Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 19.
Σελίδα 10
... remaining will be equal . As if A + CBD , and AB ; then fhall C = D .. 4. If to unequal things you add equal things , the wholes will be unequal . As if AB and C = D ; then fhall A + CB + D . 5. If from unequal things you take away ...
... remaining will be equal . As if A + CBD , and AB ; then fhall C = D .. 4. If to unequal things you add equal things , the wholes will be unequal . As if AB and C = D ; then fhall A + CB + D . 5. If from unequal things you take away ...
Σελίδα 15
Euclid. qual to the Triangle ( bac ) ;, and the remaining An- gles ( B , C ) fhall be equal to the remaining Angles ( b , c ) each to each , under which the equal Sides are fubtended . If the Point a be applied to the Point A , and the ...
Euclid. qual to the Triangle ( bac ) ;, and the remaining An- gles ( B , C ) fhall be equal to the remaining Angles ( b , c ) each to each , under which the equal Sides are fubtended . If the Point a be applied to the Point A , and the ...
Σελίδα 27
... one Side of the other , either that Side AA which lies between the equal Angles , or that which is fubtended by one of the equal Angles : each remaining Side a 3. 1 . b fuppof . c hyp . Book I. 26 EUCLID'S Elements .
... one Side of the other , either that Side AA which lies between the equal Angles , or that which is fubtended by one of the equal Angles : each remaining Side a 3. 1 . b fuppof . c hyp . Book I. 26 EUCLID'S Elements .
Σελίδα 28
... remaining Side of the other ; and the remaining Angle of the one shall be equal to the remaining Angle of the other . Hyp . 1. Let BC = be ; I fay , BA = ba , and AC ac , and the Angle Abac . For if you fay that ba BA , make a bd BA ...
... remaining Side of the other ; and the remaining Angle of the one shall be equal to the remaining Angle of the other . Hyp . 1. Let BC = be ; I fay , BA = ba , and AC ac , and the Angle Abac . For if you fay that ba BA , make a bd BA ...
Σελίδα 31
... remaining Angle of the one , equal to the remaining Angle of the other . In like manner , if two Triangles have one Angle of the one , equal to one of the other ; then is the Sum of the remaining Angles of the one Triangle , equal to ...
... remaining Angle of the one , equal to the remaining Angle of the other . In like manner , if two Triangles have one Angle of the one , equal to one of the other ; then is the Sum of the remaining Angles of the one Triangle , equal to ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Σελίδα 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Σελίδα 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Σελίδα 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.