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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... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - الصفحة 11
بواسطة Euclides - 1842
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - عدد الصفحات: 248
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - عدد الصفحات: 380
...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...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - عدد الصفحات: 288
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - عدد الصفحات: 714
...(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...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - عدد الصفحات: 172
...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...

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - عدد الصفحات: 122
...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...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - عدد الصفحات: 448
...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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - عدد الصفحات: 262
...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...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - عدد الصفحات: 402
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - عدد الصفحات: 528
...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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