A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 70
Page 316
... triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may coincide with the point F , and the side AC with the side DF , which is equal ... triangles ABC , DEF , have the 316 GEOMETRY . Axioms,
... triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may coincide with the point F , and the side AC with the side DF , which is equal ... triangles ABC , DEF , have the 316 GEOMETRY . Axioms,
Page 317
... triangles ABC , DEF , have the anglÉ™ A equal to the angle D , the angle B equal to the angle E , and the side AB equal to the side DE ; then these two triangles will be identical . A F B D E For , conceive the triangle ABC to be placed ...
... triangles ABC , DEF , have the anglÉ™ A equal to the angle D , the angle B equal to the angle E , and the side AB equal to the side DE ; then these two triangles will be identical . A F B D E For , conceive the triangle ABC to be placed ...
Page 318
... triangle is also equilateral . THEOREM V. When two triangles have all the ... ABC , ABD , have their three sides respectively equal , viz . the side AB ... ABC to the angle ABD , and the angle C to the angle D. For , conceive the two ...
... triangle is also equilateral . THEOREM V. When two triangles have all the ... ABC , ABD , have their three sides respectively equal , viz . the side AB ... ABC to the angle ABD , and the angle C to the angle D. For , conceive the two ...
Page 319
... ABC be a triangle , having the side AB pro- duced to D ; then will the outward angle CBD be greater than either of ... triangles AEC , BEF , have the side AE the side EF , and the side CE the side BE ( by suppos . ) , and the included or ...
... ABC be a triangle , having the side AB pro- duced to D ; then will the outward angle CBD be greater than either of ... triangles AEC , BEF , have the side AE the side EF , and the side CE the side BE ( by suppos . ) , and the included or ...
Page 320
... triangle , is opposite to the greater angle ; and the greater angle opposite to the greater side . Let ABC be a triangle , having the side AB greater than the side AC ; then will the angle ACB , opposite the greater side AB , be greater ...
... triangle , is opposite to the greater angle ; and the greater angle opposite to the greater side . Let ABC be a triangle , having the side AB greater than the side AC ; then will the angle ACB , opposite the greater side AB , be greater ...
Other editions - View all
Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards