## Elements of geometry and mensuration |

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ABCDEF angular points base bisect centre chain chord circum circumference circumscribed circumscribing circle compasses cone construction cubic curved cylinder describe a circle diagonal diameter distance divided draw a straight drawn edge equal angles equal arcs equilateral triangle feet find the area foot frustum Geometry given angle given circle given line given point given ratio given straight line given triangle greater height Hence hexagon inscribed instrument intersecting isosceles triangle length Let ABCD magnitude measure meet number of equal number of sides opposite angle parallelogram parallelopiped perimeter perpendicular plane surface points of division prism produced Prop proportional Protractor radii radius rectangle rectangle contained regular polygon right angles ruler scale segment semi-circle shew shewn similar triangles square of AC subtends suppose tangent trapezium triangle ABC unit vernier vertex 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 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 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.

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 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.