A treatise on mensuration, both in theory and practice. The second edition, with many additionsG. G. J.&J. Robinson, 1788 - 16 pages |
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Page x
... tangent of fome certain arc of the circle , was the quantity by whofe powers the feries con- verged ; and from fome of these feries , the area hath been com- puted to a great extent of figures . Dr. Edmund Halley gave a remarkable one ...
... tangent of fome certain arc of the circle , was the quantity by whofe powers the feries con- verged ; and from fome of these feries , the area hath been com- puted to a great extent of figures . Dr. Edmund Halley gave a remarkable one ...
Page xii
... tangents , and fecants of angles , I have given a new and extenfive method , by which all the cafes of trigonometry are performed independent of fines , tangents , and fecants , and without any kind of tables . Sect . 3. Contains the ...
... tangents , and fecants of angles , I have given a new and extenfive method , by which all the cafes of trigonometry are performed independent of fines , tangents , and fecants , and without any kind of tables . Sect . 3. Contains the ...
Page 2
... tangent to another , when it touches it , without cutting , when both are produced . 13. An angle is the inclination , or opening , of two lines , having different directions , and meeting in a point . 14. Angles are right or oblique ...
... tangent to another , when it touches it , without cutting , when both are produced . 13. An angle is the inclination , or opening , of two lines , having different directions , and meeting in a point . 14. Angles are right or oblique ...
Page 15
... Tangent to a given Circle . CASE 1. When A is in the Circumference of the Circle . From the given point A , - draw Ao to the center of the circle . Then through a draw Bс perpendicular to Ao , and it will be the tangent as re- quired ...
... Tangent to a given Circle . CASE 1. When A is in the Circumference of the Circle . From the given point A , - draw Ao to the center of the circle . Then through a draw Bс perpendicular to Ao , and it will be the tangent as re- quired ...
Page 24
... tangents parallel to them , and they will form the outer fquare mnop . 1 m C n A P D B Note . If any quadrant , as Ac , be bisected in q , it will give one - eighth of the circumference , or the fide of the octagon . PRO PROBLEM XXXIV ...
... tangents parallel to them , and they will form the outer fquare mnop . 1 m C n A P D B Note . If any quadrant , as Ac , be bisected in q , it will give one - eighth of the circumference , or the fide of the octagon . PRO PROBLEM XXXIV ...
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Common terms and phrases
abfcifs againſt alfo altitude angle area fine area bafe baſe becauſe breadth bung cafe cafk chains circle whofe circumference cofine cone confequently conjugate Corol corollary curve defcribe diagonal dimenfions diſtance divided divifion draw ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fides figure fimilar fince find the Area firft firſt fluxion folid fome fphere fpheroid fpindle fquare fruftum ftands ftation fubtract fuch fuppofing furface gallons given greateſt half hence hoof hyperbola inches inftrument inſtead interfecting laft laſt problem lefs length meaſure multiply muſt nearly oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule SCHOLIUM ſhall Sliding Rule tangent thefe theſe thofe thoſe tranfverfe trapezium triangle uſed Verf whofe whofe height whole whoſe ΙΟ