| Pupil teachers - 1880 - 1494 pages
...Proof.@Because the triangle ABD is equilateral, therefore the triangle ABD is equiangular (i. 5, Cor.) the three angles of a triangle are together equal to two right angles (i. 32), therefore the angle ABD is equal to a third of two right angles, that is, two-thirds of a... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...equilateral ; therefore the three angles EGD, GDE, DEG are equal to one another. [I. 5. Corollary. But the three angles of a triangle are together equal to two right angles; [I. 32. therefore the angle EGD is the third part of two right [Axiom 1. In the samp manner it may... | |
| Walter Percy Workman - 1880 - 248 pages
...the angle BFA is equal to the difference between two right angles and twice the angle ACB ; because the three angles of a triangle are together equal to two right angles. [i. 32. By precisely similar reasoning it may be shown that AEC is equal to the difference between... | |
| M. M. Kalisch - 1880 - 682 pages
...Spinoza's geometrical conception of the world: as we cannot intelligently ask, for what end or purpose the angles of a triangle are together equal to two right angles, or for what object the radii of a circle are equal to each other, just as little are we allowed to ask,... | |
| Samuel Earnshaw - Differential equations, Partial - 1881 - 602 pages
...we shall see that the further progress of mathematics was indirectly to a very great extent due. b. The three angles of a triangle are together equal to two right angles. Eudemus, according to a statement of Proclus on Euclid i. 32, ascribes the discovery of this theorem... | |
| Charles Taylor - Mathematics - 1881 - 512 pages
...we shall see that the further progress of mathematics was indirectly to a very great extent due. i. The three angles of a triangle are together equal to two right angles. Eudemus, according to a statement of Proclus on Euclid I. 32, ascribes the discovery of this theorem... | |
| Masonic monthly - 1882 - 398 pages
...harmony. The ! I or double square, by its diagonal right line, is bisected into two triangles ; and as the three angles of a triangle are together equal to two right angles, so must the right line forming the hypothenuse of a right-angled triangle t^ be of a value double to... | |
| J. L. Robinson - Boats and boating - 1882 - 356 pages
...geometrical theorems must be known : (1) The angles at the base of an isosceles triangle are equal. (2) The three angles of a triangle are together equal to two right angles. (3) The angle at the centre of a circle is double the angle at the circumference standing on an equal... | |
| James McCosh - Intuition - 1882 - 472 pages
...inhabited, even this is not a primary conviction ; we believe it because of secondary testimony. Nay, that the three angles of a triangle are together equal to two right angles, is not a primitive judgment, for it needs other truths coming between to carry our conviction. X But... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...equilateral ; therefore the three angles EGD, GDE, DEG are equal to one another. [I. 5. Corollary. But the three angles of a triangle are together equal to two right angles ; [I. 32. therefore the angle EGD is the third part of two right angles. In the same manner it may... | |
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