A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 3
... triangle is equal to two right angles , this is a Theorem , the truth of which is demonstrated by Geometry . — A set or col- lection of such Theorems constitutes a Theory . 7. A Problem is a proposition or a question requiring something ...
... triangle is equal to two right angles , this is a Theorem , the truth of which is demonstrated by Geometry . — A set or col- lection of such Theorems constitutes a Theory . 7. A Problem is a proposition or a question requiring something ...
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 . C F ΔΑ 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 . C F ΔΑ 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
... triangles will be identical . F 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 hyp ...
... triangles will be identical . F 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 hyp ...
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 ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes 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 quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards