 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...right angle will be a mean proportional between the hypotenuse and the adjacent segment ; and, Thirdly, The perpendicular will be a mean proportional between the two segments of the hypotenuse. In the triangle ABC, let the angle A be right, and AD perpendicular to BC. First. The triangles... | |
 | James Hayward - Geometry - 1829 - 218 pages
...right-angle in a right-angled triangle, a perpendicular be drawn to the hypothenuse, — (1). This perpendicular will be a mean proportional between the two segments of the hypothenuse ; and will divide the triangle into two triangles similar to each other and similar to the whole. (2).... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...including the right angle will be a mean proportional between the hypothenuse and the adjacent segment. 3d. The perpendicular will be a mean proportional between the two segments of the hypothenuse. Let BAC be a right angled triangle, and AD perpendicular to the hypothenuse BC. First. The triangles... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...The two partial triangles thus formed, will be similar to each other, and to the whole triangle. 'Ad. The perpendicular will be a mean proportional between the two segments of the hypothenuse. First. The triangles BAD and BAC have the common angle B. the right angle BDA = B AC, and therefore... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...triangles thus formed will be similar to the whole triangle, and consequently similar to each other. IL The perpendicular will be a mean proportional between the two segments of the hypotenuse. HI. Either side containing the right angle will be a mean proportional between its adjacent... | |
 | Education - 1862 - 752 pages
...the right angle will be a meaii proportional between the adjacent segment and the entire hypothcnuee; 3° the perpendicular will be a mean proportional...square of the number which expresses the length of the hjpothenuse is equal to the sum of the squares of the numbers which express the lengths of the other... | |
 | Henry Barnard - Military education - 1862 - 412 pages
...to the first side, if the angle is acute,&nd plut twice the same product, if this angle is obtuse. In a right-angled triangle, the square of the number...length of the hypothenuse is equal to the sum of the squares of the numbers which express the lengths of the other two sides. Parallelograms.—Properties... | |
 | Henry Barnard - Military education - 1862 - 410 pages
...given right line in the same manner as another is divided.—Division of a right line into equal parts. In a right-angled triangle, the square of the number...length of the hypothenuse is equal to the sum of the squares of the numbers which express the lengths of the other two sides. The three sides of any triangle... | |
 | Education - 1863 - 768 pages
...mean proportional between the adjacent segment and the entire hypothenuse ; 8° the perpendicular Till be a mean proportional between the two segments of the hypothenuse. In a right-anglea triangle, the square of the number which expresses the length of the hypothenuse is equal... | |
 | James Fraser (bp. of Manchester.) - 1866 - 480 pages
...about the right angle will be a mean proportional between the hypothenuse and the adjacent segment : .3°. The perpendicular will be a mean proportional between the two segments of the hypothenuse. (Book IV., Prop 23.) 10. If two chords intersect in a circle, their segments will be reciprocally proportional.... | |
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In a right-angled triangle, the square of the number which expresses the length of the hypothenuse is equal to the sum of the squares of the numbers which express the lengths of the other two sides. The three sides of any triangle being expressed in numbers,... 
