## Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult Classes |

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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ... Thomas Lund No preview available - 2015 |

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base bisect called centre chord circular circumference common compasses cone construction contained convenient curved cylinder describe determine diagonal diameter difference distance divided division draw drawn edge equal equilateral exactly expressed extremities feet figure fixed foot former four given circle given line given point given straight line greater half height Hence inches inscribed intersecting join length less Let ABCD magnitude marked means measure meet method observed obtained opposite parallel parallelogram pass perpendicular placed plane plot polygon portion position practice produced PROP proportional proposed radii radius ratio rectangle regular represent respectively right angles round ruler scale segment Shew shewn sides similar square subtends suppose surface taken touch traced triangle twice unit volume whole yards

### Popular passages

Page 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Page 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.

Page 16 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other.

Page 43 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.

Page 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.

Page 17 - 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 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...

Page 223 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.

Page 128 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.

Page 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.