Plane and Solid GeometryGinn, 1899 - 473 sider |
Inni boken
Resultat 1-5 av 49
Side 14
... difference between the angles ABC and DEF . If an angle is increased by its own magnitude two or more times in succession , the angle is multiplied by a number . Thus , if the angles ABM , MBC , CBP , PBD ( Fig . 21 ) are all equal ...
... difference between the angles ABC and DEF . If an angle is increased by its own magnitude two or more times in succession , the angle is multiplied by a number . Thus , if the angles ABM , MBC , CBP , PBD ( Fig . 21 ) are all equal ...
Side 33
... difference is less than the third side . B In the triangle ABC , let AC be the longest side . Το prove that AB + BC > AC , and AC – BC < AB . Proof . AB + BC > AC , ( a straight line is the shortest line from one point to another ) ...
... difference is less than the third side . B In the triangle ABC , let AC be the longest side . Το prove that AB + BC > AC , and AC – BC < AB . Proof . AB + BC > AC , ( a straight line is the shortest line from one point to another ) ...
Side 70
... legs of an isosceles triangle are equal . △ BED = △ CFD ( § 141 ) . △ BED = △ CFD ( § 151 ) . Ex . 58. State and prove the converse . E B D Ex . 59. The difference of the distances from any 70 BOOK I. PLANE GEOMETRY .
... legs of an isosceles triangle are equal . △ BED = △ CFD ( § 141 ) . △ BED = △ CFD ( § 151 ) . Ex . 58. State and prove the converse . E B D Ex . 59. The difference of the distances from any 70 BOOK I. PLANE GEOMETRY .
Side 71
George Albert Wentworth. Ex . 59. The difference of the distances from any point in the base produced of an isosceles triangle to the equal sides of the triangle is constant . = Rt . A DGC rt . △ DFC . ( Why ? ) .. DF DG . B .. DE - DF ...
George Albert Wentworth. Ex . 59. The difference of the distances from any point in the base produced of an isosceles triangle to the equal sides of the triangle is constant . = Rt . A DGC rt . △ DFC . ( Why ? ) .. DF DG . B .. DE - DF ...
Side 72
... difference of the base angles . Let B be greater than A. ZDCE 90 ° - ZA - LACD . = ZACD 90 ° – † ZA - .. LDCE 90 ° - ZA - - B. - DE B ( 90 ° — — } < B ) = } < B − † Z A. Ex . 68. If the diagonals of a quadrilateral bisect each other ...
... difference of the base angles . Let B be greater than A. ZDCE 90 ° - ZA - LACD . = ZACD 90 ° – † ZA - .. LDCE 90 ° - ZA - - B. - DE B ( 90 ° — — } < B ) = } < B − † Z A. Ex . 68. If the diagonals of a quadrilateral bisect each other ...
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Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angles are equal apothem axis bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw equiangular equidistant equilateral triangle equivalent exterior angle feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges limit middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangle is equal trihedral vertex vertices
Populære avsnitt
Side 274 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Side 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 66 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 41 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Side 169 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Side 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 71 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.
Side 156 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Side 71 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.
Side 383 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.