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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Side 111
av John Keill - 1733 - 397 sider
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 sider
...equal to the. remaining Angle EDF. If, therefore, two Triangles have two Angles 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 the equal Angles $ the remaining...
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Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone

Euclid - 1728
...Hypothefis. Q 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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 sider
...Angle FHC equal to the Right Angle FK C"; the two Triangles FHC, FKC, fhall have two Angles of the one equal to two Angles of the other, and one Side of...the other, viz. the Side FC common to each of them : f 26. i. And fo the other Sides of the one will be f equal to the other Sides of the other, and the...
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Elements of Geometry

Adrien Marie Legendre - 1819 - 208 sider
...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...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 sider
...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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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 sider
...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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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...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 ...

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 - 1837 - 215 sider
...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 - 1841 - 235 sider
...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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