| Great Britain. Admiralty - 1846
...equality of the Z. s on the oppo. side of the base will follow from Prop. 12. PROP. VI. THEOR. e. 1 Eu. **If two angles of a triangle be equal to one another,...to the equal angles, shall be equal to one another.** Let ^\ ABC have L ABC = /_ ACB; then AB = AC. A : AC, one of them is > the other ; Prop.« and In <^s... | |
| Great Britain. Admiralty - 1846
...equality of the /. s on the oppo. side of the base will follow from Prop. 12. PROP. VI. THEOR. e. 1 Eu. **If two angles of a triangle be equal to one another,...to the equal angles, shall be equal to one another.** Let ^ ABC have L ABC = L ACB; then AB = AC. IfAB^AC, one of them is > the other ; Prop, t In ^s DBC,... | |
| Euclides - 1846
...the base %c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOE. **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 triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the... | |
| London univ - 1846
...that instrument. WEDNESDAY. July 9.— Morning, 10 to 1. GEOMETRY. Examiner, Mr. JERRARD. 1. Show that **if two angles of a triangle be equal to one another, the sides** which subtend or are opposite to them shall also be equal to one another. 2. Bisect a given rectilineal... | |
| Euclides - 1847
...various operations of Carpentry, this principle is constantly applicable. PROP. VI. THEOR. GEN. ENUN. — **If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another.** PART. ENUN. — Let ABC be a. A, of which the ZABC = Z.ACB, then the side AB =: AC. CONST. — For... | |
| Great Britain. Committee on Education - 1847
...sun. 4. Why do similar eclipses return after an interval of 19 years? Geometry and Trigonometry. 1. **If two angles of a triangle be equal to one another,...or are opposite to the equal angles shall be equal.** 2. If at a point in a given straight line two other straight lines on the opposite sides of it make... | |
| Great Britain. Committee on Education - 1847
...sun. 4. Why do similar eclipses return after an interval of 19 years? Geometry and Trigonometry. 1. **If two angles of a triangle be equal to one another,...or are opposite to the equal angles shall be equal.** 2. If at a point in a given straight line two other straight lines on the opposite sides of it make... | |
| Euclides - 1848
...base shall be equal. COR. Hence every equilateral triangle is also equiangular. PROP. VI. THEOREM. **If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another.** COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOREM. Upon the same base,... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...the base, &c. QED COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. **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 triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the... | |
| 1850
...SECTION III. — 1. From a given point to draw a straight line equal to a given straight line. '2. **If two angles of a triangle be equal to one another,...are opposite to the equal angles, shall be equal.** 3. If two triangles have two sides of the one equal to two sides of the other, and have likewise their... | |
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