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" ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 10
por John Playfair - 1806 - 311 páginas
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...other. * 23. 1. •3.1. tHyp. t Constr. t Constr. •4.1. •5.1. t 9 Ax. • 19. 1. SeeN. B •4,1. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF; but the angle BAC greater than the angle EDF...
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The Philosophy of Human Knowledge: Or a Treatise on Language. A Course of ...

Alexander Bryan Johnson - 1828 - 216 páginas
...what, to most persons, would be uninteresting matter. PROPOSITION IV.— Theorem 1st. Let ABC, DBF be two triangles which have the two sides AB, AC,...to each ; viz. AB to DE , and. AC to DF ; and the a ngle BAC, equal to the angle EDF : the base BC shall be equal to the base EF. B That the base BC...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 páginas
...the other; the base of that which has the greater angle shall be greater than the base of the other.* Let ABC, DEF be two triangles which have the two sides AB, • Sec Note. AC equal to the two DE, DF, eacli to each, viz. AB equal to DE, and AC to DF ; but the...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 páginas
...opposite, and the base, or third side, of the one shall be equal to the base, or third side, of the other. Let ABC, DEF be two triangles, which have the two...two sides DE, DF, each to each, viz. AB to DE, and Л С to D F. and let them likewise have the angle ВАС equal to the angle EDF : their other angles...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 páginas
...greater base, shall be greater than the angle contained by the sides of the other. Let ABC, DEF he two triangles which have the two sides AB, AC, equal to the two sides DE, DF each to each, viz. AB equal to DE, and AC to DF : but let the base CB be greater than the base EF, the angle BAC is likewise...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 páginas
...third side the greater, shall be greater than the angle between the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF respectively, viz. AB to DE, and AC to DF ; but the third side BC is greater than the third...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. Let ABC, DEF be two triangles, which have the two...equal to the two sides DE, DF, each to each, viz. Book i. AB to DE, and AC to ^— v~* DF; and the angle BAC equal to the angle EDF ; the base BC shall...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...sake, the reader is referred : the second case as follows : — Let А В С, DEF be two spherical .A. triangles, which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. А В to DE and А С to DF, but DE lying in a direction from DF, which is the reverse of that in which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 páginas
...equal to one another, their bases or third sides, shall be equal; and the areas of the triangles shatt be equal ; and their other angles shall be equal,...DF, each to each, viz. AB to DE, and AC to DF ; and let the angle BAC be also equal to the angle EDF: then shall the base BC be equal to the base EV; and...
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A Treatise on Language: Or, The Relation which Words Bear to Things, in Four ...

Alexander Bryan Johnson - 1836 - 290 páginas
...assent to mathematical propositions. Proposition IV, Theorem 1st, in the first book of Euclid, says: — "Let ABC, DEF, be two triangles, which have the two...EDF : the base BC shall be equal to the base EF." That the base BC is equal to the base EF, is evidently admitted by the premises, which affirm that...
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