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 Books Bücher TRIANGLES upon the same base, and between the same parallels, are equal to one another. Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 45
von Euclides - 1838
Vollansicht - Über dieses Buch The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 Seiten
...same EBCH; therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base,...the same base BC, and between the same parallels AD, E AD F BC : the triangle ABC is equal to the triangle DBC. Produce AD both ways to the points E, F,...
Vollansicht - Über dieses Buch Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 Seiten
...to each other. Therefore, parallelograms &c. QED ED. PROPOSITION XXXVII. THEOREM, Triangles on the same base, and between the same parallels, are equal to one another; that is, their surfaces are equal. Let the triangles ABC, DBC be on the same base BC, and between the...
Vollansicht - Über dieses Buch Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 Seiten
...a rectangle of the same base and altitude. PROP. 25. (Eue. i. 36.) Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let the parallelogramsABCD, E FGH, be upon equal bases BC, FG, and between the same parallels AH, BG. The parallelogram...
Vollansicht - Über dieses Buch Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 Seiten
...originally meant ' the line determined by a plummet.' PROPOSITION XXXV. THEOREM. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms AC, BF, be upon the. same base BC, and between the same parallels AF, BC. The parallelograms...
Vollansicht - Über dieses Buch The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...and between the same parallels, arc equal to one another. Let the triangles ABC, DBC be upon E AD K the same base BC, and between the same parallels AD, BC : the triangle ABC shall be equal to the triangle DBC. Produce t AD both ways to the points E, F ; and through B, draw * BE parallel...
Vollansicht - Über dieses Buch The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 Seiten
...EBCH: Therefore also the parallelogram ABCD is equal to EFGH. Wherefore, " pa" rallelograms," &c. QED PROP. XXXVII. THEOR. Triangles upon the same base,...parallels, are equal to one another. Let the triangles ABC, DEC be upon the same base BC, and between the same parallels AD, BC : The triangle ABC is equal to...
Vollansicht - Über dieses Buch Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...remains (ax. 3.) the complement AE equal to E C. Therefore, &c. PROP. 24. (Eue. i. 35.) Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, E В С F, be upon the same base BG and between the same parallels AF, В С ;...
Vollansicht - Über dieses Buch Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 Seiten
...EFGH is equal to the same EBCH: Therefore also the parallelogram ABCD is equal to EFGH. PROP. XXXI. THEOR. Triangles upon the same base, and between the same parallels, are equivalent to one another. Let the triangles ABC, DBC be upon the same base BC, and between the flame...
Vollansicht - Über dieses Buch Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 Seiten
...parallelogram ABCD is equal to EFGH. W||crefore, parallelograms, &c. QED XXXVII. THEOJl. Triangles ufon the same base, and between the same parallels, are equal...between the same parallels, AD, BC : The triangle ABC is equal to the triangle DBC. Produce AD both ways to the points E, F, and through B draw a 31, 1....
Vollansicht - Über dieses Buch The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...Parallelograms upon equal bases, and between the same parallels, are equal to one another. XXXVII. Triangles upon, the same base, and between the same parallels, are equal to one another. XXXVIII. Triangles upon equal bases, and between the same parallels, are equal to one another. XXXIX....
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