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" ... angles of another, the third angles will also be equal, and the two triangles will be mutually equiangular. Cor. "
The New Practical Builder and Workman's Companion, Containing a Full Display ... - Page 28
by Peter Nicholson - 1823 - 596 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...angle must be nothing. Still less can a triangle have more than one obtuse angle. Cor. 4. In every right-angled triangle, the sum of the two acute angles is equal to one right angle. Cor. 5. Since every equilateral triangle (Prop. 12.) is also equiangular, eacb of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...third angle must be nothing. Still less can a triangle have more than one right angle. COR. 4. In every right-angled triangle, the sum of the two acute angles is equal to one right angle. COR. 5. Since every equilateral triangle (Cor. 3. 1.) is also equiangular, each of...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 pages
...angle must be nothing. Still less can a triangle have more than one obtuse angle. COR. 6. In every right-angled triangle, the sum of the two acute angles is equal to one right angle. COR. 7. Since every equilateral triangle (Cor. 5. 1.) is also equiangular, each of...
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A System of Crystallography, with Its Application to Mineralogy

John Joseph Griffin - Crystallography - 1841 - 489 pages
...triangle is $ of two right angles, or J of one right angle, and therefore contains 60.— j. In every right-angled triangle, the sum of the two acute angles is equal to one right angle, and therefore contains 90. — / , In every isosceles right-angled triangle, each...
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A System of Crystallography, with Its Application to Mineralogy

John Joseph Griffin - Crystallography - 1841 - 489 pages
...triangle is $ of two right angles, or of one right angle, and therefore contains 60.— -j, In every right-angled triangle, the sum of the two acute angles is equal to one right angle, and therefore contains 90. — t, In every isosceles right-angled triangle, each...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...angle must be nothing. Still less can a triangle have more than one obtuse angle. COR. 6. In every right-angled triangle, the sum of the two acute angles is equal to one right angle. COR. 7. Since every equilateral triangle (Cor. 5. 1.) is also equiangular, each of...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...third angles will also be equal, and the two triangles will be mutually equiangular. Cor. 4. In every right-angled triangle, the sum of the two acute angles is equal to one right-angle. Cor. 5. Since every equilateral triangle, is also equiangular, (Prop. 11. Cor.,) each...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...be but one right angle ; for if there could be two, the third angle would be nothing. Cor. 4. In a right-angled triangle the sum of the two acute angles is equal to one right angle. PROP. XIII. THEOREM. In any polygon, the sum of all the angles is equal to as many...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...angle must be nothing. Still less can a triangle have more than one obtuse angle. COR. 6. In every right-angled triangle, the sum of the two acute angles is equal to one right angle. COR. 7. Since every equilateral triangle (Cor. 5. 1.) is also equiangular, each of...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...third angle would be nothing. Still less can a triangle have more than one obtuse angle. Cor. 4. In a right-angled triangle, the sum of the two acute angles is equal to one right angle. Cor. 5. In an equilateral triangle, each of the angles is one third of two right angles,...
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