a 



1 86 BOTANY OF THE LIVING PLANT 



|„ p^ , ,., \t its base it is about ,V of an inch in diameter, but it is there 



ie degree by its sheathing leaves. It may grow in favourable 



}o inches before bearing its inflorescence. Thus the 



mis to its diameter as about 500 to 1, and still it can uphold 



the infl nee at its distal end, together with the weight of the fruit when 



ripe. Tins extreme proportion of length to diameter suffices for a small 



Gran , but it cannot be maintained indefinitely for larger structures. For 



the weight of a structure varies as the cube of its dimensions, while the strength 



vanes only as the square. There must be then a limit of size beyond which 



it becomes impossible for a certain type of structure to be maintained. For 



instance, according to the proportion of the Molinia stem, a ten-foot fishing 



should only be J inch in diameter at the butt ; but it is thicker than 



\ striking case is seen in the Giant Bamboos. Ewart quotes one 



60 metres high, and 40 cms. in diameter at the base. That is a proportion 



nlv about 150 to 1. For a plant of that size these dimensions have been 

 calculated as about the limit possible, though the proportions are less striking 

 than those of the smaller Molinia. There is in point of fact a size-limit for 

 any plan of plant-construction based upon a certain quality and use of 

 material : beyond this limit the stem will either bend or break. In the 

 Bamboo, which approaches the limit, the extreme top does bend in a graceful 

 curve ; as it does also in the haulms of most Grasses, which like Molinia 

 approach the limit of mechanical resistance from their actual dimensions, 

 structure and materials. 



(b) Stiffening and Protection of Flattened Surfaces. 



The mechanical problems affecting the dorsiventral leaf differ from 

 those of the radially constructed stem. The end to be gained is the 

 largest possible expanse of blade, with the least possible risk from 

 winds, and the employment of the least possible material. The elastic 

 petiole allows the blade as a whole to yield before the wind. In the 

 extreme case of the Aspen, where the least breath causes a shiver of 

 the leaves, the petiole is laterally compressed so as to be very flexible. 

 But in most leaves it is stiffer, and semilunar in section, with the convex 



! e downwards, an arrangement which secures efficient support for the 

 blade, while still permitting some freedom of movement (Fig. 45, p. 70). 

 Another feature of mechanical importance is the cutting of the larger 

 leaves into segments, so that while the aggregate area may still be con- 



lerable, no unduly large surface is exposed to the wind. The risks of a 

 large leaf-area are two : first, that of folding into so sharp a curve as 

 to crush the soft mesophyll between the firmer layers of epidermis; 

 and second, that of tearing from the margin inwards. The former 

 is met by the vascular venation, which is often accompanied by 

 sclerotic strands, and by enlargement of the surrounding tissues so 



