Plane and Solid Geometry |
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Σελίδα 105
... or of equal circles are equal . C A Q.E.D. B 227. Cor . II . An angle inscribed in a semi- circle is a right angle . A B D 228. Cor . III . An angle inscribed in a segment greater than a semicircle is less than a right angle . 229.
... or of equal circles are equal . C A Q.E.D. B 227. Cor . II . An angle inscribed in a semi- circle is a right angle . A B D 228. Cor . III . An angle inscribed in a segment greater than a semicircle is less than a right angle . 229.
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent altitude base bisector bisects called chord circle circumference circumscribed coincide common cone Consequently Construct contained corresponding cylinder Data describe diagonals diameter difference dihedral angles direction distance divide Draw drawn edges equal equidistant equivalent exterior extremities faces figure Find formed four given given point greater half Hence homologous included inscribed intercepted interior angles intersecting isosceles triangle joining lateral less limit measured meet middle point opposite sides parallel parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism Problem produced Proof proportion Proposition prove pyramid quadrilateral radii radius ratio rectangle reference Represent respectively right angles right triangle secant segment sides similar Solution sphere square straight line subtended SUGGESTION surface tangent Theorem third transversal trapezoid unequal vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.