An Elementary Course of Plane GeometryThomas Murby, 1868 - 261 σελίδες |
Αναζήτηση στο βιβλίο
Σελίδα 107
... two lines ; from one cut off a part , E A B , equal to a , and BC equal to b ; in the other A B Fig . 151 . a h take A D equal to c . Join the points B and D , and through c draw CE parallel to BD , then the line DE is the 4th proportional ...
... two lines ; from one cut off a part , E A B , equal to a , and BC equal to b ; in the other A B Fig . 151 . a h take A D equal to c . Join the points B and D , and through c draw CE parallel to BD , then the line DE is the 4th proportional ...
Σελίδα 118
... two angles , A and B , draw lines to the middle points of the opposite sides , determining by their intersection the point D. Through D draw a line parallel to one ... other into equal parts . 2nd . When parallel lines cut two lines not ...
... two angles , A and B , draw lines to the middle points of the opposite sides , determining by their intersection the point D. Through D draw a line parallel to one ... other into equal parts . 2nd . When parallel lines cut two lines not ...
Σελίδα 187
... one another the same ratio as the corresponding lines of the original ; and 2nd , that the angles of the one shall be equal to those of the other . The corresponding lines of two ... sides are proportional . A ' B ' B C ' Fig . 265 . The ...
... one another the same ratio as the corresponding lines of the original ; and 2nd , that the angles of the one shall be equal to those of the other . The corresponding lines of two ... sides are proportional . A ' B ' B C ' Fig . 265 . The ...
Σελίδα 188
... sides proportional , and are consequently similar . Two triangles which have their sides parallel or perpendicular , each to each , are similar . 267. It is sufficient to remark , that the angles of the one ... other . Thus , in the triangles ...
... sides proportional , and are consequently similar . Two triangles which have their sides parallel or perpendicular , each to each , are similar . 267. It is sufficient to remark , that the angles of the one ... other . Thus , in the triangles ...
Σελίδα 189
... sides proportional , therefore A'B ' AB = A'C ' A B AC = B'C ' BC Comparing these proportions , since ADA'B ' , we ... Two triangles which have two sides of the one pro- portional to two sides of the other , and the in- cluded angles ...
... sides proportional , therefore A'B ' AB = A'C ' A B AC = B'C ' BC Comparing these proportions , since ADA'B ' , we ... Two triangles which have two sides of the one pro- portional to two sides of the other , and the in- cluded angles ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Course of Plane Geometry and Mensuration Richard Wormell Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C angle applied axis base bisecting called centre chord circumference coincide compasses construction contains corresponding curve describe describe a circle diagonals diameter difference direction distance divide division draw drawn edge equal equilateral triangle evident example extremities fall figure fixed formed four Geometry give given circle given point given radius given straight line greater ground half height Hence hexagon hypothenuse inscribed intersection isosceles join length less line drawn mark means measure meet method middle point number of sides obtained opposite sides parallel parallelogram pass pentagon perpendicular placed plane position problem produced proportional Prove quadrilateral radii radius ratio rectangle regular polygon represents respectively right-angles ruler segments Show sides similar square star Suppose surface symmetrical tangent termed third touch triangle unit vertical yards
Δημοφιλή αποσπάσματα
Σελίδα 55 - ... parallel to the first. 75. No two straight lines drawn from the extremities of the base of a triangle to the opposite sides can possibly bisect each other. 76. If the opposite sides of a quadrilateral are equal it is a parallelogram. 77. If the opposite angles of a quadrilateral are equal it is a parallelogram. 78. The diagonals of a parallelogram bisect each other. 79. If the diagonals of a quadrilateral bisect each other it is a parallelogram. 80. If the straight line joining two opposite angles...
Σελίδα 151 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Σελίδα 66 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 90 - There are two columns in the ruins of Persepolis, left standing upright ; one is 70 feet above the plane, and the other 50...
Σελίδα 5 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.
Σελίδα 77 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Σελίδα 90 - May-pole, whose top was broken off" by a blast of wind, struck the ground at the distance of 15 feet from the foot of the pole ; what was the height of the whole May-pole, supposing the length of the broken piece to be 39 feet ?
Σελίδα 44 - S.SO. 1. Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.