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 100
Side i
Miles Bland. CONTENTS . SECTION I. Page 1 . 1. FROM a given point to draw the shortest line possible to a given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal ...
Miles Bland. CONTENTS . SECTION I. Page 1 . 1. FROM a given point to draw the shortest line possible to a given straight line . 2. If a perpendicular be drawn bisecting a given straight line , any point in this perpendicular is at equal ...
Side ii
... given in position , to draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments that ...
... given in position , to draw a line such that the parts intercepted by the point and the lines may have a given ratio . 11. From a given point to draw a straight line which shall cut off from lines containing a given angle , segments that ...
Side iii
... line drawn from the angle perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point there be drawn three straight lines fortning angles less than right angles , and from another given point without ...
... line drawn from the angle perpendicular to the bisecting line ; it will be harmonically divided . 22. If from a given point there be drawn three straight lines fortning angles less than right angles , and from another given point without ...
Side iv
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the ...
Miles Bland. line joining these latter points may be equal to a given line , and their respective distances from the former points in a given ratio . 28. If a straight line be divided into any two parts and pro- duced , so that the ...
Side v
... lines which are intercepted within the circle are equal . 3. Of all straight lines which can be drawn from two given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make ...
... lines which are intercepted within the circle are equal . 3. Of all straight lines which can be drawn from two given points to meet on the convex circumference of a given circle ; the sum of those two will be the least , which make ...
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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