Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
Dentro del libro
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Página xiii
... lengths , angles , and areas 294 , 295 . Algebraical representation of these 296-299 . Dependent signs . Signs in Multiplication § 2. Application to Trigonometrical Ratios . 216-220 220 , 221 222-224 224 , 225 300 . Extended definition ...
... lengths , angles , and areas 294 , 295 . Algebraical representation of these 296-299 . Dependent signs . Signs in Multiplication § 2. Application to Trigonometrical Ratios . 216-220 220 , 221 222-224 224 , 225 300 . Extended definition ...
Página 8
... length or a weight , it is necessary to express the ratio it bears to a known length or weight . * In these four results , n is understood to be 0 or some positive integer . An explanation will be given later according to which n may be ...
... length or a weight , it is necessary to express the ratio it bears to a known length or weight . * In these four results , n is understood to be 0 or some positive integer . An explanation will be given later according to which n may be ...
Página 9
... lengths of its two adjacent sides . 20. The student should observe that an area is measured by the product of two numbers which measure lengths . This is expressed by saying that area is of the second dimen- sion in length . 21. The ...
... lengths of its two adjacent sides . 20. The student should observe that an area is measured by the product of two numbers which measure lengths . This is expressed by saying that area is of the second dimen- sion in length . 21. The ...
Página 11
... lengths . This is equivalent to Euclid's statement that " Similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . " 24. The area of any rectilineal figure may be found by dividing it into ...
... lengths . This is equivalent to Euclid's statement that " Similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . " 24. The area of any rectilineal figure may be found by dividing it into ...
Página 14
... length . Then 5 and 12 are the measures of the two sides . .. ( measure of hypothenuse ) 2 = 52 + 122 = 25 + 144 = 169 , .. measure of hypothenuse = √169 = 13 , .. hypothenuse = 13 ft . Example 2. The hypothenuse and base of a right ...
... length . Then 5 and 12 are the measures of the two sides . .. ( measure of hypothenuse ) 2 = 52 + 122 = 25 + 144 = 169 , .. measure of hypothenuse = √169 = 13 , .. hypothenuse = 13 ft . Example 2. The hypothenuse and base of a right ...
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Términos y frases comunes
acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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