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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |
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Resultat 1-5 av 42
Side 3
... 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 ...
Side 43
... 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 ...
Side 47
... 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 ...
Side 49
... 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 a2b2 + 26c + c2 ; adding c2 to each member of this equality , we shall have , a2 + c2b2 + 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 a2b2 + 26c + c2 ; adding c2 to each member of this equality , we shall have , a2 + c2b2 + 2bc + 2c2 ...
Side 50
... 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 angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP 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 third touches the circle triangle ABC triangle DEF wherefore