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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 ... - Page 11
by Euclides - 1842
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...referring only to Fig. 2. Repeat. — The enunciation of Euc. I. 4 and Axiom 9. General Enunciation. If two angles of a triangle be equal to one another, the sides which are opposite to the equal angles shall be equal to one another. Particular Enunciation. Given....
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...LETJDESDORF, MA 1. Define a semicircle, an equilateral triangle, a right angle, parallel straight lines. 2. If two angles of a triangle be equal to one another, the sides also which are opposite to the equal angles shall be equal to one another. 3. Bisect a given rectilineal angle...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...square on AB may be written "sq. on AB.'' and the rectangle contained by AB and CD, " rect. AB. CD." 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to ono another. What proposition...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...straight line is called the locus of points equidistant from the extremities of the given base.) PROP. 6. THEOR. If two angles of a triangle be equal to one...the sides also which subtend, or are opposite to, those angles shall be equal to one another. Given A ABC, having L ABC = To prove AB = AC. If AB be...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...which are the angles at the base of the triangle ABC ; and it also has 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. COROLLARY. — Hence every equilateral triangle is also equiangular. VI. — If two angles of a triangle...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...angles at the base of the triangle ABC. And CBF, BCG have been shown equal, which are the angles on the other side of the base. Therefore, the angles...Hence every equilateral triangle is also equiangular. For the meaning of this term ' corollary,' see the remarks which follow. Note. — To remember the...
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 pages
...triangle ; and it also been proved, that the angle is equal to the angle , which are the angles upon other side of the base. Therefore the angles at the base, &c. RELFE BROTHERS' EUCLID SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...GEOMETRY. !• Define an angle, a triangle, an obtuse angle, an acute-angled triangle, a parallelogram. 2> If two angles of a triangle be equal to one another, the sides also which subtend the »inn! angles shall be equal to one another. 3' The greater side of a triangle is opposite the...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...superficies, a semicircle, and a rhombus. What is an axiom? Write out any six of Euclid's axioms. 2. If two angles of a triangle be equal to one another, the sides also which Hubtcnd, or are opposite to, the equal angles shall be equal to one another. 3. If two triangles have...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1072 pages
...time each has performed the journey. 8 8 PLANE GEOMETRY (!ST PAPER). No. of Marks. TIME, 3 HOURS. 1. If two angles of a triangle be equal to one another, the sides also which 16 subtend, or are opposite to, the equal angles, shall be equal to one another. 2. The three interior...
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