 | Euclides - 1821 - 294 sider
...formed of which 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 sider
...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 - 516 sider
...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 sider
...part, can be parallel to AB, and DC is consequently parallel to A BQED Cor. 1. Equal parallelograms, on the same base, and on the same side of it, are between the same parallele, Cor. 2. Equal triangles, or equal parallelograms on equal bases, in the same straight line... | |
 | Euclid, Dionysius Lardner - 1828 - 542 sider
...area of the triangle into as 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 sider
...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 sider
...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 sider
...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 sider
...angles (I. def. 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... | |
 | Dionysius Lardner - 1838 - 382 sider
...division will divide the area of the triangle into as many equal parts. PROPOSITION XXXIX. THEOREM. (172) Equal triangles (BAC and BDC) on the same base and...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... | |
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DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. 
