Plane GeometryAllyn and Bacon, 1925 - 319 pagina's |
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Veelvoorkomende woorden en zinsdelen
AABC ABCD acute angle adjacent angles altitude angle formed angles are equal angles equal central angle circle whose radius circumscribed congruent triangles Construct a circle Corollary corresponding sides diagonals diameter divided drawn equal angles equal arcs equilateral triangle Exercises exterior angle feet figure Find the area Find the length Find the number geometry given circle given line given point given triangle hypotenuse inches inscribed inscribed angle intercepted arc intersect isosceles trapezoid isosceles triangle line segment locus measured median meet Method of Proof methods known midpoint number of degrees opposite sides parallel lines parallelogram perimeter Plan of Attack Proposition prove quadrilateral ratio rectangle regular polygon rhombus right angles right triangle secant similar triangles statement straight line tangent Theorem third side transversal trapezoid triangle equals unequal vertex angle vertices ᎠᏴ
Populaire passages
Pagina 210 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Pagina 64 - 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.
Pagina 278 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Pagina 228 - If two polygons are similar, they can be divided into the same number of triangles, similar each to each, and similarly placed. 294. Theorem IX. If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.
Pagina 91 - 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. 132. If two triangles have two sides of...
Pagina 82 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.
Pagina 219 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Pagina 232 - 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.
Pagina 288 - 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.
Pagina 85 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.