 | Euclides - 1821 - 294 Seiten
...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... | |
 | Rev. John Allen - 1822 - 516 Seiten
...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 Seiten
...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 Seiten
...C. PROPOSITION XL. THEOREM. (173) Equal triangles (BAC and EDF) on equal bases and on the same side, are between the same parallels. For if the right line AD which joins the vertices of the two triangles be not parallel to BF, draw through ^ the point A the right line AG parallel to BF, /(~~~"... | |
 | Walter Henry Burton - 1828 - 84 Seiten
...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... | |
 | Euclid - 1833 - 216 Seiten
...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... | |
 | Thomas Perronet Thompson - 1833 - 168 Seiten
...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 - 410 Seiten
...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 - 192 Seiten
...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 that... | |
 | Euclides - 1840 - 82 Seiten
...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,... | |
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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. 
