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" Any two sides of a triangle are together greater than the third side. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 72
των Thomas Perronet Thompson - 1833 - 150 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...is not equal to AB ; therefore AC is greater than AB." .* ',", PROPOSITION XX. THEOREM. '•,'. ;r:! Any two sides of a triangle are together greater than the third side. Given a triangle ABC ; to prove that any two sides, of it together are greater than the third side;...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...Kidsummer, 1863. WEDNESDAY, July 15th,— Morning, 12 to 2. GEOMETRY. Examiner — THE REV. G. FEOST, MA 1. Any two sides of a triangle are together greater than the third side. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...pass through the point A, let it fall otherwise, if possible, as FGDH, and join AF, AG. Then, because two sides of a triangle are together greater than the third side, (l. 20.) therefore FG, GA are greater than FA : but FA is equal to FH; (I. def. 15.) therefore FG,...

Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...that there is a white ball at each end ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...velocity. How high does it then ascend 1 MATHEMATICS. Afternoon Paper. REV. WN GRIFFIN, MA EUCLID. 1. Any two sides of a triangle are together greater than the third. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...it is not equal to AB ; therefore AC Is greater than AB. Wherefore, in any triangle, &c. QED PROP. XX. — THEOREM. Any two sides of a triangle are together greater than the third side. (Eeferences — Prop. i. 3, 5, 19 ; ax. 9.) Let ABC be a triangle. Then any two sides of it together...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Therefore AC is greater than AB. Conclusion. — Therefore, the greater angle, &c. QED PROPOSITION 20.— THEOREM. Any two sides of a triangle are together greater than the third side. (References— Prop. I. 3, 5, 19; ax. 9.) Hypothesis. — Let ABC be a triangle. Sequence. — Any...

Calendar

University of Sydney - 1906
...any formula for the roots of a quadratic. GEOMETRY. TWO HOURS AND A HALF. PAPER A. — (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one...

Symbolic Logic and Its Applications

Hugh MacColl - 1906 - 141 σελίδες
...on lines not very dissimilar. A striking instance is Euclid's demonstration of the proposition that any two sides of a triangle are together greater than the third — a proposition which the Epicureans derided as patent even to asses, who always took the shortest...

Annual Report of the Commissioners ..., Τόμος 73

1907
...sides and angles of a parallelogram are equal to one another ; and (2) the diagonal bisects it. 4. Any two sides of a triangle are together greater than the third side. SECTION B. 5. The base of an isosceles triangle is 54 feet, and each side is 45 feet. Find the length...




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