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" Parallelograms upon equal bases, and between the same parallels, are equal to one another. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Page 30
by Euclid, Thomas Tate - 1849 - 108 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...&c, Q..ED PROP. PROP. XXXVI. THEOR. T)ARALLEI.oGRAMs upon equal bafes and between the Sobk I. ± fame parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bafes BC, FG, and between the fame I parallels AH, BG ; the **• parallelogram ABCD is equal to EFGH....
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The Popular Educator, Volumes 1-2; Volume 12

Geography - 1867 - 964 pages
...any point in tho straight line HK, produced both ways indefinitely. Triangles also which stand npon equal bases and between the same parallels are equal to one another. Thus, the triangles LNG, M o F, which „ ._ stand on equal bases, NG, F o, and K between the same...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...another. LetABCD.EFGHbe » parallelograms upon e— £*• qual bafes BC, FG, and between the fame parallels AH, BG ; the parallelogram ABCD is equal to EFGH. Join BE, CH; and-r> becaufe BC is equal to-" FG, and FG to " EH, BC is equal to EH ; and they are pa- a 34- r. rallels,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...bale, &c. OED PROP. Book I. PROP. XXXVI. THEO R. LLELoGRAMR upon equal bafes.and between the £une parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon e qual bafes BC, FG, and between the fame parallel* AH, BG ; theparal. lelogram ABCD is equal to tFGH....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal to one another. Let ABCD, EFGH be parallelogiams upoii equal bafes BC, FG, aud between the fame parallels AH, BG ; the parallelogram ABCD is equal to EFGH. Join BE, CH ; and becaufe BC is equal to FG, and FG to a EH, BC is equal to EH ; nnd they are parallels, and joined a...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...bafe, &c. QJE. D. Book I. PROP. XXXVI. THEOR. |ARALLELooRAMS upon equal bafes and between the fame parallels, are equal to one another, Let ABCD, EFGH be parallelograms upon equal bafes BC, FG, and between the fame parallels AH, BG; the parallelogram ABCD is equal to EFGH. Join...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the fame bafe, &c. Q^ ED PROP. XXXVI. THEOR. PARALLELoGRAMS upon equal bafes, and between the fame parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bafes BC, FG, and between the fame parallels AH, BG ; the parallelogram ABCD is equal to EFGH. ^ Join...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...ABC is'equal to the triangle DBC. Wherefore, triangles, fee, QE D, PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...Ax. ABC is equald to the triangle DBC. Wherefore, triangles, &c. QED PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD ; the triangle...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...ABCD being a parallelogram, AB will be=CD and AD = BC, THEOREM XIII, All parallelograms on the same or equal bases and between the same parallels, are equal to one ' another, that is, if BD^GH, and the lines BH and AF parallel, then the parallel0gram ABDC ^BDFE=EFHG. .fig....
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