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" If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 26
av Euclides - 1853
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...angle EBC: and the angle AEG is •15.1. equal* to the angle BEH: therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: • 26. 1. wherefore they have...
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The Complete Mathematical and General Navigation Tables: Including ..., Volum 1

Thomas Kerigan - 1828 - 664 sider
...opposite angle CBF, — Euclid, Book I., Prop. 29. And, since the two triangles AFD and FBC have, thus, two angles of the one equal to two angles of the other, viz., the angle AFD to the angle FBC, and the angle FAD to the angle BFC, and the side AF of the one...
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ELEMENTS OF GEOMETRY UPON THE INDUCTIVE METHOD.

JAMES HAYWARD - 1829
...mO' and M'N'O' are equal. The angle N'O'M' is common to the two triangles nmO' and N'M'O'; and having two angles of the one equal to two angles of the other, the other angles must be equal, that is, the angle O'M'N' is equal to the angle O' nm ; and this intersection...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. If two triangles have two angles of the one equal to two angles of the other, their third angles will likewise be equal to one another. Cor. 2. (Eue. i. 2G, second part of.) Hence,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. I/ two triangles have two angles of the one equal to two angles of the other, each to each; undone side equal lo one side, viz. either the sides adjacent to the equa tangles, or the sides opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of...; and one side equal to one side, viz. either the side adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - 1833 - 352 sider
...it. It is a truth, for example, but not a self-evident one, that if one draw two triangles, having two angles of the one equal to two angles of the other,...each ; and one side equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite to the equal angles in each; then...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 sider
...be proved in all other triangles under the same conditions. Wherefore, universally, if two triangles have two angles of the one, equal to two angles of the other respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...and the right angle FHC equal to the right angle FKC, therefore in the triangles FHC, FKC there are two angles of the one, equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to both ; there• 26....
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...the angles А С D, ACB, that is, to two right angles (2.). Therefore, &c. Cor. 1. If two triangles have two angles of the one equal to two angles of the other, their third angles will likewise be equal to one another. Cor. 1. (Eue. i. 26, second part of.) Hence,...
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