Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 28.
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 directions , respectively , the angles are equal . If any figure is conceived to be ...
... 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 directions , respectively , the angles are equal . If any figure is conceived to be ...
Σελίδα 19
... coincide in two points , they will coincide throughout their whole extent , and form one and the same straight line . 12. Between the same two points but one straight line can be drawn . POSTULATES 50. 1. A straight line may be produced ...
... coincide in two points , they will coincide throughout their whole extent , and form one and the same straight line . 12. Between the same two points but one straight line can be drawn . POSTULATES 50. 1. A straight line may be produced ...
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 , Lt = Lv . Revolve PCD back to its original position and prolong PD to G. Then , 56 , < t + Z v + < w = 2 rt . 4 , and since .that is , < t = 2v , 26 PLANE GEOMETRY . - BOOK I.
... coincide ; .. Ax . 11 , DP and DF will coincide , and , § 36 , Lt = Lv . Revolve PCD back to its original position and prolong PD to G. Then , 56 , < t + Z v + < w = 2 rt . 4 , and since .that is , < t = 2v , 26 PLANE GEOMETRY . - BOOK I.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABCD AC² adjacent angles angle formed angles are equal apothem arc intercepted base and altitude BC² bisector bisects CD² central angle chord circle whose center circumference circumscribing circle compare in length Construct a square Construct a triangle Data diagonals diameter divided equal circles equidistant equilateral triangle exterior extremities FGHJK given line given parallelogram given point given triangle Hence homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc meet middle point MILNE'S number of sides opposite sides parallel lines perimeter perpendicular produced proportion prove Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular inscribed regular polygon rhombus right angle right triangle secant similar polygons similar triangles square equivalent subtended tangent Theorem third side transversal trapezoid triangle ABC triangle equivalent triangle is equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 67 - 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 105 - 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 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 64 - 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 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Σελίδα 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Σελίδα 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.