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" 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. "
Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone - Page 27
by Euclid - 1728
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1723 - 364 pages
...two Triangles MDF, HAC, have two Angles of the one equal to two Angles Of the other, each to each, and one Side of the one equal to one Side of the other, viz. that which is fubtended by one of the equal Angles ; that * is, the Side HA equal to DM ; and...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 397 pages
...FLC, are two Triangles, having two Angles of the one equal to two Angles of the other, *ach to each, and one Side of the one equal to one Side of the otherj viz. the common Side FC j wherefore they fhall have t the other Sides of the one equal f 6....
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...in 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...the 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...the 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...
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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...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

Mathematics - 1835
...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...
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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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...the 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 EA b, found by the plane construction, is equal to the inclination...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...rectangle. 35. The square is greater than any oblong inscribed in the same circle. 36. If two triangles have one side of the one equal to one side of the other, and the angles opposite these sides equal, the circumscribing circles are equal. 37. If a quadrilateral...
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