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 Books Books 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. Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 311
1858
Full view - About this book ## The Elements of Geometry, Symbolically Arranged

.../. ADC, EF || BC. Prop.2H. PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite...angles of every triangle are together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the ext. Z ACD = Z CAB +...
Full view - About this book ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the...
Full view - About this book ## The London University Calendar

London univ - 1846
...2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite angles, and the three interior angles of every triangle are equal to two right angles. Prove...
Full view - About this book ## The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...whose base passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior...the two interior and opposite angles ; and the three inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC be a A,...
Full view - About this book ## A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon...
Full view - About this book ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...the two interior and opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior...
Full view - About this book ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pages
...the given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the...
Full view - About this book ## Register

University of Cambridge - 1849
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together...
Full view - About this book ## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 226 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the...
Full view - About this book ## The English Journal of Education, Volume 4

Education - 1850
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon...
Full view - About this book