Treatise on Geometry and Trigonometry: For Colleges, Schools and Private Students |
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Page 26
... 681998 684123 686242 694658 696748 688355 690462 698832 700909 702981 692563 694658 46 705047 707107 +45 47 45 60 ' 50 ' 40 ' 30 ' 20 ' 10 ' 0 ' Deg . M. Sine . Tang . PPI M. M. Sine . 368 TABLE III . - NATURAL SINES .
... 681998 684123 686242 694658 696748 688355 690462 698832 700909 702981 692563 694658 46 705047 707107 +45 47 45 60 ' 50 ' 40 ' 30 ' 20 ' 10 ' 0 ' Deg . M. Sine . Tang . PPI M. M. Sine . 368 TABLE III . - NATURAL SINES .
Page 30
... Tang . PPI M. M. Sine . ייוייד Tang . PPI " M. 0 81 00 60 0 8.241855 8.241921 60 119.6 119.7 1 6.463726 6.463726 59 5017 2 764756 764756 58 2935 3 910847 940847 57 2082 4 7.065786 7.065786 56 1615 5 162696 162696 55 1320 241877 241878 ...
... Tang . PPI M. M. Sine . ייוייד Tang . PPI " M. 0 81 00 60 0 8.241855 8.241921 60 119.6 119.7 1 6.463726 6.463726 59 5017 2 764756 764756 58 2935 3 910847 940847 57 2082 4 7.065786 7.065786 56 1615 5 162696 162696 55 1320 241877 241878 ...
Page 31
... Tang . PP " M. M. 8.543084 60 0 Sine . PP " Tang . PP M. 8.718800 8.719396 60 60.04 60.12 1 546422 546691 59.55 59.62 2 549995 550268 59.06 59.14 3 553539 553817 158.58 58.66 4 557054 557336 38355 40.06 40.17 59 1 721204 721806 59 39.84 ...
... Tang . PP " M. M. 8.543084 60 0 Sine . PP " Tang . PP M. 8.718800 8.719396 60 60.04 60.12 1 546422 546691 59.55 59.62 2 549995 550268 59.06 59.14 3 553539 553817 158.58 58.66 4 557054 557336 38355 40.06 40.17 59 1 721204 721806 59 39.84 ...
Page 32
... Tang . PP " M. M. Sine . PPI " Tang . PP M. 8.843585 8.844644 30.05 30.19 845387 846455 29.92 30.07 847183 848260 29.80 29.95 848971 850057 29.67 29.82 850751 851846 29.55 29.70 852525 853628 29.43 29.58 854291 855403 29.31 29.46 856049 ...
... Tang . PP " M. M. Sine . PPI " Tang . PP M. 8.843585 8.844644 30.05 30.19 845387 846455 29.92 30.07 847183 848260 29.80 29.95 848971 850057 29.67 29.82 850751 851846 29.55 29.70 852525 853628 29.43 29.58 854291 855403 29.31 29.46 856049 ...
Page 33
... Tang . PP " M. M. Sine . PPI " Tang . PPP M. 0 9.019235 9.021620 60 0 9.085894 9.089144 60 20.00 20.23 17.13 17.38 1 020435 022834 59 19.95 20.17 23 021632 024044 58 19.89 20.11 3 022825 025251 57 19.84 20.06 4 024016 026455 56 19.78 ...
... Tang . PP " M. M. Sine . PPI " Tang . PPP M. 0 9.019235 9.021620 60 0 9.085894 9.089144 60 20.00 20.23 17.13 17.38 1 020435 022834 59 19.95 20.17 23 021632 024044 58 19.89 20.11 3 022825 025251 57 19.84 20.06 4 024016 026455 56 19.78 ...
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Common terms and phrases
adjacent angles altitude angles equal apothem axis base bisect chord circle circumference circumscribed coincide cone Corollary Corollary.-The cosine Cotang curved surface cylinder demonstrated diagonals diameter dicular diedral angles diedral whose edge distance divided draw equal angles equally distant equivalent faces figure formula four right angles frustum functions Geometry given angle given line given point given straight line given triangle gles greater Hence homologous lines hypotenuse included angle inscribed intersection Join less let fall logarithm mantissa number of sides opposite sides parallel lines parallelogram parallelopiped perimeter perpen perpendicular polyedral prism Problem.-Given proportional pyramid quadrilateral radii radius ratio regular polygon respectively equal right angled triangle secant similar similarly arranged sine slant hight sphere spherical excess spherical polygon spherical triangle square student subtracting symmetrical Tang tangent tetraedrons theorem Theorem.-The triedral vertex vertices
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Page 237 - The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.
Page 233 - The volume of a rectangular parallelepiped is equal to the product of its three dimensions.
Page 126 - Theorem. — Two parallelograms are equal when two adjacent sides and the included angle in the one, are respectively equal to those parts in the other.