| 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.... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| |