Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 102
... are tangents to a circle , and P is the A middle point of the arc ST . Prove that PS bisects the angle AST . [ §§ 275 , 281. ] P D MISCELLANEOUS EXERCISES PROBLEMS OF COMPUTATION 309 A chord is drawn 102 PLANE GEOMETRY - BOOK II.
... are tangents to a circle , and P is the A middle point of the arc ST . Prove that PS bisects the angle AST . [ §§ 275 , 281. ] P D MISCELLANEOUS EXERCISES PROBLEMS OF COMPUTATION 309 A chord is drawn 102 PLANE GEOMETRY - BOOK II.
Σελίδα 103
Isaac Newton Failor. MISCELLANEOUS EXERCISES PROBLEMS OF COMPUTATION 309 A chord is drawn perpendicular to a diameter ; one of the arcs thus intercepted is 28 ° ; how many degrees in each of the other arcs ? 310 Two chords in a circle ...
Isaac Newton Failor. MISCELLANEOUS EXERCISES PROBLEMS OF COMPUTATION 309 A chord is drawn perpendicular to a diameter ; one of the arcs thus intercepted is 28 ° ; how many degrees in each of the other arcs ? 310 Two chords in a circle ...
Σελίδα 160
... Compute the segments of the sides made by the bisectors of the angles . 638 The sides of a triangle are a , b , c . Compute the segments of the sides made by the bisectors of the angles . 639 Compute the segments of a line 16 in . long ...
... Compute the segments of the sides made by the bisectors of the angles . 638 The sides of a triangle are a , b , c . Compute the segments of the sides made by the bisectors of the angles . 639 Compute the segments of a line 16 in . long ...
Σελίδα 161
... compute the perimeter of the second . If the 642 The sides of a polygon are 6 , 8 , 10 , 12 , 14. Compute the perime- ter of a similar polygon whose side homologous to 6 is 9 . 643 Compute the sides of a rectangle if the perimeter is 80 ...
... compute the perimeter of the second . If the 642 The sides of a polygon are 6 , 8 , 10 , 12 , 14. Compute the perime- ter of a similar polygon whose side homologous to 6 is 9 . 643 Compute the sides of a rectangle if the perimeter is 80 ...
Σελίδα 167
... Compute the distance from the top of one to the top of the other . 655 Compute the altitude of an isosceles triangle in which the base is 16 and a leg 17 . 656 Compute the leg of an isosceles triangle in which the base is 24 and the ...
... Compute the distance from the top of one to the top of the other . 655 Compute the altitude of an isosceles triangle in which the base is 16 and a leg 17 . 656 Compute the leg of an isosceles triangle in which the base is 24 and the ...
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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 circle CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus Find the ratio frustum given circle given line given point homologous sides hypotenuse HYPOTHESIS inches inscribed intersecting isosceles trapezoid isosceles triangle lateral area legs line of centers mean proportional median mid-points number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segments similar triangles slant height SOLUTION sphere spherical polygon spherical triangle straight line surface tangent THEOREM trapezoid triangle ABC triedral vertex volume
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 242 - The areas of two triangles which have 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
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 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...