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 |
Fra bogen
Resultater 1-5 af 100
Side 7
... Let ABC be the given angle , and P the given point , either without or within . In BA take any point A , and take AB : BC in the given ratio . Join AC , and from P draw PDE parallel to AC . PDE is the line required . A D P E For since ...
... Let ABC be the given angle , and P the given point , either without or within . In BA take any point A , and take AB : BC in the given ratio . Join AC , and from P draw PDE parallel to AC . PDE is the line required . A D P E For since ...
Side 8
... Let ABC be the given angle , DE parallel to AB , and P the given point . From P draw PC parallel B с A D to DE or AB , and take BE : CF in the given ratio . Join FP and produce it to A ; APF is the line required . For since DE and CP ...
... Let ABC be the given angle , DE parallel to AB , and P the given point . From P draw PC parallel B с A D to DE or AB , and take BE : CF in the given ratio . Join FP and produce it to A ; APF is the line required . For since DE and CP ...
Side 25
... ABC let two lines PB , PD be drawn making equal angles with PO , the line joining P and the centre ; AB shall be equal to CD . E B P 0 F Let fall the perpendiculars OE , OF ; then since the angle at E is equal to the angle at F , and ...
... ABC let two lines PB , PD be drawn making equal angles with PO , the line joining P and the centre ; AB shall be equal to CD . E B P 0 F Let fall the perpendiculars OE , OF ; then since the angle at E is equal to the angle at F , and ...
Side 26
... Let the two circles ABC , ABD cut each other in A and B , draw the diameters AC , AD , and join BC , BD ; CB and BD are in the same straight line . Join AB ; the angles ABC , ABD being angles in semicircles are right angles , and ...
... Let the two circles ABC , ABD cut each other in A and B , draw the diameters AC , AD , and join BC , BD ; CB and BD are in the same straight line . Join AB ; the angles ABC , ABD being angles in semicircles are right angles , and ...
Side 35
Miles Bland. Let AB be the given line in the cir- cle ABC whose centre is 0. Draw the diameter CD at right angles to AB : and taking a line EF which has to AB the given ratio ( Eucl . vi . 12. ) , place it in the circle ABC ; bisect it ...
Miles Bland. Let AB be the given line in the cir- cle ABC whose centre is 0. Draw the diameter CD at right angles to AB : and taking a line EF which has to AB the given ratio ( Eucl . vi . 12. ) , place it in the circle ABC ; bisect it ...
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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