| Euclides - 1821 - 294 páginas
...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 of the... | |
| Euclid - 1822 - 222 páginas
...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 the... | |
| Rev. John Allen - 1822 - 508 páginas
...base, the angles adjacent to it are equal, and therefore the sides opposite to them. PROP. VII. THEOR. **Upon the same base (AB), and on the same side of it,** there cannot be two triangles (ACB, ADB), whose conterminous sides are equal, (namely AC to AD, and... | |
| Rev. John Allen - 1822 - 516 páginas
...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 - 572 páginas
...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 - 542 páginas
...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 the... | |
| Walter Henry Burton - 1828 - 84 páginas
...equal triangles Prop. xii. upon the same base (or upon equal bases in the same straight line) and upon **the same side of it, are between the same parallels. For if** the straight line which joins the vertices of the two triangles be not parallel to the base, some other... | |
| Thomas Perronet Thompson - 1833 - 168 páginas
...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 - 1833 - 216 páginas
...therefore _ * equal (4). PROP. XXXIX. THEOR. Equal triangles (BAC and BDC), on the same base Fig. 58. **and on the same side of it, are between the same parallels.** If the right line AD, which joins the vertices of the triangles, be not parallel to BC, draw through... | |
| Euclid, James Thomson - 1837 - 410 páginas
...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... | |
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