Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 46.
Σελίδα 5
... four fundamental concepts in Geometry . GEOMETRIC CONCEPTS DEFINED 40 A point is position without magnitude . 41 A line is extension in one dimension , length . 42 A surface is extension in two dimensions , length and breadth . 43 A ...
... four fundamental concepts in Geometry . GEOMETRIC CONCEPTS DEFINED 40 A point is position without magnitude . 41 A line is extension in one dimension , length . 42 A surface is extension in two dimensions , length and breadth . 43 A ...
Σελίδα 8
... ; as , BOB . -B 73 COROLLARY . A round angle is equal to two straight angles or four right angles . 74 An acute angle is an angle less than a right angle ; as , the angle C. 75 An obtuse angle is an angle greater than a 8 GEOMETRY.
... ; as , BOB . -B 73 COROLLARY . A round angle is equal to two straight angles or four right angles . 74 An acute angle is an angle less than a right angle ; as , the angle C. 75 An obtuse angle is an angle greater than a 8 GEOMETRY.
Σελίδα 17
... four right angles . " A round angle is equal to four right angles . " 108 COROLLARY 5. If one of the angles formed by the intersection of two straight lines is a right angle , the others are right angles also . Ax . 13 ab dic $ 73 PROOF ...
... four right angles . " A round angle is equal to four right angles . " 108 COROLLARY 5. If one of the angles formed by the intersection of two straight lines is a right angle , the others are right angles also . Ax . 13 ab dic $ 73 PROOF ...
Σελίδα 19
... four times 1 , find each angle . 19 The straight line which bisects one of two verti- cal angles bisects the other also . [ Let HK bisect ZAOD ; then HK bisects COB . PROOF . and 24 = 21 by § 112. But 21 42 by hyp . = 24 by Ax . 11 ...
... four times 1 , find each angle . 19 The straight line which bisects one of two verti- cal angles bisects the other also . [ Let HK bisect ZAOD ; then HK bisects COB . PROOF . and 24 = 21 by § 112. But 21 42 by hyp . = 24 by Ax . 11 ...
Σελίδα 43
... four right angles . [ § 158. ] 75 The triangle formed by the base of an isosceles tri- angle and the bisectors of the base angles is isosceles . [ Ax . 9 , § 176. ] A 76 In the triangle ABC , ≤B = 2 Z C. BD bisects B and meets AC at D ...
... four right angles . [ § 158. ] 75 The triangle formed by the base of an isosceles tri- angle and the bisectors of the base angles is isosceles . [ Ax . 9 , § 176. ] A 76 In the triangle ABC , ≤B = 2 Z C. BD bisects B and meets AC at D ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed Compute CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus frustum given circle given line given point homologous hypotenuse HYPOTHESIS inches inscribed intersect isosceles trapezoid isosceles triangle lateral area legs lune median mid-points number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw PROOF Let Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segment semicircle spherical angle spherical degrees spherical excess spherical polygon spherical triangle straight line surface symmetrical tangent tetraedron THEOREM trapezoid triangle ABC triedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 168 - 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 diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 199 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...