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" And AB is parallel to CD ; therefore AC is a parallelogram. In like manner, it may be proved, that each of the figures CE, FG, GB, BF, AE is a parallelogram: Join AH, DF; and... "
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... - Side 21
av A. Bell - 1837 - 164 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...In like manner it may be proved that each of the figures CE, FG, GB, BF, AE is a parallellelogram : join AH, DF ; and because AB is parallel to DC, and...are parallel to DC and CF which meet one another, and are not hi the same plane with the other two : wherefore they contain equal angles (10. 11.); the...
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The Elements of Euclid

Euclid - 1838 - 470 sider
...In like manner it may be proved that each of the figures CE, FG, GB, BF, AE is a paralleflelogram :. join AH, DF ; and because AB is parallel to DC, and...are parallel to DC and CF which meet one another, and are not in the same plane with the other two : wherefore they contain equal angles (10. 11.); the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE is a parallelogram. Join AH, DF; and because AB is parallel...two straight lines AB, BH, which meet one another, D '* are parallel to DC and CF which meet one another, and are not in the same plane with the other...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...manner it may be proved, that each of the figures CE, FG, GB, BF, AE is a. parallelogram. Join AH,DF; And because AB is parallel to DC, and BH to CF ; the...are parallel to DC and CF, which meet one another, and are not in the same plane with the other two: wherefore they contain equal angles ; (xi. 1 0.)...
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An elementary course of mathematics, Volum 2

Samuel Hunter Christie - 1847 - 172 sider
...parallel planes AC, GF ; BG, CE; FB, AE: its opposite planes shall be similar and equal parallelograms. Join AH, DF; and because AB is parallel to DC, and...parallel to DC and CF, which meet one another: wherefore they contain equal angles (Prop. 20); therefore the angle ABH is equal to the angle DCF. And because...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 332 sider
...a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BE, AE is a parallelogram ; join AH, DF ; and because AB is parallel...meet one an*other, are parallel to DC and CF, which rn^et one another ; wherefore, though the first two are not in the same plane with the other two, they...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 sider
...a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BE, AE is a parallelogram ; join AH, DF ; and because AB is parallel...two straight lines AB, BH, which meet one another, 4re parallel to DC and CF, which meet one another ; wherefore, though the first two are not in the...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 sider
...parallelogram. In like manner it may be proved, that each of the figures & B . CE, FG, GB, BF, AE is a parallelogram. Join AH, DF : and because AB is parallel...£|' "' DC, and BH to CF ; the two straight lines cs f. 4. AB, BH, which meet one another, are paral- </) i. 34. lei to DC and CF, which meet one another,...
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The Elements of Euclid, with Many Additional Propositions and Explanatory ...

Euclid - 1876 - 240 sider
...a parallelogram. In like manner it may be proved, that each of the figures CE, FG, GB, BF, AE is a parallelogram. Join AH, DF : and because AB is parallel...straight lines AB, BH, which meet one another, are paral- (d) i. 34. lei to DC and CF, which meet one another, and are not in the same plane with the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...be proved that e:ich of the •figures CE, FG, GB, BF, and AE is a parallelogram. Join AH and D F. Because AB is parallel to DC, and BH to CF ; the two straight lines AB and BH, which meet one another, are parallel to the two straight lines DC and CF, which meet one another,...
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