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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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 27
των John Playfair - 1795 - 400 σελίδες
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 355 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
...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 - 456 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 - 473 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
...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
...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
...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 and Solid Geometry

Isaac Newton Failor - 1906 - 418 σελίδες
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...

PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...obtuse angle. 155 COROLLARY 2. The acute angles of a right triangle are complementary. 156 COROLLARY 3. If two triangles have two angles of the one equal to 'two angles of the other, the third angles are equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION...

Plane Geometry

Edward Rutledge Robbins - 1906 - 254 σελίδες
...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....




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