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 Teokset Teokset 1 - 10 / 21 haulle If a line be drawn parallel to the base of a triangle, it will divide, the..
If a line be drawn parallel to the base of a triangle, it will divide, the.
Vector Analysis: A Text-book for the Use of Students of Mathematics ... - Sivu 33
tekijä(t) Edwin Bidwell Wilson, Josiah Willard Gibbs - 1901 - 436 sivua
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## Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - 1819 - 377 sivua
...way, CL=CM. Now (Eucl. ii. 12.) .-. FD* and = 2 BC1 + BA' + AC\ + zBC x BM+ [2 BCx CM 2 BC1 = (46.) If a line be drawn parallel to the base of a triangle, and terminated in the sides ; to draw a line cutting it, and terminated also by the sides, so that...

## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 sivua
...the squares of the lines joining them will be equal to five times the square of the hypothenuse. 46'. If a line be drawn parallel to the base of a triangle, and terminated in the sides; to draw a line cutting it, and terminated also by the sides, so that the...

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 sivua
...hence the squares of the sides are together equal to the squares of the diagonals. E THEOREM. 106. If a line be drawn parallel to the base of a triangle, it will divide the other sides proportionally. Let ABC be a triangle, and DE a straight line drawn...

## A Collection of Cambridge Mathematical Examination Papers: As Given at ...

...minimum, and explain fully Newton's reasoning in Cor. 9- Pr. 66. ST. JOHN'S COLLEGE, JUNE 4, 1821. 1 . IF a line be drawn parallel to the base of a cycloid, find the limiting ratio of the segment of a cycloid to the corresponding segment of the generating...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 sivua
...of the sides are together equivalent to the squares of the diagonals. E C PROPOSITION XV. THEOREM. If a line be drawn parallel to the base of a triangle, it will divide, the. other sides proportionally. Let ABC be a triangle, and DE a straight line drawn...

## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sivua
...harmonically. be drawn bisecting the opposite sides, they will divide each other in the ratio of two to one. 4. If a line be drawn parallel to the base of a triangle to meet the sides, and the alternate extremities of this line and of the base be joined, the line drawn...

## First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 252 sivua
...AC. This is called the carpenter's theorem. PART I. — SECTION VI. Properties of the Triangle. 11. If a line be drawn parallel to the base of a triangle, it will cut the two other sides proportionally. Thus, if DE be drawn parallel to the base BC, we shall...

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...(a+W . (a— b)3 , . ,, cal formula, v— £ |-v— „— =a5-f-6. ** ' <fc PROPOSITION XIV. THEOREM. If a line be drawn parallel to the base of a triangle, it will divide t/te sides proportionally. Let ABC be a triangle, and DE a straight line drawn parallel...

## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 sivua
...0 ...embers together,and observing that BE and DE are equal, we shall have PROPOSITION XV. THEOREM. If a line be drawn parallel to the base of a triangle, it will diviu the other sides proportionally. Let ABC be a triangle, and DE a straight line drawn parallel...

## ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...is equal to the number in the two small squares. Of Triangle Sides cut Proportionally. THEOREM XIII, If a line be drawn parallel to the base of a triangle^ it will divide the other two sides proportionally. Let ABC be any triangle, and DE a straight line...