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" If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. "
The First Six Books of the Elements of Euclid, with a Commentary and ... - Σελίδα 174
των Euclid, Dionysius Lardner - 1828 - 324 σελίδες
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A New System of Mathematics: Containing Plane Geometry; General ...

John Muller - 1769 - 92 σελίδες
...right angles, as being equal to the angles BCA, BCD, which are equal to two right angles, by Art. i. 6. If two angles of one triangle are equal to two angles of another, the third of the one, will alfo be equal to the third of the other, as they make up two right angles. B 3 7....

A Compendious Course of Practical Mathematics: Particularly Adapted to the ...

Paul Hoste - 1769
...angles. 2. When therefore atrianglehasone angle right, Or obtufe, both the other angles muft be acute. 3. If two angles of one triangle are equal to two angles of another triangle, their third angles are alfo equal. . PRoP. XVIII. If the fide AB of the triangle ABC is fhorter...

New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry ...

John Muller - 1773 - 130 σελίδες
...angles, as being equal to the angles BCA, BCD, which are equal to two right angles, by Art. i . 6. If two angles of one triangle are equal to two angles of another, the third of the one, will alfo be equal to the third of the other, as they make up two right angles. B 3 7....

The Edinburgh Review: Or Critical Journal, Τόμος 15

1810
...entirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, when two angles of one triangle are equal to two angles of another, that the third angks are also equal, whatever may be the inequality of the bases, or of the triangles...

Elements of Geometry

Adrien Marie Legendre - 1819 - 208 σελίδες
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary n. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the two triangles...

Biographical account of Matthew Stewart. Biographical account of James ...

John Playfair - 1822 - 8 σελίδες
...tirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, whe.n two angles of one triangle are equal to two angles of another, that the third angles are also equal, whatever may be the inequality of the basis, or of the triangles...

Works, with a memoir of the author, Τόμος 4

John Playfait - 1822
...tirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, when two angles of one triangle are equal to two angles of another, that the third angles are also equal, whatever may be the inequality of the basis, or of the triangles...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary n. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the two triangles...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary 11. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the two triangles...

Elements of Geometry: With Notes

John Radford Young - 1827 - 208 σελίδες
...would follow that p is equal to a number, which is absurd : hence, p cannot enter into the function <p, and we have simply C = 0 : (A, B). This formula already...angle of the former must also be equal to the third angle of the latter ; and this granted, it is easy to arrive at the theorem we have in view. First,...




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