Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 15
... coincide exactly when one is placed upon or applied to the other are equal . Since , however , geometrical magnitudes are ideal they are not actually taken up and placed the one upon the other , but this is conceived to be done . This ...
... coincide exactly when one is placed upon or applied to the other are equal . Since , however , geometrical magnitudes are ideal they are not actually taken up and placed the one upon the other , but this is conceived to be done . This ...
Σελίδα 16
... coincide , the lines are equal . If an angle is conceived to be placed upon another angle so that their vertices coincide and their sides take the same direction , the angles are equal . If any figure is conceived to be placed upon any ...
... coincide , the lines are equal . If an angle is conceived to be placed upon another angle so that their vertices coincide and their sides take the same direction , the angles are equal . If any figure is conceived to be placed upon any ...
Σελίδα 19
... coincide in two points , they will coin hout their whole extent , and form one and the same stra Between the same two points but one straight line can POSTULATES 1. A straight line may be produced indefinitely . A straight line may be ...
... coincide in two points , they will coin hout their whole extent , and form one and the same stra Between the same two points but one straight line can POSTULATES 1. A straight line may be produced indefinitely . A straight line may be ...
Σελίδα 22
... coincides with Z ABC . ABC and DEF are equal . Therefore , all right angles are equal . 53. Cor . I. All straight angles are equal . Q.E.D. 54. Cor . II . The complements of equal angles are equal , also the supplements of equal angles ...
... coincides with Z ABC . ABC and DEF are equal . Therefore , all right angles are equal . 53. Cor . I. All straight angles are equal . Q.E.D. 54. Cor . II . The complements of equal angles are equal , also the supplements of equal angles ...
Σελίδα 26
... coincide ; .. Ax . 11 , DP and DF will coincide , and , § 36 , < t = Lv . Revolve PCD back to its original position and prolong PD to G. Then , $ 56 , < t + Z v + 4w = 2 rt . 4 , and since that is , < t = 2v , 26 PLANE GEOMETRY . — BOOK I.
... coincide ; .. Ax . 11 , DP and DF will coincide , and , § 36 , < t = Lv . Revolve PCD back to its original position and prolong PD to G. Then , $ 56 , < t + Z v + 4w = 2 rt . 4 , and since that is , < t = 2v , 26 PLANE GEOMETRY . — BOOK I.
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
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.