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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Σελίδα 66
των John Keill - 1733 - 397 σελίδες
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...demonstration of the following propositions. PROP. 26.— THEOR. — (Important.) 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 angles in...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 σελίδες
...is parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are...

The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 σελίδες
...angle in each, contained by proportional sides, are similar to each other. Any two triangles having two angles of the one equal to two angles of the other, are similar triangles, because the three angles of the one triangle are equal to the three angles of...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...of it, either arc two right angles, or are together equal to two right angles. 2. 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, namely, either the sides adjacent to the equal angles,...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...and the angles GMK and GMN are both right angles by construction; wherefore the triangles GMK and GMN have two angles of the one equal to two angles of the other, and they have also the side GM common ; therefore they are equal, and the side KM is equal to the side...

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 453 σελίδες
...the |_'s PFB and PEC, we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the one equal to two angles of the other, each to each, and the included sides equal; the remaining sides and angles are therefore equal, (Cor.,...

The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...angle EBC (b) : and the angle AEG is equal to the angle BEH (a) ; 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 ; wherefore...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...less than the other two sides of the triangle, but shall contain a greater angle. 5. 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, namely, the sides adjacent to equal angles in each triangle...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 angles in...

Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...sovereign and a shilling ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, namely, the sides which are opposite to equal angles in each, then shall...




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