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" Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the... "
A Supplement to the Elements of Euclid - Σελίδα 564
των Daniel Cresswell - 1825 - 582 σελίδες
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 634 σελίδες
...from D parallel to CB, meeting А С in F ; prove that EF is a third proportional to EA and EC. 6. в. If from any angle of a triangle a straight line be drawn perpendicular to the base, prove that the rectangle contained by the sides of the triangle is equal to the rectangle contained...

A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 488 σελίδες
...= the rect. BD, DC, with the sq. on AD. QED EXERCISE. PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line be drawn perpendicular...the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the perpendicular and the diameter of the circle described...

Sessional Papers, Τόμος 37,Μέρος 4

Ontario. Legislative Assembly - 1905 - 1104 σελίδες
...bisects the angle. If from the vertical angle of a triangle a straight line be drawn perpen dicular to the base, the rectangle contained by the sides of the triangle i equal to the rectangle contained by the perpendicular and the diameter q (he circle described about...

Calendar of Queen's College and University, Kingston, Canada for the Year ...

Queen's University (Kingston, Ont.) - 1906 - 314 σελίδες
...two other sides. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. If...

Annual Report of the Association of Ontario Land Surveyors, Τεύχος 22

Association of Ontario Land Surveyors - 1907 - 218 σελίδες
...ratio of their sides. 10. If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base together with the square on the straight line which bisects the angle. FINAL...

Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...omitted t 321. THEOREM [T.l4]. — If from the vertical angle of a triangle a perpendicular iB drawn to the base, the rectangle contained by the sides...the triangle is equal to the rectangle contained by this perpendicular and the diameter of the circle described about the triangle. In Fig. 457 :— Given...

Books 3-9

Euclid - 1908 - 456 σελίδες
...BC, the rectangle BD, DC together with the square on AD is equal to the square on AB. PROPOSITION C. If from any angle of a triangle a straight line be drawn perpendicular to the opposite side, the rectangle contained by the other two sides of the triangle is equal to the rectangle...

General Announcement - McGill University, Montreal

McGill University - 1911 - 178 σελίδες
...about the triangle. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of tfie base, together with the square on the straight line which bisects the angle. The...

Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 σελίδες
...two other sides. If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. If...

The Calendar

University of South Africa - 1913 - 768 σελίδες
...contained by the segments of the base. If from the vertical angle of a triangle a iieriiemlicular be drawn to the base, the rectangle contained by the sides of the triangle is equal to the re.-tangle contained by the per|iendicnlar and the diameter of the circle circumscribing the triangle....




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