Books Books If two triangles have two sides of the one equal to two sides of the... The Element of Geometry - Page 1
by John Playfair - 1836 - 114 pages ## Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 164 pages
...opposite angles of a parallelogram, bisects the angles, the parallelogram is a rhombus. 16. If two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the angles contained by tljese sides equal to two fight angles, the triangles shall be equal... ## The Elements of Plane Geometry

...from Theor. 15 that the hypotenuse is the greatest side of a right-angled triangle. THEOR. 16. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, then the bases are unequal, the base of that which has the greater... ## Science Examinations ... Reports, Etc

1904
...angles to AB. (a.) Define a right angle. (b.) Prove the correctness of your construction. (10) 8. If two triangles have two sides of the one equal to two sides of the other each to each, and the angles included by those sides equal, show that the triangles are equal in all respects. 0 is the... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...given point A, an angle equal to the given angle DCE. QEF EXERCISE. PROPOSITION 24. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one greater than the angle contained by the corresponding... ## Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 285 pages
...is the greater. Proof. BA=BD + DA =.BD + DA'>BA'. FIG. 220. FIG. 221. 552. Theorem. // two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... ## Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 285 pages
...the axis is the greater. Proof. BA=BD + DA = BD + DA'>BA'. F1G. 221. 552. Theorem. // two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater... ## Annual Report of the Commissioners ..., Volume 71

1905
...of those sides and its continuation to meet a perpendicular on it from the opposite angle. 5. If two triangles have two sides of the one equal to two sides of the other, ea<.'h to each but their bases unequal ; the angle contained by the sides of that which has... ## Annual Report - Dept. of Education

...triangles? (b) Show that in the following proposition the triangles are not necessarily equal: Two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite to one side of one triangle equal to the angle opposite to the equal side of the... ## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

...C, and ADB ', the supplement of ADC, is the supplement of C, since, by Art. 76, ADC-C. 9' 81. If two triangles have two sides of the one equal to two sides of the other, and the angles opposite one pair of the equal sides are right angles or equal obtuse angles,... 