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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. either the sides adjacent to the equal... "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Σελίδα 286
των Peter Nicholson - 1825 - 372 σελίδες
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 σελίδες
...symmetrically equal. Cor. On the same sphere, or on equal spheres, triangles having two angles of the one equal to two angles of the other, each to each, and the included sides equal, have their remaining sides and angles equal. For, if |_^ = LA LB =[_•#, and...

The Edinburgh university calendar

Edinburgh univ - 1868 - 336 σελίδες
...of ^355, 15s. for four years, at 4 per cent. per annum. 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 (viz. , the sides adjacent to the equal angles) ; then shall the other sides...

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

Robert Potts - 1868 - 434 σελίδες
...C is greater than the angle EDF. PROPOSITION XXVI. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one tide equal to one side, viz, either the sides adja cent to the equal angles in each, or the sides...

Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...which you would keep a field in levelling for sections. EUCLID. I. Specimen Paper. 1. If two triangles have two angles of one equal to two angles of the other, each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 σελίδες
...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 inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.) ;...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...QED a.* 8 NOTE XVI. Euclid's Proof of Prop. XXVI. of Book I. 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, or the sides opposite...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...called the Vertex of the triangle. PKOPOSITION B. THEOREM. If two triangles have ttco angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all respects....

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...that it was not equal to it ; therefore the angle BAC is greater than EDF. XXVI. — If two'triangles have two angles of 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, or the sides opposite...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 σελίδες
...equal (I. lit) to the angle BE H. Therefore the two triangles AEG and It EH have two angles of the o^e equal to two angles of the other, each to each, and the sides AE and EB, adjacent to the equal angles, equal to one another. Wherefore their other sides are equal (I....

Guide to preliminary army examination

John Gibson - 1881 - 302 σελίδες
...right angles, or are together equal to two right angles. 3. 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, vis., sides tchicA are opposite to equal angles in each ; then shall the...




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