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 Books Books If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle. Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 50
by Euclides - 1874 ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...parallelogram and a triangle be upon the fame bafe, and between the fame parallels ; the parallelogram fhall be double of the triangle. Let the parallelogram ABCD and the triangle EBC be upon the fame bafe BC, and between the fame parallels BC, AE ; the parallelogram ABCD is double of the triangle... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...equal triangles, &c. Q, ED PROP. XLI. THEOR. IF a parallelogram and a triangle be upon the same \V base, and between the same parallels, the parallelogram...and the triangle EBC be upon the same base BC, and between the same parallels BC, AE ; the parallelogram ABCD is double of the triangle EEC. Join AC ;... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...parallel to BF. Wherefore, equal triangles, &c. QED a 31. I PROP. XLI. THEOR. y, IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogram shall be double of the triangle. Book I. Let the parallelogram ABCD and the triangle EBC be upon v—... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...to BF. Wherefore, equal triangles, &c. QED a 31. 1. b38.I. PROP. XLI. THEOR. IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelo, gram shall be double of the triangle. Book I. Let the parallelogram ABCD and the triangle... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...therefore parallel to BF. Wherefore equal triangles, &c. QED PROP. XLI. THEOR. IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogram shall be double of the triangle. .•BouK I. Let the parallelogram ABCD and the triangle EBC be. '*—... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...it but AD ; AD is therefore parallel to BF. Wherefore equal triangles., tc. Gi. ED PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same...Let the parallelogram ABCD and the triangle EBC be upoa the same base BC, and between the same parallels BC, AE ; the parallelogram ABCD A. DE is double... ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...it but AD ; AD is therefore parallel to BF. Wherefore eqaal triangles, tc. Q, ED PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same...triangle. Let the parallelogram ABCD and the triangle EEC be upon the iiime base BC, and between^he same parallels BC,AE; the parallelogram ABCD &_ DE is... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...parallelogram and triangle be upon the same base, and between the same. parallels; the parallelogram shall be double of the triangle. , Let the parallelogram ABCD...and the triangle EBC be upon the same base BC, and between the same parallels BC, AE; the parallelogram ABCD is double of the triangle EBC. Join AC; then... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...parallel to BF. Wherefore equal triangles, &c. QED .Proposition XL/. Theorem. If a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogiam shall be double of the triangle, j; | Let the parallelogram ABCD and the triangle EBC... 