| Euclides - 1821 - عدد الصفحات: 294
...the given triangles as halves they are .-. equal, PROP. 39, THEOR. Equal triangles on the same base and on the same side of it are between the same parallels, For if they are not, draw through the vertex of one of them a line par. to the base, it cuts a side... | |
| Euclid - 1822 - عدد الصفحات: 222
...therefore equal(4). (' " . PROP. XXXIX. THEOR. Equal triangles (BAC and BDC) on the same base Fig-ss. and on the same side of it are between the same parallels. For if the right line AD which joins the vertices of the triangles be not parallel to BC, draw through... | |
| Rev. John Allen - 1822 - عدد الصفحات: 516
...1], are also equal [Ax. 7]. PROP. XXXIX. THEOR. Equal triangles (ABC, DBC), on the same base (BC), and on the same side of it, are between the same parallels. Join AD, which is parallel to BC ; for, if not, through A, draw AE parallel to BC[31. 1], meeting either... | |
| Edward Riddle - 1824 - عدد الصفحات: 572
...parallele, Cor. 2. Equal triangles, or equal parallelograms on equal bases, in the same straight line and on the same side of it are between the same parallels. THEOREM XXXVII. If any two parallelograms, AC, EG, have two sides AB, AD, and the contained angle BAD... | |
| Euclid, Dionysius Lardner - 1828 - عدد الصفحات: 542
...many equal parts. PROPOSITION XXXIX. THEOREM. (172) Equal triangles (BAG and BDC) on the same base and on the same side of it are between the same parallels. For if the right line AD which joins the vertices of the triangles be not parallel to BC, draw through... | |
| Thomas Perronet Thompson - 1833 - عدد الصفحات: 168
...PROPOSITION XL. See Note. THEOREM. — Equal triangles, upon equal bases in ihe same straight line, and on the same side of it, are between the same parallels. Let the triangles ABC, EFD, which are upon equal bases BC and EF in the same straight line BF, and... | |
| Euclid, James Thomson - 1837 - عدد الصفحات: 410
...38.) supplemental, the triangles are equal. PROB. XXXIX. THEOR.* EQUAL triangles upon the same base, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be on the same base BC, and on the same side of it ; they are between... | |
| Euclides - 1840 - عدد الصفحات: 82
...between the same parallels. PROP. XL. THEOR. Equal triangles on equal bases, in the same right line, and on the same side of it, are between the same parallels. PROP. XLI. THEOR. If a parallelogram and a triangle are upon the same base and between the same parallels,... | |
| Euclides - 1840 - عدد الصفحات: 192
...to AB. PROP. XL. THEOR. Equal triangles (ACB, DFE) on equal bases (AB, DE), in the same right line, and on the same side of it, are between the same parallels. For if it be supposed that CF joining the vertices of the equal triangles is not parallel to AE, but... | |
| Euclides - 1841 - عدد الصفحات: 378
...equal to the triangle CDE: and they are on the same base DE; but equal triangles on the same base, and on the same side of it, are between the same parallels ;* * 39. i therefore DE is parallel to BC. Wherefore, if a straight line, &c. QED PROP. III. THEOR.... | |
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