## Plane Geometry |

### From inside the book

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Page 24

... point to a line . 101. The sides of a triangle are often designated by the small letters corresponding to the ...

... point to a line . 101. The sides of a triangle are often designated by the small letters corresponding to the ...

**mid**-**points**of the opposite sides . 103. Superposition . When certain parts of two figures are 24 PLANE GEOMETRY. Page 33

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**mid**-**point**, F. Proceed at right angles to RT from T to the point P , where F , S , and P are in line ; measure PT ... points , R and S ( Fig . 1 ) . Ex . 78. The fact that a triangle is deter- mined if its base and its base ... Page 47

... points equidistant from the ends of a given line is the perpendicular bisector of that line . HINT . See §§ 143 and ...

... points equidistant from the ends of a given line is the perpendicular bisector of that line . HINT . See §§ 143 and ...

**mid**-**points**of the radii of the circle . Ex . 127. Given two circles having the same center . State , without ... Page 90

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**mid**-**points**of two opposite sides of a parallelogram are joined to a pair of opposite vertices , a parallelogram will be formed . Ex . 290. Construct a parallelogram , having given a base , an adjacent angle , and the altitude , making ... Page 95

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**mid**-**points**of the non - parallel sides of a trapezoid is ( a ) parallel to the bases ; and ( b ) equal to one half their sum . G E B 3 . F 21 4 A H - D = HINT . ( a ) Prove EF || BC and AD by the indirect method . ( b ) Draw GH CD ...### Other editions - View all

### Common terms and phrases

acute angle adjacent angles altitude angle formed arc degrees ARGUMENT REASONS assigned value base angles bisector bisects chord circumscribed common measure Construct a triangle diagonals diameter discussion are left divided Draw equal arcs equal circles equal respectively equidistant equilateral triangle equivalent exercise exterior angles figure Find the area Find the locus geometric given circle given line given point given triangle HINT hypotenuse inches included angle inscribed angle intercepted arc isosceles trapezoid isosceles triangle length limit line drawn line joining line of centers mean proportional measure-number median mid-points number of sides obtuse parallel parallelogram perimeter perpendicular prolonged PROPOSITION prove quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle secant segments similar triangles straight line student tangent THEOREM third side trapezoid triangle ABC unequal variable vertex angle vertices

### Popular passages

Page 281 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.

Page 268 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.

Page 76 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

Page 179 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.

Page 95 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 195 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.

Page 13 - If two angles of a triangle are equal, the sides opposite are equal.

Page 96 - A line joining the midpoints of the non.parallel sides of a trapezoid is parallel to the base, and equal to half the sum of the bases.

Page 64 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...

Page 94 - If three or more parallel lines intercept equal segments on one transversal, they intercept equal segments on any other transversal.