## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian School, Cheam, Surrey |

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acute angles added adjacent ascertain base bisect Book bounded called centre chords circle circumference cloth common curved demonstration describe diagonal diameter double draw drawn edges Edition eight English equal equal angles equilateral exterior angle extremities faces figure four given GRAMMAR greater Greek Hence inscribed interior intersect isosceles join known Language Latin less LESSON likewise lines a b M.—What manner master meet object observe obtuse angle opposite angles P.-They parallel parallelogram passes perpendicular plane angles preceding produced PROFESSOR pupils quadrilateral figure rectangle rectangle contained remaining respecting right angles sides similar slates solid angles sphere square straight line subtending surface taken tangent third Translation triangle triangle abc truth twice the rectangle unequal whole writing

### Popular passages

Page 98 - 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 134 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...

Page 117 - 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 139 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.

Page 74 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.

Page 80 - ... 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. Let ABC, DEF be two triangles which have the two sides, AB, AC, equal to...

Page 159 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 74 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.