Geometrical problems deducible from the first six books of Euclid, arranged and solved. To which is added, an appendix containing the elements of plane trigonometryJ. Smith, Printer to the University; and sold by Nicholson & Son, Deighton & Sons, Thorpe, and Newby, Cambridge; and J. Mawman, and F. C. & J. Rivington, London., 1819 - 377 sider |
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Resultater 1-5 af 31
Side xvii
... equilateral triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the ...
... equilateral triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the angles to the opposite side . 4. If the points of bisection of the sides of a given triangle be joined ; the ...
Side xviii
... triangles formed by these lines , the segments of the base , and the lines joining the intersections of the sides and the angles opposite , will be equal . 11. If from any point in the base of an isosceles triangle per- pendiculars be ...
... triangles formed by these lines , the segments of the base , and the lines joining the intersections of the sides and the angles opposite , will be equal . 11. If from any point in the base of an isosceles triangle per- pendiculars be ...
Side xxiv
... isosceles triangle is greater than the perimeter of a rectangular parallelogram , which is of the same alti- tude with , and equal to the given triangle . P 28. If from one of the acute angles of a right - angled triangle , a line be ...
... isosceles triangle is greater than the perimeter of a rectangular parallelogram , which is of the same alti- tude with , and equal to the given triangle . P 28. If from one of the acute angles of a right - angled triangle , a line be ...
Side xxix
... triangle , not isosceles about the angle , to draw a line without the triangle to the opposite side produced , which shall be a mean proportional between the segments of the side . 29. From the obtuse angle of any triangle , to draw a ...
... triangle , not isosceles about the angle , to draw a line without the triangle to the opposite side produced , which shall be a mean proportional between the segments of the side . 29. From the obtuse angle of any triangle , to draw a ...
Side xxxi
... isosceles triangle on a given finite straight line . 2. To describe a square which shall be equal to the difference of two squares , whose sides are given . COR . Hence a mean proportional between the sum and difference of two given ...
... isosceles triangle on a given finite straight line . 2. To describe a square which shall be equal to the difference of two squares , whose sides are given . COR . Hence a mean proportional between the sum and difference of two given ...
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Almindelige termer og sætninger
ABCD angle ABC angles at F base centre chord circle ABC circles cut circles touch circumference describe a circle divided draw a line Draw the diameter drawn parallel duplicate ratio equal angles equiangular Eucl extremities given angle given circle given in position given line given point given ratio given square given straight line given triangle intercepted isosceles triangle Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite side parallel to BC parallelogram pendicular perpen point of bisection point of contact point of intersection point required radius rectangle rectangle contained right angles segments semicircle shewn tangent touches the circle trapezium triangle ABC