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" If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 21
av Euclides - 1863
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 sider
...GEOMETRY. 1. Define an angle, a triangle, an obtuse angle, an acute-angled triangle, a parallel-- ogram. 2. 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. 3. The greater side of a triangle is opposite the greater...
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(Report).

Elizabethan club - 1880 - 156 sider
...equation may be put into the form (1)' + < = IEUCLID L— IV., VI., XI. DIVISIONS I., II., AND III. 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. equal to the interior and opposite upon the same side,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...angles &c. QED Corollary. Hence every equilateral triangle is also equiangular. PROPOSITION 6. THEOREM. If two angles of a triangle be equal to one another, the sides also which attend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle,...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 sider
...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 one another. What proposition...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 sider
...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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Guide to preliminary army examination

John Gibson - 1881 - 302 sider
...must be used in your answer to it, or no marks will be awarded. 1. If two angles of a triangle DEF be equal to one another, the sides also which subtend,...to, the equal angles, shall be equal to one another. 2. The angles which one straight line makes with another straight line on one side of it, either are...
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The Cambridge Examiner, Volum 3

1883 - 536 sider
...inclusive. Higher Local work Nos. 9 — 16 inclusive. 1. If two angles of a triangle be equal to each other, the sides also which subtend or are opposite to the equal angles shall be equal to one another. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...within a parallelogram to the extremities of two opposite sides, are together half of the parallelogram. 5. If two angles of a triangle be equal to one another,...to the equal angles shall be equal to one another. 6. Define similar triangles : and show that in a right-angled triangle, if a perpendicular be drawn...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...QED Corollary. — Hence every equilateral triangle is also equiangular. PROPOSITION VI., THEOREM 3. If two angles of a triangle be equal to one another,...to the equal angles, shall be equal to one another. Let ABC be a A, having L ABC = L ACB ; the side AC shall be equal to the side AB. For if AC be not...
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The Practical Teacher, Volum 1,Utgave 1

1882 - 676 sider
...operation such as — , +, X are admissible.] 1. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. What is a corollary ? Give the corollary to this proposition. 2. If from the ends of a side of a triangle...
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