The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 40
... Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . TRIANGLES upon equal bases , and between the same parallels , are equal to one another . 24 Let the triangles ABC , DEF be upon equal bases BC , EF , and between the same ...
... Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . TRIANGLES upon equal bases , and between the same parallels , are equal to one another . 24 Let the triangles ABC , DEF be upon equal bases BC , EF , and between the same ...
Side 41
... Wherefore equal triangles upon , & c . Q. E. D. B C PROP . XL . THEOR . EQUAL triangles upon equal bases , in the same straight line , and towards the same parts , are between the same parallels . Let the equal triangles ABC , DEF be ...
... Wherefore equal triangles upon , & c . Q. E. D. B C PROP . XL . THEOR . EQUAL triangles upon equal bases , in the same straight line , and towards the same parts , are between the same parallels . Let the equal triangles ABC , DEF be ...
Side 44
... wherefore the angles BHF , HFE are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12. Ax . ) if produced far enough ...
... wherefore the angles BHF , HFE are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12. Ax . ) if produced far enough ...
Side 52
... wherefore the figure CGKB is equilate- ral ; it is likewise rectangular ; for CG is parallel to BK , and CB meets them ; the angles KBC , GCB are therefore D equal to two right angles ; and KBC is a right angle ; wherefore GCB is a ...
... wherefore the figure CGKB is equilate- ral ; it is likewise rectangular ; for CG is parallel to BK , and CB meets them ; the angles KBC , GCB are therefore D equal to two right angles ; and KBC is a right angle ; wherefore GCB is a ...
Side 56
... wherefore AG is equal also to RF : therefore the four rect- angles AG , MP , PL , RF are equal to E one another , and so are quadruple of one X GK ' P R HL F D N ZO 0 of them AG . And it was demonstrated that the four CK , BN , GR , and ...
... wherefore AG is equal also to RF : therefore the four rect- angles AG , MP , PL , RF are equal to E one another , and so are quadruple of one X GK ' P R HL F D N ZO 0 of them AG . And it was demonstrated that the four CK , BN , GR , and ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore