Books Books If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 229
by John Keill - 1723 - 364 pages ## Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone

Euclid - 1728 - 236 pages
...ED PROP. XXVI. If -two "Triangles (BAC, bac) have two Angles B, C, equal to two Angles (b, acb) and one Side of the one equal to one Side of the other, either that Side С Ъ which lies between the equal Anglei, or that which is fubtended by one of the... ## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...to the remaining Angle ED F. If, therefore, two Triangles have two jfngles equal, each to each, and one Side of the one equal to one Side of the other, either the Side lying between the equal Angles, or which fubtends one of thf equal Angles ; the remaining... ## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...the twoTi iangles FHC, FKC, fhall have two Angles of the one equal to two Angles of the other, and one Side of the one equal to one Side of the other, viz. the SideF C common to each of them : •f 26. i. And fo the other Sides of the one will be f equal to,... ## Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...the solid figure; consequently the right-angled triangles AOb, AOB, have their hypothenuses equal and one side of the one equal to one side of the other ; they are therefore equal, and the angle EM, found by the plane construction, is equal to the inclination... ## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...solid figure ; consequently the right-angled triangles AO b, AOB, have their hypothenuses equal and one side of the one equal to one side of the other; they arc therefore equal, and the angle EAb, found by the plane construction, is equal to the inclination... ## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...solid figure ; consequently the right-angled triangles AO b, AOB, have their hypothenuses equal and one side of the one equal to one side of the other; they are therefore equal, and the angle EAb, found by the plane construction, is equal to the inclination... ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...likewise, are their solid angles. First, let the bases of the pyramids be equal triangles, which have one side of the one equal to one side of the other, and let the equal sides be made to coincide, so that the triangles AB С, Е В С (in the figure of... ## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...likewise, are their solid angles. First, let the bases of the pyramids be equal triangles, which have one side of the one equal to one side of the other, and let the equal sides be made to coincide, so that the triangles ABG, E 13 С (in (lie figure of... ## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 246 pages
...angles are all right angles. M. — When are two squares equal to each other ? P. — When they have one side of the one equal to one side of the other — or, when their bases are equal. lfcd = gh, the square abdc shall be equal to the square efhg. Join... 