Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página 3
... less than two right - angles , a Trigonometrical angle may have any magnitude whatever . In fact , any Trigo- nometrical angle greater than two right - angles may be regarded as made up by the summation of a number of Geometrical angles ...
... less than two right - angles , a Trigonometrical angle may have any magnitude whatever . In fact , any Trigo- nometrical angle greater than two right - angles may be regarded as made up by the summation of a number of Geometrical angles ...
Página 12
... , DFE are necessarily equal without any other alternative . Cor . 2. If AC is equal to or greater than AB , then △ ABC is equal to or greater than ACB . L But two angles of a triangle are together less than 12 INTRODUCTION .
... , DFE are necessarily equal without any other alternative . Cor . 2. If AC is equal to or greater than AB , then △ ABC is equal to or greater than ACB . L But two angles of a triangle are together less than 12 INTRODUCTION .
Página 13
William Ernest Johnson. But two angles of a triangle are together less than two right - angles , therefore ACB is acute . 2 Similarly DF being equal to AC , and DE to AB , the angle DFE is acute . This brings us to Cor . 1 , showing that ...
William Ernest Johnson. But two angles of a triangle are together less than two right - angles , therefore ACB is acute . 2 Similarly DF being equal to AC , and DE to AB , the angle DFE is acute . This brings us to Cor . 1 , showing that ...
Página 16
... less than BAC . The angle CBD is 112 ° 11 ′ 44 ′′ ; and the angle EAB is 67 ° 48 ′ 16 " . Find the angles of the triangle ABC . 13. What trigonometrical angles has the minute hand of a clock described since midnight at 3.15 a.m. , at ...
... less than BAC . The angle CBD is 112 ° 11 ′ 44 ′′ ; and the angle EAB is 67 ° 48 ′ 16 " . Find the angles of the triangle ABC . 13. What trigonometrical angles has the minute hand of a clock described since midnight at 3.15 a.m. , at ...
Página 18
... less than , or greater than the other . Thus , an inch and a mile - a degree and a grade — a triangle and a square - are pairs of quantities which are comparable in magnitude . But a line and an angle - a line and an area - an angle and ...
... less than , or greater than the other . Thus , an inch and a mile - a degree and a grade — a triangle and a square - are pairs of quantities which are comparable in magnitude . But a line and an angle - a line and an area - an angle and ...
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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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