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Boeken Boek 71 - 80 van 194 over If two triangles have two angles of the one equal to two angles of the other, each....
" 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... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 1
door Woolwich roy. military acad - 1884
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...bisected by BD), and that the right angle DEB is equal to the right angle DFB, the two triangles DEB, DFB have two angles of the one equal to two angles of the other, each to each, and the side DB, which is opposite to one of the equal angles in each, common to both — therefore their...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...angle F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, 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(26. 1.),and the side KM is equal to...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...sides &e. — QED This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — If two triangles have two angles of the one equal...other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each,...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): 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 they have their other...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 pagina’s
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. 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 to equal angles in each ;...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 pagina’s
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,...
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Papers for the schoolmaster, Volume 3

...lines which can be drawn to the four angles from any point, except the intersection of the diagonals. 3. If two triangles have two angles of the one equal to two angles of the otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,...
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Papers for the schoolmaster, Volumes 1-6

...opposite sides of parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles have two angles of the one equal to two angles of the ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each...
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