Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 40.
Σελίδα 31
... hypotenuse of a right triangle is the side opposite the right angle ; as , AC . A 144 The legs of a right triangle are the sides including the right angle ; as , AB and BC . B 145 The legs of an isosceles triangle are the two equal ...
... hypotenuse of a right triangle is the side opposite the right angle ; as , AC . A 144 The legs of a right triangle are the sides including the right angle ; as , AB and BC . B 145 The legs of an isosceles triangle are the two equal ...
Σελίδα 37
... hypotenuse and an acute angle of the one are equal respec- tively to the hypotenuse and an acute angle of the other . 169 COROLLARY 2. Two right triangles are equal if a leg and an acute angle of the one are equal respectively to a leg ...
... hypotenuse and an acute angle of the one are equal respec- tively to the hypotenuse and an acute angle of the other . 169 COROLLARY 2. Two right triangles are equal if a leg and an acute angle of the one are equal respectively to a leg ...
Σελίδα 43
... hypotenuse of a right triangle is obtuse . 64 If one angle of a triangle is equal to the sum of the other two , the triangle is a right triangle . 65 If a line drawn from the vertex of a triangle to the mid - point of the base is ...
... hypotenuse of a right triangle is obtuse . 64 If one angle of a triangle is equal to the sum of the other two , the triangle is a right triangle . 65 If a line drawn from the vertex of a triangle to the mid - point of the base is ...
Σελίδα 44
... hypotenuse and an acute are equal respectively to the hypotenuse and an acute of the one of the other . " § 168 Q. E. D. EXERCISE 77. The altitude of an isosceles triangle bisects the base , the vertical angle , and the triangle ...
... hypotenuse and an acute are equal respectively to the hypotenuse and an acute of the one of the other . " § 168 Q. E. D. EXERCISE 77. The altitude of an isosceles triangle bisects the base , the vertical angle , and the triangle ...
Σελίδα 46
... hypotenuse is greater than either leg . EXERCISES 82 Prove Prop . XXIII by the indirect method . 83 In an isosceles triangle a line drawn from the vertex to any point in the base is less than either leg . [ §§ 154 , 180. ] 84 In an ...
... hypotenuse is greater than either leg . EXERCISES 82 Prove Prop . XXIII by the indirect method . 83 In an isosceles triangle a line drawn from the vertex to any point in the base is less than either leg . [ §§ 154 , 180. ] 84 In an ...
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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...