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" Then, because the three angles of every triangle are together equal to two right angles, [I. "
Dialogues on the First Principles of the Newtonian System - Σελίδα 6
των Walter Henry Burton - 1828 - 68 σελίδες
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 484 σελίδες
...any two Angles of a Triangle are lefs than two Right Angles, having full Demonftration (in the 32nd) that, the three Angles of every Triangle are, together, equal to two Right ones; confequently it is of no ufe at all. In the i8th of this, is contained the 35, 36, 37 and 381!l...

Observations on the Nature and Tendency of the Doctrine of Mr. Hume ...

Thomas Brown - 1806 - 232 σελίδες
...that I can enunciate a general proposition, the conception of which is impossible, I can be certain, that the three angles of every triangle are together equal to two right angles, only when it has been demonstrated of triangles, of every variety of figure ; and, before this can...

The Edinburgh Review: Or Critical Journal, Τόμος 20

1812 - 532 σελίδες
...found in the doctrine of parallel lines, the avenue by which it is usual to pass to the demonstration that the three angles of every triangle are, together, equal to two right angles. It is easy to prove, if two straight lines make the alternate angles with a third line equal to one...

Lectures on the Philosophy of the Human Mind, Τόμος 2

Thomas Brown - 1822 - 546 σελίδες
...that I can enunciate a general proposition, the conception of which is impossible, I can be certain that the three angles of every triangle are together equal to two right angles, only when it has been demonstrated of triangles of every variety of figure ; and, before this can be...

Lectures on the Philosophy of the Human Mind, Τόμος 1

Thomas Brown - 1826 - 548 σελίδες
...proposition, the concep * Berkeley'! Works, Lond. 1784, vip 13. tion of which is impossible, I can be certain that the three angles of every triangle are together equal to two right angles, only when it has been demonstrated of triangles of every variety of figure ; and, before this can be...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...triangle be produced, the exterior angle shall be equal to the two interior and opposite angles ; and the three angles of every triangle are together equal to two right angles. Let the side В С of the Л TS triangle А В С be produced to D : the exterior angle А С D shall...

Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 242 σελίδες
...side, and the three angles are all unequal. § 1. OF THE ANGLES AND SIDES OF A TRIANGLE. THEOREM I. 31. The three angles of every triangle are together equal to two right angles. In the triangle ABС, the three angles A, B, B С A, are together equal to two right angles. Produce...

Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 338 σελίδες
...employed when two sides and the included angle of a triangle are given to find the other parts. Since the three angles of every triangle are together equal to two right angles or 180°, subtracting the given included angle from 180°, the remainder is the sum of the two angles...

Theory of Parallels: The Proof of Euclid's Axiom Looked for in the ...

Thomas Perronet Thompson - 1840 - 25 σελίδες
...being demonstrated independently of the doctrine of parallels. 1. It can be demonstrated, that whether the three angles of every triangle are together equal to two right angles or not ; if the sides of any triangle are diminished without limit assigned, two of the angles continuing...

The Practical Miner's Guide: Comprising a Set of Trigonometrical Tables ...

John Budge - 1845 - 248 σελίδες
...which the figure is supposed to stand is called the BASE, and the remaining side the PERPENDICULAR." The three angles of every triangle are together equal to two right angles, or 18Q degrees. The greater side of every triangle has the greater angle opposite to it. The squares...




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