## Plane Geometry: With Problems and Applications |

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Plane Geometry: With Problems and Applications Nels Johann Lennes,Herbert Ellsworth Slaught No preview available - 2016 |

Plane Geometry: With Problems and Applications Nels Johann Lennes,Herbert Ellsworth Slaught No preview available - 2016 |

### Common terms and phrases

ABC and A'B'C ABCD acute angle adjacent adjacent angles altitude angle formed angles are equal apothem Axiom base bisects called central angle chord coincide Construct a triangle COROLLARY corresponding sides diagonals diameter distance divided drawn equal angles equal arcs equal circles equiangular equiangular polygon equilateral triangle Example EXERCISES exterior angle figure Find the locus given line given point given polygon given segment Hence hypotenuse inches inscribed angle intersecting isosceles triangle line parallel line-segment measure median middle points number of sides parallel lines parallelogram perimeter perpendicular bisector plane PROBLEM Proof proposition prove quadrilateral radii radius rectangle regular hexagon regular polygon right angles right triangle secant semicircle sequence SIGHT similar polygons straight angle straight line subtended Suggestion tangent THEOREM transversal trapezoid triangle ABC triangles are equal unequal vertex vertices

### Popular passages

Page 228 - The area of a rectangle is equal to the product of its base and altitude.

Page 205 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.

Page 207 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.

Page 85 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.

Page 35 - ADC, § 143 (two & are equal if two sides and the included Z of the one are equal, respectively, to two sides and the included Z of the other).

Page 220 - Euclidean geometry, it is logically necessary that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

Page 261 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.

Page 209 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.

Page 27 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.