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 TrigonometryW. E. Dean, 1840 - 317 σελίδες |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα 7
... difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner , A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum ...
... difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner , A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum ...
Σελίδα 46
... difference of two given squares . Draw , as in the last problem , ( see the fig . ) the lines AC , AD , at right angles to each other , making AC equal to the side of the less square ; then , from C as centre , with a radius equal to ...
... difference of two given squares . Draw , as in the last problem , ( see the fig . ) the lines AC , AD , at right angles to each other , making AC equal to the side of the less square ; then , from C as centre , with a radius equal to ...
Σελίδα 51
... difference , or that AC2 - CD2 = ( AC + CD ) ( AC— " CD ) . " SCHOLIUM . In this proposition , let AC be denoted by ... difference of two quantities , is equivalent to the difference of their squares . PROP . VI THEOR . If a straight ...
... difference , or that AC2 - CD2 = ( AC + CD ) ( AC— " CD ) . " SCHOLIUM . In this proposition , let AC be denoted by ... difference of two quantities , is equivalent to the difference of their squares . PROP . VI THEOR . If a straight ...
Σελίδα 53
... difference of the lines . " SCHOLIUM . In this proposition , let AB be denoted by a , and the segments AC and CB by b and c ; then a2 = b2 + 2bc + c2 ; adding c2 to each member of this equality , we shall have , a2 + c2 = b2 + 2bc + 2c2 ...
... difference of the lines . " SCHOLIUM . In this proposition , let AB be denoted by a , and the segments AC and CB by b and c ; then a2 = b2 + 2bc + c2 ; adding c2 to each member of this equality , we shall have , a2 + c2 = b2 + 2bc + 2c2 ...
Σελίδα 54
... difference of " the lines AB and BC , four times the rectangle contained by any two " lines , together with the square of their difference , is equal to the square " of the sum of the lines . " " COR . 2. From the demonstration it is ...
... difference of " the lines AB and BC , four times the rectangle contained by any two " lines , together with the square of their difference , is equal to the square " of the sum of the lines . " " COR . 2. From the demonstration it is ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore