Plane and Solid GeometryGinn, 1913 - 470 sider |
Inni boken
Resultat 1-5 av 41
Side 74
... equidistant from these intersecting lines AB , CD , it is not sufficient to prove that any point on the angle - bisector PQ is equidistant from AB and CD , because this may be only part of the locus . It is necessary to prove that no ...
... equidistant from these intersecting lines AB , CD , it is not sufficient to prove that any point on the angle - bisector PQ is equidistant from AB and CD , because this may be only part of the locus . It is necessary to prove that no ...
Side 75
... equidistant from the extrem- ities of a given line is the perpendicular bisector of that line . Y B Given YO , the perpendicular bisector of the line AB . To prove that YO is the locus of a point equidistant from A and B. Proof . Let P ...
... equidistant from the extrem- ities of a given line is the perpendicular bisector of that line . Y B Given YO , the perpendicular bisector of the line AB . To prove that YO is the locus of a point equidistant from A and B. Proof . Let P ...
Side 76
... equidistant from two given intersecting lines is a pair of lines bisecting the angle formed by those lines . B C Given XX ' and YY ' intersecting at O , AC the bisector of angle X'OY , and BD the bisector of angle YOX . To prove that ...
... equidistant from two given intersecting lines is a pair of lines bisecting the angle formed by those lines . B C Given XX ' and YY ' intersecting at O , AC the bisector of angle X'OY , and BD the bisector of angle YOX . To prove that ...
Side 78
... equidistant from the vertices . The bisectors of two sides , as QQ and RR ' , intersect as at O. Why ? Now show that O is equidistant from B and C , also from C and A , and hence from A and B. Therefore , where does O lie with respect ...
... equidistant from the vertices . The bisectors of two sides , as QQ and RR ' , intersect as at O. Why ? Now show that O is equidistant from B and C , also from C and A , and hence from A and B. Therefore , where does O lie with respect ...
Side 79
... equidistant from the extremities of the base . 16. If two isosceles triangles are on the same base , a line passing through their vertices is perpendicular to the base and bisects the base . 17. Two angles whose sides are perpendicular ...
... equidistant from the extremities of the base . 16. If two isosceles triangles are on the same base , a line passing through their vertices is perpendicular to the base and bisects the base . 17. Two angles whose sides are perpendicular ...
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Vanlige uttrykk og setninger
AABC ABCD altitude angles are equal apothem bisector bisects called chord circular cone circumference circumscribed coincide cone of revolution congruent conic surface construct COROLLARY cube diagonal diameter dihedral angles distance draw equidistant equilateral triangle equivalent EXERCISE face angles figure Find the area Find the locus Find the volume frustum given circle given line given point greater hypotenuse inscribed intersection isosceles triangle lateral area lateral edges lateral faces lune measured by arc mid-point number of sides oblique parallel lines parallelogram perimeter perpendicular plane geometry plane MN polyhedral angle polyhedron Proof proportional prove quadrilateral radii radius ratio rectangle rectangular parallelepiped regular polygon regular pyramid right angle right prism right section right triangle segments slant height sphere spherical polygon spherical triangle square straight angle straight line surface symmetric tangent tetrahedron THEOREM triangle ABC trihedral vertex vertices
Populære avsnitt
Side 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.
Side 360 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Side 190 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Side 152 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.
Side 54 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 31 - In an isosceles triangle the angles opposite the equal sides are equal.
Side 77 - 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 51 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 22 - The following are the most important axioms used in geometry: 1. If equals are added to equals the sums are equal. 2. If equals are subtracted from equals the remainders are equal. 3. If equals are multiplied by equals the products are equal. 4. If equals are divided by equals the quotients are equal.
Side 213 - The square constructed upon the sum of two lines is equivalent to the sum of the squares constructed upon these two lines, increased by twice the rectangle of these lines.