## Elements of Geometry: Plane and Solid |

### From inside the book

Results 1-5 of 19

Page 72

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**isosceles**nor**equilateral**, we must take care not to make our**triangle**have any of these characteristics , since otherwise we may obtain a misleading diagram suit- able only for some special , and possibly easy , case of the theorem ... Page 74

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**equilateral triangle**, an**isosceles triangle**with arms nearly double the base , a neutral triangle , a parallelogram , or other frequently required fig- ure . On each side of the triangle mark its mid point and the point where the ... Page 19

... isosceles △ ABC . Demonstrate as in Ex . 118 , or by means of Prop . XII . 120. Let the bisectors of B and C of

... isosceles △ ABC . Demonstrate as in Ex . 118 , or by means of Prop . XII . 120. Let the bisectors of B and C of

**isosceles triangle**ABC meet in O. Since B = LC , ZOBC = ≤ OCB ( Ax . 7 ) ; . ' . OC = OB . 121. Let BD , CE be the medians ... Page 20

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**isosceles triangle**ABC , so that BD = CE . Then AB AC , BD = CE , and △ B = LC ; ... △ ABD = AACE ; etc. B and A F E 126. Let D , E , F , be the points such that AD BE = CF . Then DB = EC = FA ( Ax . 3 ) ; also ZA = ZB = 2C ... Page 24

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**isosceles triangle**, the bisector of 20 will bisect chord AB ; etc. 174. For the arcs being equal ( Ex . 173 ) , their chords are equal . 175. For AO , OB = EO , OF respectively , and ZAOB = EOF ; .. Δ ΟΑΒ = ΔΟΕΕ ; ... △ OAB = 2OEF ...### Other editions - View all

### Common terms and phrases

AB² ABCD AC² AE² altitude angles formed arc BC axes of symmetry base BC² bisect bisector CD² chord circumf circumference coincide construct cutting denote describe an arc diagram for Ex diameter dihedral angles draw drawn edge EF² equal angles equilateral triangle exercises exterior angles given angle given circle given line given point Hence hypotenuse inscribed intercept intersection isosceles triangle Join AC Let AB Let ABC meet mid point par'm parallel to BC parallelogram parallelopiped pass a plane perpendicular plane passed point as required polygon prism produced Prop quadrilateral radii radius equal rectangle required locus respectively right angle right triangle segment sides straight angle straight line surface tangent theorem vertex vertical angle