The Elements of Euclid |
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Side 16
PROB . t + FROM the greater of two given straight lines to cut off a part equal to
the less . Let AB and C be the two given straight lines , whereof AB is the greater .
It is required to cut off from AB , the greater , a part equal to C , the less . А a 2.
PROB . t + FROM the greater of two given straight lines to cut off a part equal to
the less . Let AB and C be the two given straight lines , whereof AB is the greater .
It is required to cut off from AB , the greater , a part equal to C , the less . А a 2.
Side 19
1 . equal to AC , the less , and join DC ; thereА fore , because in the triangles
DBC , ACB , DB is equal to AC , and BC common to D both , the two sides DB ,
BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to
the ...
1 . equal to AC , the less , and join DC ; thereА fore , because in the triangles
DBC , ACB , DB is equal to AC , and BC common to D both , the two sides DB ,
BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to
the ...
Side 26
ANY two angles of a triangle are together less than two right angles . Let ABC be
any triangle ; any А two of its angles together are less than two right angles .
Produce BC to D ; and be . cause ACD is the exterior anyle of the triangle ABC , ...
ANY two angles of a triangle are together less than two right angles . Let ABC be
any triangle ; any А two of its angles together are less than two right angles .
Produce BC to D ; and be . cause ACD is the exterior anyle of the triangle ABC , ...
Side 27
ABC , BCA are less than two right angles . In like manner , it may be
demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right
angles , Therefore any two angles , & c . Q. E. D. 2.9 PROP . XVIII , THEOR . THE
greater side of ...
ABC , BCA are less than two right angles . In like manner , it may be
demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right
angles , Therefore any two angles , & c . Q. E. D. 2.9 PROP . XVIII , THEOR . THE
greater side of ...
Side 28
Euclid, Robert Simson. Book I. but it is not ; therefore the side AC not less than AB
; and it has been shown that it is not equal to AB ; therefore AC is greater than AB
. Wherefore the greater angle , & c . Q. E. D. PROP . XX . THEOR . Soe Nate .
Euclid, Robert Simson. Book I. but it is not ; therefore the side AC not less than AB
; and it has been shown that it is not equal to AB ; therefore AC is greater than AB
. Wherefore the greater angle , & c . Q. E. D. PROP . XX . THEOR . Soe Nate .
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Vanlige uttrykk og setninger
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Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Johnson and Warner, 1811 |
| Original fra | University of Chicago |
| Digitalisert | 17. jun 2013 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |