The Elements of Plane GeometryA. Lovell & Company, 1899 - 240 σελίδες |
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Σελίδα 66
... length . Moreover , no points satisfy this condition except those on the circumference . The locus of a point is the line or group of lines contain- ing all the points which possess a common property , and no others . Ex . 120. Find the ...
... length . Moreover , no points satisfy this condition except those on the circumference . The locus of a point is the line or group of lines contain- ing all the points which possess a common property , and no others . Ex . 120. Find the ...
Σελίδα 67
... Find the locus of P. 133. The perpendicular erected at the middle point of ... length , the line joining the extremity of the leg produced to the nearer ... equal , and the diagonal AC bisects the angle BAD ; prove that the sides CB and ...
... Find the locus of P. 133. The perpendicular erected at the middle point of ... length , the line joining the extremity of the leg produced to the nearer ... equal , and the diagonal AC bisects the angle BAD ; prove that the sides CB and ...
Σελίδα 73
... length . ] 222. In any triangle , the sum of the medians is less than the perimeter , and is greater than three ... Find the number of degrees in an angle which is equal to one half of its complement . 2. Find the number of degrees in an ...
... length . ] 222. In any triangle , the sum of the medians is less than the perimeter , and is greater than three ... Find the number of degrees in an angle which is equal to one half of its complement . 2. Find the number of degrees in an ...
Σελίδα 74
... find the number of degrees in the fifth angle . 4. Find the number of degrees in the angle formed by the bisectors ... length of the altitude upon the hypotenuse is 15 inches ; find the length of the hypotenuse . 17. In the isosceles ...
... find the number of degrees in the fifth angle . 4. Find the number of degrees in the angle formed by the bisectors ... length of the altitude upon the hypotenuse is 15 inches ; find the length of the hypotenuse . 17. In the isosceles ...
Σελίδα 75
... find the number of degrees in each angle . 21. The difference of two consecutive angles of a parallelogram is 30 ° ; find the number of degrees in each angle . 22. The lengths of the bases of a trapezoid are 8 inches and 14 inches ; find ...
... find the number of degrees in each angle . 21. The difference of two consecutive angles of a parallelogram is 30 ° ; find the number of degrees in each angle . 22. The lengths of the bases of a trapezoid are 8 inches and 14 inches ; find ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Plane Geometry (Classic Reprint) Charles A. Hobbs Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude equal angle equal angle formed apothem base and altitude bisector bisects central angle centre chord circumference circumscribed Conclusion construct a triangle Consult Prop decagon diagonals diameter draw drawn perpendicular equal circles equilateral triangle exterior angle F Hypothesis Find the area find the length Find the locus find the number given circle given line given point given square given straight line given triangle homologous homologous sides hypotenuse inches inscribed regular isosceles triangle legs line joining lines are cut mean proportional median middle point number of degrees number of sides opposite sides parallel lines parallelogram perimeter perpendicular drawn point of contact point of intersection Problem produced prove Q.E.D. Proposition quadrilateral radii radius ratio regular hexagon regular polygon rhombus right angle SCHOLIUM secant segments subtended tangent Theorem transversal trapezoid triangle is equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 46 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...
Σελίδα 45 - If two triangles have two sides of 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.
Σελίδα 54 - 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.
Σελίδα 180 - If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given two triangles ABC and A'B'C', having the angle A equal to the angle A'.
Σελίδα 6 - A Circle is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the Centre.
Σελίδα 200 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Σελίδα 34 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 179 - 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.
Σελίδα 79 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Σελίδα 21 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.