A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 358
... 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 362
... triangles be identical , or equal in all respects . F Å Å A 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 ...
... triangles be identical , or equal in all respects . F Å Å A 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 ...
Page 363
... triangle ABC will be exactly placed on the three sides of the triangle DEF : consequently the two triangles are identical ( ax . 9 ) , having the other two sides AC , BC , equal to the two DF , EF , and the remaining angle C equal to ...
... triangle ABC will be exactly placed on the three sides of the triangle DEF : consequently the two triangles are identical ( ax . 9 ) , having the other two sides AC , BC , equal to the two DF , EF , and the remaining angle C equal to ...
Page 364
... 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 365
... 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 axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards