 | John Playfair - Euclid's Elements - 1847 - 340 pages
...FBC is equal to the angle GCB, which are the angles upon the other side of the base. COROLLARY. Henco every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle le equal to one another, the sides which subtend or are opposite to them, are also equal to one another.... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. COROLLARY. Hence every equilateral triangle is also...equiangular PROP. VI. THEOR. If two angles of a triangle lie equal to one another, the sides which subtend or are opposite to them, are also equal to one another.... | |
 | Euclides - 1852 - 152 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...Hence every equilateral triangle is also equiangular. [The method of drawing isosceles triangles is as follows. Draw a right line AB. With one point of the... | |
 | Euclides - Geometry - 1853 - 176 pages
...of the triangle ab С : and it has also been proved that the angle fbС is equal to the angle gСb, which are the angles upon the other side of the base....Hence every equilateral triangle is also equiangular. PROPOSITION VI. — THEOREM. If two angles of a triangle be equal to one another, the sides which subtend,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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...side of the base. Therefore the angles at the base, etc. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROPOSITION VI. THEOR. If... | |
 | Euclides - 1853 - 146 pages
...the triangle ABC. And it has also been proved that the angle FBC is equal to the angle GCB, which arc the angles upon the other side of the base. Therefore the angles at the base, &c. UED COROLLABY. — Hence every equilateral Mangle is also equiangular. PROP. VI. THEOREM. If two angles... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...ACB, which are the angles at the i base of the triangle ABC : And it has also been proved that the FBC is equal to the angle GCB, which are the angles upon the ot1of the base. COROLLARY. Hence every equilateral triangle is also equian PROP. VI. THEOR. If two... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...the isosceles triangle ABC, and the angles FBC, G С В, before proved to be equal, are the angles on the other side of the base. Therefore the angles at the base, &c. QED COROLLARY. — Every equilateral triangle is equiangular. PKOPOSITIOX YI.-.TIIEOREM. If two angles (А В С,... | |
 | Euclides - 1855 - 270 pages
...the triangle ABС. It has also been proved that the angle FBС is equal to the angle GСB, and these are the angles upon the other side of the base. Therefore...the base, &c. QED Corollary. Hence every equilateral (equal-sided) triangle is also equiangular (equalangled). This demonstration might be shortened by... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...side of the base. COROLLARY. Hence every equilateral triangle is also equiangular PROP. VI. THE0R. If two angles of a triangle be equal to one another, the sides which subtend or are opposite to them, are also equal to one another. Let ABC be a triangle having... | |
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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... 
