 | Euclides - 1858 - 248 pages
...be produced, the angles on the other side of the base shall be equal. Ax. 1. Magnitudes, &c. 6. I. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. Ax. 3. If equals be taken, &c. 34. I. The opposite... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COE. Hence an equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. If two angles of a... | |
 | Euclides - 1860 - 288 pages
...be solved, yet this does not affect the truth of thedemonstration. ,1! i : PROPOSITION VI. THEOREM. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, those angles, shall also be equal to one another. Given, ABC a triangle... | |
 | War office - 1861 - 714 pages
...(2) The time in which a sum of money will lie doubled at 85 per cent, compound interest. Euclid. 1. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. 2. If two triangles have two angles of one equal to... | |
 | Euclides - 1862 - 172 pages
...base of the triangle ABC. And it has been proved, that the angle FBC Is equal to the angle GCB, whlch are the angles upon the other side of the base. Therefore the angles at the base, &c. QED Cor. Hence every equilateral triangle is also equiangular. PROP. VI.— THEOREM. If two angles of a... | |
 | Euclides - 1863 - 122 pages
...the triangle ABC. It has also been proved that the angle FliC is equal to the angle GCB, and these are the angles upon the other side of the base. * Therefore the angles at the base, &c. QED f AG, and AB to (Hgp.~) A C. the two sidesFA, AC are equal to the two PEOP. VI. (THEonEM.)—If f.ro... | |
 | Euclides - 1864 - 448 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBCis equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COE. Hence an equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. If two angles of a... | |
 | Euclides - 1864 - 262 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBCis equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COR. Hence an equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. If two angles of a... | |
 | Euclides - 1865 - 402 pages
...ACB, whioh are the angles at the base of the triangle ABC. And it has been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED Cor. Hence every equilateral triangle is also equiangular. rB,OP. VI.— THEOREM. If two angles of... | |
 | Robert Potts - 1865 - 528 pages
...which are the angles at the base of the triangle ABC; and it has also been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...of the base. Therefore the angles at the base, &c. QBD CoR. Hence an equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. lf two angles... | |
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ABC is therefore equal to the remaining angle ACB, which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore, " the... 
