## Geometry for Grammar Schools |

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### Common terms and phrases

acute angle acute triangle adjacent angles Algebra angles equal apothem areas of similar arithmetic axis base and altitude called chord circumference common ratio cone cube curve cylinder diagonal divide diameter dihedral angle dodecagon Draw a line Draw a perpendicular ellipse equal angles equilateral triangle exterior angle Find area Find volume geometry grade height hexagon homologous sides hypotenuse inscribed intersection Introduction price isosceles triangle large triangle length LESSON lines drawn measure meters middle point Name objects oblique obtuse angle obtuse triangle opposite parallelogram pentagon perimeter plane Price by mail PROBLEM proportion pupil pyramid quadrilateral radii radius regular polygons regular polyhedron rhomboid rhombus right angle right triangle rods scalene triangle Schools secant secant line segment side 2 inches sides equal similar rectangles similar triangles small triangle solid angle sphere square inches straight line Supt three angles trapezium trapezoid vertical

### Popular passages

Page 23 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.

Page 22 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.

Page 29 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.

Page 39 - ... the sum of the angles of any triangle is equal to two right angles.

Page 23 - If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts.

Page 61 - RULE. — Extract the square root of the difference between the square of the hypotenuse and the square of the given side; and the result is the required side.