A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 312
... Triangle is that whose three sides are all unequal . 27. A Right - angled Triangle is that which has one right angle . 28. Other triangles are Oblique - angled , and are either ob- tuse or acute . 29. An Obtuse - angled Triangle has one ...
... Triangle is that whose three sides are all unequal . 27. A Right - angled Triangle is that which has one right angle . 28. Other triangles are Oblique - angled , and are either ob- tuse or acute . 29. An Obtuse - angled Triangle has one ...
Page 316
... triangles be identical , or equal in all respects . C Å Å A B DE coincide For conceive the triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may with the point F , and the side AC with ...
... triangles be identical , or equal in all respects . C Å Å A B DE coincide For conceive the triangle ABC to be applied to , or placed on , the triangle DEF , in such a manner that the point C may with the point F , and the side AC with ...
Page 317
... triangles will be identical . ÅÅ A B D E 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 ( by ...
... triangles will be identical . ÅÅ A B D E 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 ( by ...
Page 318
... triangle is also equilateral . THEOREM V. When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each to each . Let the ...
... triangle is also equilateral . THEOREM V. When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each to each . Let the ...
Page 319
... triangle , having the side AB pro- duced to D ; then will the outward angle CBD be greater than either of the inward ... triangles AEC , BEF , have the side AE the side EF , and the side CE = the side BE ( by suppos . ) , and the ...
... triangle , having the side AB pro- duced to D ; then will the outward angle CBD be greater than either of the inward ... triangles AEC , BEF , have the side AE the side EF , and the side CE = the side BE ( by suppos . ) , and the ...
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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 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 positive 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