Elementary Course of Geometry ...Harper & brothers, 1847 - 103 sider |
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Resultat 1-5 av 48
Side 11
... pass through the same point ? THEOREM I. If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . A D In the ...
... pass through the same point ? THEOREM I. If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . A D In the ...
Side 13
... passes through the vertex , bisects the vertical angle , bisects the base , and is perpendicular to the base . Any two of these four conditions determine the position of the line , and the other two conditions follow . Whence the ...
... passes through the vertex , bisects the vertical angle , bisects the base , and is perpendicular to the base . Any two of these four conditions determine the position of the line , and the other two conditions follow . Whence the ...
Side 41
... pass through two given points , or that it shall pass through one point and be perpendicular to a given line , or pass through a point and make a given angle with a given line . The line CE in the last diagram fulfills four condi- tions ...
... pass through two given points , or that it shall pass through one point and be perpendicular to a given line , or pass through a point and make a given angle with a given line . The line CE in the last diagram fulfills four condi- tions ...
Side 42
... pass within the circle , which is contrary to definition . Corol . 1. Hence , conversely , a line drawn perpen- dicular to a tangent , at the point of contact , passes through the center of the circle ; for there can be but one ...
... pass within the circle , which is contrary to definition . Corol . 1. Hence , conversely , a line drawn perpen- dicular to a tangent , at the point of contact , passes through the center of the circle ; for there can be but one ...
Side 43
... pass through the center of each . THEOREM XXXVIII . The angle formed by a tangent and chord is meas- ured by half the arc of that chord . Let AB be a tangent to a circle , and A CD a chord drawn from the point of contact C ; then is the ...
... pass through the center of each . THEOREM XXXVIII . The angle formed by a tangent and chord is meas- ured by half the arc of that chord . Let AB be a tangent to a circle , and A CD a chord drawn from the point of contact C ; then is the ...
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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.