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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 ...

John Martin Frederick Wright - 1833
...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...




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