A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 296
... triangles be identical , or equal in all respects . C F B D E For conceive the 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 ...
... triangles be identical , or equal in all respects . C F B D E For conceive the 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 ...
Page 297
... triangles will be identical . A A For , conceive the triangle ABC to be placed on the triangle DEF , in such manner that the side AB may fall exactly on the equal side DE . Then , since the angle A is equal to the angle D ( hyp ...
... triangles will be identical . A A For , conceive the triangle ABC to be placed on the triangle DEF , in such manner that the side AB may fall exactly on the equal side DE . Then , since the angle A is equal to the angle D ( hyp ...
Page 298
... ABC ( ax . 8 ) . Consequently the two angles ABC , ABD , are also equal to two right angles . Cor . 1. Hence also ... triangle is produced , the outward angle is greater than either of the two inward opposite angles . LET ABC be a ...
... ABC ( ax . 8 ) . Consequently the two angles ABC , ABD , are also equal to two right angles . Cor . 1. Hence also ... triangle is produced , the outward angle is greater than either of the two inward opposite angles . LET ABC be a ...
Page 299
... triangle has two of its angles equal , the sides opposite to them are also ... 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. A B For , conceive the two ...
... triangle has two of its angles equal , the sides opposite to them are also ... 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. A B For , conceive the two ...
Page 300
... 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 ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence