Elementary Course of Geometry ...Harper & brothers, 1847 - 103 σελίδες |
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Σελίδα iii
... drawn from the latest and best foreign sources , and from the results of a varied experience of near twenty years as an instructor , commencing at the United States Military Academy . The definitions of angles and parallel lines , upon ...
... drawn from the latest and best foreign sources , and from the results of a varied experience of near twenty years as an instructor , commencing at the United States Military Academy . The definitions of angles and parallel lines , upon ...
Σελίδα viii
... drawing of tangents · 83 84 · 88 66 66 similar figures 92 General note upon the method of solution of problems Miscellaneous exercises in plane geometry 93 100 Of triangles APPENDIX I. ISO PERIMETRY . Of polygons Of plane figures ...
... drawing of tangents · 83 84 · 88 66 66 similar figures 92 General note upon the method of solution of problems Miscellaneous exercises in plane geometry 93 100 Of triangles APPENDIX I. ISO PERIMETRY . Of polygons Of plane figures ...
Σελίδα 5
... drawn from the center to the circumference . 43. The Diameter of a circle is a line drawn through the center , and terminating both ways at the circumference . 44. An Arc of a circle is any part of the circumference . * OOO ; * It will ...
... drawn from the center to the circumference . 43. The Diameter of a circle is a line drawn through the center , and terminating both ways at the circumference . 44. An Arc of a circle is any part of the circumference . * OOO ; * It will ...
Σελίδα 10
... Draw a line through a given point parallel to a given line . 15. Draw through given points several parallels to a given line . * A straight line joining two points is the direction of the one from the other . Two points are said to ...
... Draw a line through a given point parallel to a given line . 15. Draw through given points several parallels to a given line . * A straight line joining two points is the direction of the one from the other . Two points are said to ...
Σελίδα 11
Charles William Hackley. 16. Draw through a given point , without a given line , a line form- ing with it a given angle . 17. To make an angle with two given lines for sides . 18. In how many points may 20 lines cut each other , no two ...
Charles William Hackley. 16. Draw through a given point , without a given line , a line form- ing with it a given angle . 17. To make an angle with two given lines for sides . 18. In how many points may 20 lines cut each other , no two ...
Άλλες εκδόσεις - Προβολή όλων
ELEM COURSE OF GEOMETRY Charles W. (Charles William) 1. Hackley Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 70 - The areas or spaces of circles are to each other as the squares of their diameters, or of their radii.
Σελίδα 50 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.