Plane and Solid Geometry: Suggestive Method
Atkinson, Mentzer & Grover, 1904 - Geometry - 97 pages
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A B and C D A O B adjacent angles angles are equal angles formed authority base bisector bisects chord circumference coincide common Compare conclusion Connect converse definition determined diagonals diameter direction distances divided Draw drawn dropped equal angles equal circles equal to angle equally distant erected extended exterior extremities fall figure Find four Geometry Give auth given line given point greater hypotenuse interior angles intersect isosceles triangle length less lies locus magnitude meet method middle point Model NOTE oblique lines opposite sides parallel lines parallelogram perpendicular Place plane polygon portion position possible PROPOSITION prove that angle pupil quadrilateral radii radius relation represent respect right angles right triangles sides solid statement straight line subtends Suggestion supplements surface tangent Theorem thought transversal unequal vertex vertical angles
Page 80 - A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre.
Page 67 - 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.
Page 26 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Page 54 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Page 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Page 62 - I cannot see why it is so very important to know that the lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal! The knowledge doesn't make life any sweeter or happier, does it?
Page 9 - Things that are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal.
Page 7 - An obtuse angle is an angle that is greater than a right angle. An acute angle is less than a right angle.
Page 76 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Page 69 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!