Plane and Solid GeometryGinn, 1913 - 470 sider |
Inni boken
Resultat 1-5 av 43
Side 4
... ABCD move to the position WXYZ . Then ( 1 ) A generates the line AW ; ( 2 ) AB generates the surface AWXB ; ( 3 ) ABCD generates the solid AY . Y Of course a point will not generate a line by simply turning over , for this is not mo ...
... ABCD move to the position WXYZ . Then ( 1 ) A generates the line AW ; ( 2 ) AB generates the surface AWXB ; ( 3 ) ABCD generates the solid AY . Y Of course a point will not generate a line by simply turning over , for this is not mo ...
Side 5
... ABCD is a rectilinear figure . 19. Curve Line . A line no part of which is straight is called a curve line , or simply a curve . For example , EF is a curve line . D B A E 20. Curvilinear Figure . A plane figure formed by a curve line ...
... ABCD is a rectilinear figure . 19. Curve Line . A line no part of which is straight is called a curve line , or simply a curve . For example , EF is a curve line . D B A E 20. Curvilinear Figure . A plane figure formed by a curve line ...
Side 28
... ABCD the points P , Q , R , S bisect the consecutive sides . Prove that PQ QR = RS = SP . Ꭰ R C P B D 8. In the square ABCD the point P bisects 4 CD , and BM is made equal to AN , as shown in this figure . Prove that PM = PN . What two ...
... ABCD the points P , Q , R , S bisect the consecutive sides . Prove that PQ QR = RS = SP . Ꭰ R C P B D 8. In the square ABCD the point P bisects 4 CD , and BM is made equal to AN , as shown in this figure . Prove that PM = PN . What two ...
Side 30
... " instead of saying that A is given equal to X , and B is given equal to Y. The word is generally used , however , for an assumption made somewhere in the proof . EXERCISE 6 1. In the square ABCD the point P 30 BOOK I. PLANE GEOMETRY.
... " instead of saying that A is given equal to X , and B is given equal to Y. The word is generally used , however , for an assumption made somewhere in the proof . EXERCISE 6 1. In the square ABCD the point P 30 BOOK I. PLANE GEOMETRY.
Side 31
George Albert Wentworth, David Eugene Smith. EXERCISE 6 1. In the square ABCD the point P bisects CD , and PQ and PR are drawn so that ZQPC = 30 ° and RPQ = 120 ° . Prove that PQ PR . If ZQPC = 30 ° and ZRPQ = 120 ° , what does DPR equal ...
George Albert Wentworth, David Eugene Smith. EXERCISE 6 1. In the square ABCD the point P bisects CD , and PQ and PR are drawn so that ZQPC = 30 ° and RPQ = 120 ° . Prove that PQ PR . If ZQPC = 30 ° and ZRPQ = 120 ° , what does DPR equal ...
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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.