Books Books
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

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...equal : and the angle DTY is equal* 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 side equal to one side, opposite to two of the equal angles, viz. DY to GS; for they are the...

## Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...ILK, and LKM, equal; the diagonal being common to the two triangles ILK, and KLM, these two triangles have two angles in the one equal to two / angles in the other; for, the angles I, and M, have been proved :' equal, and the side LK, opposite to these angles, is...

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

John Playfair - Euclid's Elements - 1832 - 356 pages
...AED, CEB are equal (15. 1.), and also the alternate angles EAD, ECB (29. 1.), the triangles ADE, CEB have two angles in the one equal to two angles in the other, each to each; but the sides AD and BC, which are AD opposite to equal angles in these triangles, are...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...is equal to the right angle BFE : Therefore, in the two triangles, EAF, EBF, • 1.3. b8. there are two angles in the one equal to two angles in the other, Book HI. and the side EF, which is opposite to one of the equal angles v— •Y"™-' in each, is...

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

John Playfair - Euclid's Elements - 1836 - 488 pages
...angle AFE is d 5. 1. 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 ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore...

## Elements of Plane Geometry According to Euclid

Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...the sum of the squares of AC and BD is equal to the sum of the squares of AB, BC, CD, DA. CEB, hare two angles in the one equal to two angles in the other, each to each ; but the sides AD and BC, which are opposite to equal angles in these triangles, are...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...tUAi. angle AFE is equalf 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 *s6....

## A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...angle may be found by subtracting the sum of the two known angles from 180°. (57.) If two triangles have two angles in the one equal to two angles in the other, the remaining angles must be equal. (58.) A triangle cannot have more than one angle right or obtuse, and consequently...