Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Σελίδα 181
... Parallelepipedons AGHEFBCD , AGHE MLKI , ftanding upon the fame Bafe AGHE , and F M B L A E. K G H having the fame Altitude ; that is , ftanding between the parallel Planes AGHE , FLKD , whofe infiftent N 3 Lines Lines AF , AM , are in ...
... Parallelepipedons AGHEFBCD , AGHE MLKI , ftanding upon the fame Bafe AGHE , and F M B L A E. K G H having the fame Altitude ; that is , ftanding between the parallel Planes AGHE , FLKD , whofe infiftent N 3 Lines Lines AF , AM , are in ...
Σελίδα 182
... Parallelepipedons ABCDEFGH and ABCDKIML , that stand upon the fame Bafe ACBD , and have the fame Altitude , whofe infiftent Lines CF , CI , DE , DM , BG , BK , AH , AL , do not fall in the fame ftreight Lines , are equal to each other ...
... Parallelepipedons ABCDEFGH and ABCDKIML , that stand upon the fame Bafe ACBD , and have the fame Altitude , whofe infiftent Lines CF , CI , DE , DM , BG , BK , AH , AL , do not fall in the fame ftreight Lines , are equal to each other ...
Σελίδα 183
... Parallelepipedons ALEKGMBI , CPO HQDN ftanding upon equal Bafes ALEK , CPOO , and having the fame Altitude , are equal to one another . * N D E H V B P R FA K Y G M Z S B T A L ( 1 ) Let the Parallelepipedons AB , CD have their Sides ...
... Parallelepipedons ALEKGMBI , CPO HQDN ftanding upon equal Bafes ALEK , CPOO , and having the fame Altitude , are equal to one another . * N D E H V B P R FA K Y G M Z S B T A L ( 1 ) Let the Parallelepipedons AB , CD have their Sides ...
Σελίδα 184
... Parallelepipedons up- on thofe Bafes , that have the fame Altitude , and have their Sides parallel to their Bases : f 29. 11. thefe fhall be equal f to one another , and to the oblique ones ; and confequently the oblique ones AB , CD ...
... Parallelepipedons up- on thofe Bafes , that have the fame Altitude , and have their Sides parallel to their Bases : f 29. 11. thefe fhall be equal f to one another , and to the oblique ones ; and confequently the oblique ones AB , CD ...
Σελίδα 186
... Parallelepipedons ADCB , EHGF whofe Ba- Jes and Altitudes are reciprocally proportional , are equal . F B GA K C D L H a 3.1 . 31. 1 . 32. II . 17. 5 . с I. 6 . comft . f 8 11.5 . & 32. 11 . h byp . i k 1 1. 6 . 32. II . 9.5 . A E ( 1 ...
... Parallelepipedons ADCB , EHGF whofe Ba- Jes and Altitudes are reciprocally proportional , are equal . F B GA K C D L H a 3.1 . 31. 1 . 32. II . 17. 5 . с I. 6 . comft . f 8 11.5 . & 32. 11 . h byp . i k 1 1. 6 . 32. II . 9.5 . A E ( 1 ...
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.