Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 13
... congruent . We shall show that two triangles must be congruent if in the one the following parts are equal to the corresponding parts of the other . I. The three sides . II . Two sides and the included angle . III . Two angles and a ...
... congruent . We shall show that two triangles must be congruent if in the one the following parts are equal to the corresponding parts of the other . I. The three sides . II . Two sides and the included angle . III . Two angles and a ...
Σελίδα 18
... congruent ; otherwise not . Now if C and C ' be both acute or both obtuse angles , the points C and C ' will both lie on the same side of the perpen- dicular , and will coincide . If one of the angles C and C ′ be acute and the other ...
... congruent ; otherwise not . Now if C and C ' be both acute or both obtuse angles , the points C and C ' will both lie on the same side of the perpen- dicular , and will coincide . If one of the angles C and C ′ be acute and the other ...
Σελίδα 19
... congruent . This is a very common and important case , and admits easily of an independent demon- stration . For if AB , A'B ' be placed so as to coincide , AC , A'C ' being equal must be equally distant from the perpendicular ...
... congruent . This is a very common and important case , and admits easily of an independent demon- stration . For if AB , A'B ' be placed so as to coincide , AC , A'C ' being equal must be equally distant from the perpendicular ...
Σελίδα 24
... congruent triangles , and EG = GF . Also the angles EGA , FGA are equal , therefore EF is per- pendicular to AD . The system is thus perfectly symmetrical with regard to AD , for corresponding to every point , line , or angle on the one ...
... congruent triangles , and EG = GF . Also the angles EGA , FGA are equal , therefore EF is per- pendicular to AD . The system is thus perfectly symmetrical with regard to AD , for corresponding to every point , line , or angle on the one ...
Σελίδα 27
... AD perpendicular to BC : shew that the triangles ABC , ABD are equiangular to one another . Also they have a side common , how is it that they are not congruent ? 22. If through the middle point of one side of THE STRAIGHT LINE . 27.
... AD perpendicular to BC : shew that the triangles ABC , ABD are equiangular to one another . Also they have a side common , how is it that they are not congruent ? 22. If through the middle point of one side of THE STRAIGHT LINE . 27.
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Συχνά εμφανιζόμενοι όροι και φράσεις
A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex