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If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 23
των Euclides - 1874
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## Manual

1903 - 898 σελίδες
...exactly half way between A and B. Find the distance from A to B. GEOMETRY. Time: two hours. 1. Show that if two triangles have two angles of the one equal to two angles of the other, each to each, and any side of the first equal to the corresponding side of the other, then the triangles are equal in...

## Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...together less than two right angles. COR. 4. Every triangle has at least two of its angles acute. COR. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angles are also equal. COR. 6. The sum of the angles of a quadrilateral is equal to...

## The School World: A Monthly Magazine of Educational Work and Progress, Τόμος 5

1903 - 692 σελίδες
...each to each, and also the angles contained by 'hole sides equal, the triangles are congruent. Utwo triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to '••« corresponding side of the other, the triangles are congruent....

## A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 488 σελίδες
...to two right angles. I. 13. From this Proposition we draw the following important inferences. 1 . // two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. 2. In any right-angled triangle...

## Plane and Solid Geometry

George Albert Wentworth - 1904 - 496 σελίδες
...a triangle is taken from two right angles, the remainder is equal to the third angle. 132. COR. 3.. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. "<rwab* •**• <'• Vj 82 TRIANGLES. S3 133. COR. 4. If two right triangles...

## Graded Lessons in Arithmetic, Βιβλίο 8

Wilbur Fisk Nichols - 1905 - 208 σελίδες
...acute angles of a right triangle are angles. 6. Each angle of an equilateral triangle must be . 7. If two triangles have two angles of the one equal to two angles of the other, the third angles are . 8. If two right triangles have one acute angle of one equal to an acute angle...

## School Science and Mathematics, Τόμος 7

1879 - 928 σελίδες
...topic lie selected as basic principles the following theorems : "Two triangles are similar if they have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including...

## School Science and Mathematics, Τόμος 7

1907 - 880 σελίδες
...this topic be selected as basic principles the following theorems: "Two triangles are similar If they have two angles of the one equal to two angles of the other; Two triangles are similar if they have nn angle of the one equal to an angle of the other and the including...

## Plane Geometry

Edward Rutledge Robbins - 1906 - 268 σελίδες
...equal to an acute angle of the other, the remaining acute angles are equal. (See 114 and 48.) 117. THEOREM. If two triangles have two angles of the one equal to two angles of the other, the third angle of the first is equal to the third angle of the second. (See 110 and Ax. 2.) 118. THEOREM....

## Calendar of the University of Sydney

University of Sydney - 1906 - 738 σελίδες
...HALF. PAPER A. — (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one side equal, etc. Complete this enunciation and prove the theorem. If the diagonal...