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BFE : (i. def. 10.) therefore, in the two triangles, EAF, EBF, there are two angles in the one equal to two angles in the other, each to each ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore the other...
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Page 90
by Euclides - 1840

## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...is equal to the right angle BFE : (i. def. 10.) therefore, in the two triangles, EAF, EBF, there are two angles in the one equal to two angles in the other, each to each ; and the side EF, which is opposite to one of the equal angles in each, is common to...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...AC and BD is equal to the sum of the squares of AB, BC, CD, DA. ECB (29. 1.), the triangles ADE, CEB have two angles in the one equal to two angles in the other, each to each j but the sides AD and BC, which are opposite to equal angles in these triangles, are...

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...right angle AFE is equal to the right angle BFE ; therefore in the two triangles EAF, EBF, there are two angles in the . one equal to two angles in the other, each to each, and the side EF, which is opposite to one of the equal angles in each, is common to both...

## Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...the angle ABC to the angle BCD, and the angle ACB to the angle CBD. Hence the two triangles, having two angles in the one equal to two angles in the other, have also their third angles equal (cor. 1, th. 15), namely, the angle A equal to the angle D, which...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...BE to EC. are equal (Prop. XXIII.), and also the alternate angles EAB, EDC, the triangles ABE, DCE have two angles in the one equal to two angles in the other, each to each, and the included sides AB, CD are also equal; hence the remaining sides are equal, viz.:...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...equal (Th. xii) : that is the angle ADB-DBC and BDC=ABD. Hence, the two triangles ADB, BDC, having two angles in the one equal to two angles in the other, will have their third angles equal (Th. xvii. Cor. 1), viz. the angle A equal to the angle C, and these...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...(Th. xii) : that is the angle AD B— DBG and BDC—ABD. Hence, the two triangles ADB, BDC, having two angles in the one equal to two angles in the other, will have their third angles equal (Th. xvii. Cor. 1), viz. the angle A equal to the angle C, and these...

## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...will be equal (Th- xii) : that is the angle ADB=DBC and BDC=ABDHence the two triangles ADB BDC, having two angles in the one equal to two angles in the other, will have their third angles equal (Th- xvii- Cor- 1), viz- the angle A equal to the angle C, and these...