A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ; Adapted to the Use of Students ; Extracted Mostly from Similar Works of Ludlam, Playfair, Vince, and BonnycastleF. Nichols, 1811 - 128 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 64.
Σελίδα 2
... given angle ABC , the same number of parts will be contained in the arc GH of the other circle , subtending the same angle ABC . 5. COR . 4. Hence , if a circle of any radius whatever be di- vided into 360 equal parts , called degrees ...
... given angle ABC , the same number of parts will be contained in the arc GH of the other circle , subtending the same angle ABC . 5. COR . 4. Hence , if a circle of any radius whatever be di- vided into 360 equal parts , called degrees ...
Σελίδα 7
... given , the length of the sine , tangent , or secant of the same angle to any other given radius may be found by the common rule of proportion . A table exhibiting the length of the sine , tangent , and se- cant of every degree and ...
... given , the length of the sine , tangent , or secant of the same angle to any other given radius may be found by the common rule of proportion . A table exhibiting the length of the sine , tangent , and se- cant of every degree and ...
Σελίδα 15
... given , the remaining side and angles may be found ; or , if two angles and a side opposite to one of them be given , the other angle and sides may be found . Thus , if the sides AC , AB , and the angle C , be given , to find the rest ...
... given , the remaining side and angles may be found ; or , if two angles and a side opposite to one of them be given , the other angle and sides may be found . Thus , if the sides AC , AB , and the angle C , be given , to find the rest ...
Σελίδα 17
... given , then the base AB , or the sum of the segments AD , DB , is given , and the difference of the segments may be found by the proposition . But if the sum and difference of the segments be known , the segments may be found by ...
... given , then the base AB , or the sum of the segments AD , DB , is given , and the difference of the segments may be found by the proposition . But if the sum and difference of the segments be known , the segments may be found by ...
Σελίδα 18
... given , the other side and angles may be found . For , from the angle ACB we can find its supplement to 180 ° ( 18. 1 ) , equal to the angle HCB , half of which is the semi - sum of the angles at the base ; and their semi - difference ...
... given , the other side and angles may be found . For , from the angle ACB we can find its supplement to 180 ° ( 18. 1 ) , equal to the angle HCB , half of which is the semi - sum of the angles at the base ; and their semi - difference ...
Συχνά εμφανιζόμενοι όροι και φράσεις
90 degrees adjacent angle AHDL algebra analogy angle ABC angle ACB Answer arc or angle base centre chord circle comp complement cosecant cosine cotangent Euclid's Elements find the angles find the rest geometry Given the side greater than 90 half the sum half their difference height Hence hypothenuse AC included angle less than 90 logarithmic sines mathematics measured mechanical philosophy negative opposite angle perp perpendicular plane triangle plane trigonometry PROP propositions quadrant AH quantity right-angled spherical triangle right-angled triangle Scholium secant side AB side AC sides and angles sine a sine sine and cosine sine² sines and tangents solution spherical angle spherical triangle ABC spherical trigonometry supplement tables tangent of half theorems third side three angles three sides triangle are given trigono versed sine yards
Δημοφιλή αποσπάσματα
Σελίδα 12 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Σελίδα ix - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 23 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 13 - In any triangle, twice the rectangle contained by any two sides is to the difference between the sum of the squares of those sides, and the square of the base, as the radius to the cosine of the angle included by the two sides. Let ABC be any triangle, 2AB.BC is to the difference between AB2+BC2 and AC2 as radius to cos.
Σελίδα 87 - The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides of a spherical...
Σελίδα 74 - The sum of any two sides is greater than the third side, and their difference is less than the third side.