface Corollary cosec Cosine Sine Cotang decr diagonals diameter distance divided draw equiangular equilateral equivalent feet frustum Geom given angle given line given point given side half the arc hypothenuse included angle incr inscribed internal angles isosceles triangle Logarithm M.
M. Sine measured by half multiplied number of sides opposite side parallelogram parallelopiped perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle regular polygon respectively equal right angle right pyramid right triangle right-angled triangle Scholium secant segment side opposite sides A B similar triangles slant height sphere straight line Tang tangent THEOREM THEOREM VIII trapezoid triangle ABC TRIGONOMETRY vertex

### 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.