Elementary Course of Geometry ...Harper & brothers, 1847 - 103 sider |
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Resultat 1-5 av 48
Side 1
... meet at an infinite distance ; in other words , they never meet . This follows evidently from the definition . The case where one line is the prolongation of another , or others , which seems to be embraced in this definition , is to be ...
... meet at an infinite distance ; in other words , they never meet . This follows evidently from the definition . The case where one line is the prolongation of another , or others , which seems to be embraced in this definition , is to be ...
Side 2
... meet is called the vertex of the angle . 11. Angles are Right or Oblique . 12. A Right Angle is that which is made by one line perpendicular to another . Or , when the angles on either side of one line meeting another are equal , they ...
... meet is called the vertex of the angle . 11. Angles are Right or Oblique . 12. A Right Angle is that which is made by one line perpendicular to another . Or , when the angles on either side of one line meeting another are equal , they ...
Side 12
... meet in the same point , that is , the point C must fall on the point F. Thus the three sides of the triangle ABC will be exactly placed on the three sides of the triangle DEF ; consequently , the two triangles are identical ( ax . 10 ) ...
... meet in the same point , that is , the point C must fall on the point F. Thus the three sides of the triangle ABC will be exactly placed on the three sides of the triangle DEF ; consequently , the two triangles are identical ( ax . 10 ) ...
Side 16
... meets another , the angles which the first line makes on the same side of the second are together equal to two right angles . Let the line AB meet the line CD ; then will the two angles ABC , ABD , taken together , be equal to two right ...
... meets another , the angles which the first line makes on the same side of the second are together equal to two right angles . Let the line AB meet the line CD ; then will the two angles ABC , ABD , taken together , be equal to two right ...
Side 19
... Scholium 2. The distance of two parallel lines is the length of the line between them , drawn perpendicular to both , as FH or EG in the next diagram . THEOREM XI . When one straight line meets two others THEOREMS . 19.
... Scholium 2. The distance of two parallel lines is the length of the line between them , drawn perpendicular to both , as FH or EG in the next diagram . THEOREM XI . When one straight line meets two others THEOREMS . 19.
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ELEM COURSE OF GEOMETRY Charles W. (Charles William) 1. Hackley Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD altitude angles equal axis bisect center of similitude chord circumference cone consequently construct cylinder diagonal diameter dicular divided draw equal angles equal bases equal distances equiangular equilateral triangle figure find a point find the area frustum geometric locus given angle given circle given line given point given triangle gles Hence hypothenuse indeterminate problems inscribed intersection isosceles isosceles triangle Let ABC line drawn line joining locus which resolves measured meet parallel planes parallelogram pendicular pentagon perimeter perpen perpendicular plane angles plane XZ polygon polyhedral angle polyhedrons prism Prob Prop proportional Prove pyramid radical axis radii radius ratio rectangle regular polygon regular polyhedrons resolves this problem rhombus right line right-angled triangle Scholium segment semicircle side AC similar Solution sphere spherical polygon spherical triangle straight line surface symmetric tangent tetrahedrons triangle ABC trihedral angles vertex
Populære avsnitt
Side 33 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle.
Side 70 - The areas or spaces of circles are to each other as the squares of their diameters, or of their radii.
Side 50 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Side 50 - Four quantities are said to be proportional when the ratio of the first to the second is the same as the ratio of the third to the fourth.
Side 60 - Carol. 4. Parallelograms, or triangles, having an angle in each equal, are in proportion to each other as the rectangles of the sides which are about these equal angles. THEOREM LXXXII. IF a line be drawn in a triangle parallel to one of its sides, it will cut the other two sides proportionally.
Side 23 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 1 - A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line.
Side 51 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Side 5 - ... 07958 in using the circumferences j then taking one-third of the product, to multiply by the length, for the content. Ex. 1. To find the number of solid feet in a piece of timber, whose bases are squares, each side of the greater end being 15 inches, and each side of the less end 6 inches ; also, the length or perpendicular altitude 2-1 feet.
Side 2 - What is the upright surface of a triangular pyramid, the slant height being 20 feet, and each side of the base 3 feet ? • Ans.