## Plane Geometry |

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### Common terms and phrases

AABC ABCD acute angle adjacent angles altitude angles are equal apothem AXIOM base bisector bisects central angle chord circle whose radius circumference circumscribed Construct a square Construct a triangle corresponding sides denoted diagonals diagram diameter divide draw a line efficiency value equal circles equiangular polygon equidistant equilateral triangle EXERCISES figure Find the area Find the locus Find the ratio geometric given angle given circle given line given point given straight line Hence hypotenuse inches inscribed angle interior angles intersect isosceles trapezoid isosceles triangle Let the student measure method midpoint pair parallel lines parallelogram perimeter perpendicular Post produced Proof Prop PROPOSITION Prove quadrilateral radii rectangle regular hexagon regular polygon rhombus right angle right triangle secant segments similar triangles tangent THEOREM trapezoid triangle ABC vertex angle vertices

### Popular passages

Page 275 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...

Page 278 - Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other...

Page 178 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.

Page 68 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.

Page 182 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.

Page 79 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.

Page 255 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.

Page 71 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 132- If two triangles have two sides of...

Page 278 - ... equals the sum of the squares on the other two sides. The latter is called

Page 281 - ... is equal to the sum of the areas of two circles whose diameters are 1£ and 2 inches respectively.