## 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

ABCD acute adjacent altitude arcs base bisector bisects called chord circle circumscribed coincide common Compare connecting construct COROLLARY corresponding definite diagonal diameter difference direction distance divided Draw drawn equal equidistant equilateral equivalent Example EXERCISES exterior angle fall figure Find fixed formed geometry given greater half Hence hexagon hypotenuse inches included inscribed intercepted intersect isosceles joining length less limit line-segment locus means measure median meet method middle points number of sides opposite pairs parallel lines parallelogram passes perimeter perpendicular placed plane possible PROBLEM Proof proportional proposition prove radii radius ratio rectangle regular polygon respectively right angles right triangle secant segment sequence shown sides SIGHT similar square straight line Suggestion symmetric tangent THEOREM transversal trapezoid triangle triangle ABC unequal unit 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.