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" EBF, there are two angles in the one equal to two angles in the other, each to each ; and the... "
A Course of Mathematics: For the Use of Academies, as Well as Private ... - Σελίδα 291
των Charles Hutton - 1822
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...the angle f. if. i. DTY is equal f to the angle GTS. therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, aid one fide equal to one fide, oppolite to two of the equal angles-, viz. DY to GS ; for they are...

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...and the angle l)TY is equal f to the angle G PS : Therefore in the triangles D l"Y, GTS tlv;re are two angles in the one equal to two angles in the other, and one lide equal to one fide, oppofite to two of the equal angles, viz.. DY to GS ; for they are...

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...equal c ; and the angle DTY is equal t to the angle GTS : Therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, and one fide equal to one^fide, oppofite to two of the equal angles, viz. DY to GSj for they arc the...

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...angles AED, CEB are equal a, and alfo the alternate angles EAD, ECB b, the triangles ADE, CEB have two angles in the one equal to two angles in the other, each to each : but the fides AD arid BC, which are opppfite tp equal angles in thefe trier 34. i. angles,...

The economy of nature explained and illustrated on the principles ..., Τόμος 1

George Gregory - 1796 - 46 σελίδες
...equal to GDC, QpM is equal to GDB but GDB is equal to MDq; in the two triangles QJD M, MD q, there are two angles in the one equal to two angles in the other, and one fide MD common to both, therefore QJM will be equal to My. The fame may be proved alfo of the...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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...equal c ; and the angle DTY is equal f to the angle GTS. therefore in the triangles DTY, GTS there are two angles in the one equal to two angles in the other, and one fide equal to one fide, oppofite to two of the equal angles, viz. DY to GS; for they are the...

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Charles Hutton - 1811
...parts, or triangles. AB For, since the sides AB and DC are parallel, as also the sides AD and Be (defin. 32), and the line BD meets them ; therefore the alternate...triangles, having two angles in the one equal to two anglei in the other, have also their third angles equal (cor. 1, th. 11), namely, the angle A equal...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...-j. For, since the sides AB and DC are pa- .»• rallcl, as also the sides AD and BC (defin. 3a), and the line BD meets them ; therefore the alternate...the other, have also their third angles equal (cor. l,th. 17), namely, the angle A equal to the angle c, which are two of the opposite angles of the parallelogram....

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...parts, or triangles. For, since the sides AB and DC are parallel, as also the sides AD and BC (defin. 32), and the line BD meets them ; therefore the alternate...equal (th 12), namely, the angle ABD to the angle a DB, and the angle AUDIO the angle CBD. Hence the two triangles, having two angles in the one equal...

A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...parts, or triangles. For, since the sides AB and nc are parallel, as also the sides AD and BC (delin. 32), and the line BD meets them ; therefore the alternate angles are equal (th. 12j, namely, the angle ABD to the angle CDB, and the angle ADB to the angle CUD. Hence the two triangles,...




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