Plane and Solid GeometryGinn, 1913 - 470 sider |
Inni boken
Resultat 1-5 av 25
Side 53
... also r ? From these relations find the number of degrees in p + q + r . r α 31. Prove Prop . XIX by first drawing a parallel to AB through C , instead of drawing BY PROPOSITION XX . THEOREM 112. The sum of any two TRIANGLES 53.
... also r ? From these relations find the number of degrees in p + q + r . r α 31. Prove Prop . XIX by first drawing a parallel to AB through C , instead of drawing BY PROPOSITION XX . THEOREM 112. The sum of any two TRIANGLES 53.
Side 67
... relations exist between EF and AB ? In the △ DBC join F to G , the mid - point of BC . Then what relations exist between FG and DC ? Since A E D this relation exists , what relation exists between AB and FG ? But only cne line can be ...
... relations exist between EF and AB ? In the △ DBC join F to G , the mid - point of BC . Then what relations exist between FG and DC ? Since A E D this relation exists , what relation exists between AB and FG ? But only cne line can be ...
Side 68
... Relation of Two Polygons . Two polygons are mutually equiangular , if the angles of the one are equal to the angles of the other respectively , taken in the same order ; mutually equilateral , if the sides of the one are equal to the ...
... Relation of Two Polygons . Two polygons are mutually equiangular , if the angles of the one are equal to the angles of the other respectively , taken in the same order ; mutually equilateral , if the sides of the one are equal to the ...
Side 77
... relation of A to Z CDA ? Then what about the relation of the CDA and BDC ? Then what about the relation of the A and BDC ? Draw figures and show that the triangles are congruent : 1. If the given angles B and B ′ are both right or both ...
... relation of A to Z CDA ? Then what about the relation of the CDA and BDC ? Then what about the relation of the A and BDC ? Draw figures and show that the triangles are congruent : 1. If the given angles B and B ′ are both right or both ...
Side 80
... relation of AN and NB ? Why ? Then what may be said of △ ANM and BNM ? Why ? Then what may be said of AM and BM ? of Za and Zq ? Therefore the proposition is true if BM BC . But BM BC if ≤ 2 a = < r , or if 22a = a + Zq , or if Za ...
... relation of AN and NB ? Why ? Then what may be said of △ ANM and BNM ? Why ? Then what may be said of AM and BM ? of Za and Zq ? Therefore the proposition is true if BM BC . But BM BC if ≤ 2 a = < r , or if 22a = a + Zq , or if Za ...
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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.