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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 7
... 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 . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus , AX ...
... 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 . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus , AX ...
Σελίδα 20
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . PROP . XV . THEOR . If two straight lines cut one another , the vertical , or ...
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . PROP . XV . THEOR . If two straight lines cut one another , the vertical , or ...
Σελίδα 21
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B E T C D G PROP . XVII . THEOR . Any two angles of a triangle are together less than ...
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B E T C D G PROP . XVII . THEOR . Any two angles of a triangle are together less than ...
Σελίδα 22
... manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . . B SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest ...
... manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . . B SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest ...
Σελίδα 27
... manner it may be demonstrated that they A E B G do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) C F D to one another . AB therefore is parallel to CD ...
... manner it may be demonstrated that they A E B G do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) C F D to one another . AB therefore is parallel to CD ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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