| Robert Simson - Trigonometry - 1762 - 466 pages
...parallelograms, &c. Q^ED PROP. XXXVII. THEOR. HPRi ANGLEs upo'n the fame bafe, and between the fame **parallels, are equal to one another. Let the triangles ABC, DBC be upon the** fairie bafe BC and between the fame parallels AD; BC . the triangle ABC is equal to the triangle DBC.... | |
| Geography - 1867
...to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the **same base and between the same parallels are equal to one another,** and that triangles on equal bases and between the same parallels are also equal to one another. Now... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...EFGH. Wherefore parallelograms, &c. Q^ED PROP. XXXVII. THEOR.. upon the fame bafe, and between the fame **parallels, are equal' to one another. Let the triangles ABC, DBC be upon the** fame bafe BC and between the fame parallels -rx A Tl AD, BC: The triangle ABC *i. AA* is equal to the... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...PROP. B BooK I. PROP. XXXVII. THEOR. See M. rripviANGLES upon the fame bafe, and between the JL fame **parallels, are equal to one another. Let the triangles ABC, DBC be upon the** fame bafe BC, and between the fame parallels AD, BC : The triangle ABC is equal to the triangle DBC.... | |
| Robert Simson - Trigonometry - 1804
...parallelograms, &c. Q^ED »• 34. T PROP. XXXVII. THEOR. RIANGLES upon the fame bafe, and between the fame **parallels, are equal to one another, Let the triangles ABC, DBC be upon the** fame bafe BC and between the fame parallelspi A Tl Ti* AD, BC. the triangle ABC iaF4 A AJ -C equal... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...parallelograms, &.c. QK ED PROP. XXXVII. THE OR. TRIANGLES upon the fame bafe, and between the fame **parallels, are equal to one another. Let the triangles ABC, DBC be upon the** fame bafe BC, and between the fame pa- T, A Ti T" rallels AD, BC : The - ! triangle ABC, is equal to... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...divides the paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS **upon the same base, and between the same parallels, are equal to one another.** Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between the same parallels... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...the parallelogram ACDB intq two equal parts. Therefore, &c. QED j / PROP. XXXV. THEOR. PARALLELOGRAMS **upon the same base, and between the same parallels, are equal to one another.** gures. Seethe 2d Let the parallelograms ABCD, EBCF be upon the same and 3d fi- base BC, and between... | |
| Euclid - Geometry - 1810 - 518 pages
...same EBCH : therefore also the parallelogram ABCD is equal to EFGH. Wherefore, parallelograms, &c. QED **PROP. XXXVII. THEOR. TRIANGLES upon the same base,...the triangles ABC, DBC be upon the same base BC, and** ketween the same parallels p » , AD, BC : the triangle ABC B equal to the triangle DBC. Produce AD... | |
| John Mason Good - 1813
...diameter bisects them, that is, divides them in two equal parts. Prop. XXXV. Theor. Parallelograms **upon the same base and between the same parallels, are equal to one another.** Prop. XXXVI. Theor. Parallelograms upon equal basis, and between the same parallels, are equal to one... | |
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