Plane and Solid GeometryGinn, 1904 - 473 sider |
Inni boken
Resultat 1-5 av 73
Side 1
... . From top to bottom , A to D. These are called the dimensions of the block , and are named in the order given , length , breadth ( or width ) , and thickness ( height or depth ) . 5. A solid , in common language , is a. 1.
... . From top to bottom , A to D. These are called the dimensions of the block , and are named in the order given , length , breadth ( or width ) , and thickness ( height or depth ) . 5. A solid , in common language , is a. 1.
Side 2
George Albert Wentworth. 5. A solid , in common language , is a limited portion of space filled with matter ; but in Geometry we have nothing to do with the matter of which a body is composed ; we study simply its shape and size ; that ...
George Albert Wentworth. 5. A solid , in common language , is a limited portion of space filled with matter ; but in Geometry we have nothing to do with the matter of which a body is composed ; we study simply its shape and size ; that ...
Side 8
... common coincide and form but one line . 48. COR . 2. Two straight lines can intersect in only one point . For if they had two points common , they would coincide and not intersect . Hence , two intersecting lines determine a point . 49 ...
... common coincide and form but one line . 48. COR . 2. Two straight lines can intersect in only one point . For if they had two points common , they would coincide and not intersect . Hence , two intersecting lines determine a point . 49 ...
Side 30
... common ; as , angles A and B ( Fig . 2 ) . B D FIG . 1 . B FIG . 2 . 119. An exterior angle of a triangle is an angle included by one side and another side produced ; as , ACD ( Fig . 2 ) . The interior angle ACB is adjacent to the ...
... common ; as , angles A and B ( Fig . 2 ) . B D FIG . 1 . B FIG . 2 . 119. An exterior angle of a triangle is an angle included by one side and another side produced ; as , ACD ( Fig . 2 ) . The interior angle ACB is adjacent to the ...
Side 45
... common , ( two right are equal if their legs are equal , each to each ) . .. OA = ов . § 128 2. Since C is not in the L , CA or CB will cut the 1 . Let CA cut the 1 at D , and draw DB . Then , by the first part of the proof DA = DB ...
... common , ( two right are equal if their legs are equal , each to each ) . .. OA = ов . § 128 2. Since C is not in the L , CA or CB will cut the 1 . Let CA cut the 1 at D , and draw DB . Then , by the first part of the proof DA = DB ...
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Vanlige uttrykk og setninger
ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices
Populære avsnitt
Side 44 - 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.
Side 276 - 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 plane.
Side 52 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 43 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Side 193 - 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. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and A ADE AD X AE Draw BE.
Side 362 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 171 - 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 73 - The sum of the perpendiculars dropped from any point within an equilateral triangle to the three sides is constant, and equal to the altitude.
Side 385 - 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.
Side 77 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.