Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Σελίδα viii
They are omitted , however , as I conceive , without any good reason , because , to measure the length of the simplest of all the curves which Geometry treats of , and the space contained within it , are problems that certainly belong ...
They are omitted , however , as I conceive , without any good reason , because , to measure the length of the simplest of all the curves which Geometry treats of , and the space contained within it , are problems that certainly belong ...
Σελίδα xii
It contains the rudiments of what is properly called the Geometrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an ...
It contains the rudiments of what is properly called the Geometrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an ...
Σελίδα xv
... without proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propositions are , which must cease to be true if this proposition were supposed to be false ?
... without proof , most men will be inclined to admit ; but are we for that reason to account it of no consequence to know what the propositions are , which must cease to be true if this proposition were supposed to be false ?
Σελίδα 34
is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
Σελίδα 48
to the triangle ADC : And because EKHA is a paB G С rallelogram and AK its diameter , the triangle AEK is equal to the triangle AHK : For the same reason , triangle KGC is equal to the triangle KFC . Then , because the triangle AEK is ...
to the triangle ADC : And because EKHA is a paB G С rallelogram and AK its diameter , the triangle AEK is equal to the triangle AHK : For the same reason , triangle KGC is equal to the triangle KFC . Then , because the triangle AEK is ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole