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 Llibres Llibres DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Pàgina 20
per Euclides - 1821
Visualització completa - Sobre aquest llibre ## The First Six Books with Notes

Euclid - 1822 - 179 pàgines
...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...
Visualització completa - Sobre aquest llibre ## Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 pàgines
...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...
Visualització completa - Sobre aquest llibre ## A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 pàgines
...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...
Visualització completa - Sobre aquest llibre ## The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 pàgines
...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...
Visualització completa - Sobre aquest llibre ## Dialogues on the First Principles of the Newtonian System, Volum 4

Walter Henry Burton - 1828 - 68 pàgines
...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...
Visualització completa - Sobre aquest llibre ## The first six books of the Elements of Euclid: with notes

Euclid, Thomas Elrington - 1833 - 183 pàgines
...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...
Visualització completa - Sobre aquest llibre ## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 pàgines
...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...
Visualització completa - Sobre aquest llibre ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 pàgines
...a point in which the circumferences meet, the circles must touch one another in that point. IF two triangles on the same base, and on the same side of it, have equal vertical angles, the vertex of each is in the circumference of the circle described about...
Visualització completa - Sobre aquest llibre ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...equal bases and between the same parallels, are equal. BDE PROP. XXXIX. THEOR. Equal triangles upon the same base and on the same side of it, are between the same parallels. PROP. XL. THEOR. Equal triangles on equal bases, in the same right line, and on the same side of it,...
Visualització completa - Sobre aquest llibre ## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...therefore be also greater than Z. BDC, of which however it is but a part ; which is absurd. Therefore, two triangles on the same base, and on the same side of it, cannot have their conterminous sides equal at both extremities of the base, when the vertex of the...
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