## Lessons on form; or, Introduction to geometry as given in a Pestalozzian school, Cheam |

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### Common terms and phrases

a b and c d a b d a c b a c d acute angles adjacent angle angle a b c angle contained angles are equal base bisect called centre CHEAM SCHOOL chords circumference cloth cut the circle demonstration diagonal diameter Dionysius Lardner dodecahedron draw edges equal angles equilateral exterior angle Foolscap 8vo greater Greek Greek Language inscribed interior and opposite isosceles triangle Latin Lessons likewise lines a b M.—Compare M.—Demonstrate M.—Draw M.—Hence M.—What master obtuse angle octahedron opposite angles P.—Because P.—That P.—The angle P.—The side P.—They P.—When parallel lines parallelogram pentagon perpendicular plane angles point of contact pupils quadrilateral figure rectangle contained rhomb right angles semi-circumference slates solid angles sphere straight line joining tangent TAYLOR AND WALTON trapezium triangles abc triangles are equal truth twice the rectangle unequal William Greenfield

### 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 224 - Hebraicas, a defence of the Hebrew Scriptures, as a vehicle of Revealed Religion , occasioned by the recent Strictures and Innovations of Mr J. Bellamy; and in confutation of his attacks on all preceding translations, and on the established version in particular ; by Hyman Hurwitz.

Page 224 - A• Grammar of the Turkish Language ; with a Preliminary Discourse on the Language and Literature of the Turkish Nations ; a Copious Vocabulary ; Dialogues ; a Collection of Extracts in Prose and Verse ; and Lithographed Specimens of various Ancient and Modern Manuscripts ; by ARTHUR LUMLEY DAVIDS, Member of the Asiatic Society of Paris, &c., &c., &e.

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.