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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Σελίδα 88
των Miles Bland - 1821 - 438 σελίδες
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...base, and the lines joining the intersections of the sides and the angles opposite, will be equal. 11. If from any point in the base of an isosceles...either extremity of the base to the opposite side. 12. Of all triangles having the same vertical angle, and whose bases -pass through a given point, the...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...vertical angle, is equal to half the difference of the angles at the base. 17- If from any point hi the base of an isosceles triangle perpendiculars be drawn to the sides, their sum will be equal to the perpendicular from either extremity of the base upon the opposite side...

The Sydney University Calendar

University Of Sydney, General Books - 1853
...the one to one side of the other, shew that the triangles are equal, without assuming Prop. 47, BI 5. If from any point in the base of an isosceles triangle perpendiculars be let fall upon the equal sides, shew that the sum of these perpendiculars is independent of the position...

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

Euclides - 1860
...therefore angle DCO = FCO ; that is, the vertical angle C is bisected. EXERCISE XXVI. — THEOREM. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides, their sum will be equal to the perpendicular from either extremity of the base upon the opposite side....

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 σελίδες
...distance of the first from the second is half that from the second to the third. 31. If from points in the base of an isosceles triangle perpendiculars be drawn to the sides, their sum is the same for each of the points. 32. Construct a parallelogram having given, — 1st....

An Elementary Course of Plane Geometry

1870 - 16 σελίδες
...distance of the first from the second is half that from the second to the third. 31. If from points in the base of an isosceles triangle perpendiculars be drawn to the sides, their sum is the same for each of the points. 32. Construct a parallelogram having given, — 1st....

A TREATISE ON SPECIAL OR ELEMENTARY GEOMETFH.

EDWARD OLNEY - 1872
...formed whose perimeter is constant and equal to the sum of the two equal sides of the triangle. 660. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides of the triangle, their sum is constant and equal to the perpendicular from one of the equal angles...

A Treatise on Special Or Elementary Geometry, Τόμοι 1-2

Edward Olney - 1872
...formed whose perimeter is constant and equal to the sum of the two equal sides of the triangle. 660. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides of the triangle, their sum is constant and equal to the perpendicular from one of the equal angles...

A Treatise on Special Or Elementary Geometry: An advanced course in geometry

Edward Olney - 1872 - 84 σελίδες
...perimeter is constant and equal to the sum of the two equal sides of the triangle. Fio. 3fi6. 660. If from any point in the base of an isosceles triangle perpendiculars be drawn to the sides of the triangle, their sum is constant and equal to the perpendicular from one of the equal angles...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...of two sides of a triangle is equal to half the third side and is parallel to it. 44. If from points in the base of an isosceles triangle perpendiculars be drawn to the sides, their sum is the sa.me for each of the points. 45. The straight lines joining the middle points of...




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