 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...of a triangle be produced, the exterior angle ii equal to the sum of the two interior and ojipositu angles. Let ABC be a triangle, and let one of its sides, BC be produced towards D ; then the exterior angle ACD is equal to the two interior and opposite angles, CAB, ABC.... | |
 | Robert Potts - 1868 - 434 pages
...any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD shall... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences whether they be at the centres or... | |
 | Amos Dean - Civilization - 1869 - 550 pages
...to four. He is said to have discovered the three following geometrical theorems, viz : 1. That the interior angles of every triangle are together equal to two right angles. 2. That the only polygons which will till up the whole space about a given point are the equilateral... | |
 | Anthony Nesbit - 1870 - 578 pages
...to- c \ () gether equal to two right angles (Enc. i. 29 ; H\ Simp. i. 7 ; Em. i. 4). \ THEOREM IV. Let ABC be a triangle, and let one of its sides Bc be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB and ABC ; also the three... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. The sides AS, AC of a triangle ABG are produced to E, F and the angles CBE, BCF are bisected by the... | |
 | James Smith - 1870 - 634 pages
...seen this, for neither of them has given the corollary I have quoted ; but they both maintain, that the three interior angles of every triangle are together equal to two right angles. Well, then, is not an equilateral triangle, when inscribed to a circle, with all its angles touching... | |
 | Euclides - 1871 - 136 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. J> Let ABC be a A , and let one of its sides, BC, be produced to D. Then will I. L ACD = L s ABC, BAC... | |
 | Herbert Spencer - Psychology - 1873 - 670 pages
...any triangle be produced, tho exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together...triangle, and let one of its sides BC be produced to D ; then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...and opposite angles; and the three interior angles of evary triangle are equal to two right cmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
