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
... equal distances , and any point without the perpendicular is at unequal distances , from the extre- mities of the line . 3. Through a given point , to draw a straight line which shall make equal angles with two straight lines given in ...
... equal distances , and any point without the perpendicular is at unequal distances , from the extre- mities of the line . 3. Through a given point , to draw a straight line which shall make equal angles with two straight lines given in ...
Side ii
... angle ; the lines joining the extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle . 17. To trisect a given finite straight line . 18. To divide a given straight line into any number of ...
... angle ; the lines joining the extremity of this line and of the proportionals will contain equal angles . 16. To trisect a right angle . 17. To trisect a given finite straight line . 18. To divide a given straight line into any number of ...
Side v
... equal angles with the line joining the same point and the centre , the parts of these 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 ...
... equal angles with the line joining the same point and the centre , the parts of these 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 ...
Side xiii
... equal to a given line . 76. If a chord and diameter of a circle intersect each other at any angle , and a perpendicular to the chord be drawn from either extremity of it , meeting the circumference and diameter produced ; the whole ...
... equal to a given line . 76. If a chord and diameter of a circle intersect each other at any angle , and a perpendicular to the chord be drawn from either extremity of it , meeting the circumference and diameter produced ; the whole ...
Side xvii
... equal to half the hypothenuse . 3. If from any point within an equilateral triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the ... sides , making equal angles with CONTENTS . xvii.
... equal to half the hypothenuse . 3. If from any point within an equilateral triangle perpendiculars be drawn to the sides ; they are together equal to a perpendicular drawn from any of the ... sides , making equal angles with CONTENTS . xvii.
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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